<?xml version="1.0" encoding="UTF-8"?>
<?validation-md5-digest f68e7cb557e9f4aea8df77fe7e701066?>
<worksheet version="2.0.2" xmlns="http://schemas.mathsoft.com/worksheet20" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ws="http://schemas.mathsoft.com/worksheet20" xmlns:ml="http://schemas.mathsoft.com/math20" xmlns:u="http://schemas.mathsoft.com/units10" xmlns:p="http://schemas.mathsoft.com/provenance10">
  <metadata>
    <generator>Mathcad Professional 13.0</generator>
    <userData>
      <title />
      <description />
      <author>Mathsoft Engineering &amp; Education, Inc.</author>
      <company>Mathsoft Engineering &amp; Education, Inc.</company>
      <keywords />
      <revisedBy>*</revisedBy>
    </userData>
    <identityInfo>
      <revision>5</revision>
      <documentID>41812d6c-5742-4747-b666-4343d52b6e6c</documentID>
      <versionID>b2beb178-cb01-458d-9172-3896b433518d</versionID>
      <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID>
      <branchID>00000000-0000-0000-0000-000000000000</branchID>
      <comment />
    </identityInfo>
  </metadata>
  <settings>
    <presentation>
      <textRendering>
        <textStyles>
          <textStyle name="Normal">
            <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit" />
            <inlineAttr font-family="Times New Roman" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline" />
          </textStyle>
        </textStyles>
      </textRendering>
      <mathRendering equation-color="#000">
        <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="small" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow" />
        <mathStyles>
          <mathStyle name="Variables" font-family="Times New Roman" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false" />
          <mathStyle name="Constants" font-family="Times New Roman" font-charset="0" font-size="12" font-weight="normal" font-style="normal" underline="false" />
          <mathStyle name="User 1" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" />
          <mathStyle name="User 2" font-family="Courier New" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" />
          <mathStyle name="User 3" font-family="System" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" />
          <mathStyle name="User 4" font-family="Script" font-charset="255" font-size="10" font-weight="normal" font-style="normal" underline="false" />
          <mathStyle name="User 5" font-family="Roman" font-charset="255" font-size="10" font-weight="normal" font-style="normal" underline="false" />
          <mathStyle name="User 6" font-family="Modern" font-charset="255" font-size="10" font-weight="normal" font-style="normal" underline="false" />
          <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" />
          <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="14" font-weight="normal" font-style="normal" underline="false" />
        </mathStyles>
        <dimensionNames mass="mass" length="length" time="time" current="charge" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance" />
        <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false" />
        <results>
          <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3" imaginary-value="i" zero-threshold="15" />
          <matrix display-style="auto" expand-nested-arrays="false" />
          <unit format-units="false" simplify-units="false" fractional-unit-exponent="false" />
        </results>
      </mathRendering>
      <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="1" orientation="portrait" print-single-page-width="false" page-width="612" page-height="792">
        <margins left="86.4" right="27.6" top="86.4" bottom="86.4" />
        <header use-full-page-width="false" />
        <footer use-full-page-width="false" />
      </pageModel>
      <colorModel background-color="#fff" default-highlight-color="#ffff80" />
      <language math="EN" UI="EN" />
    </presentation>
    <calculation>
      <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8" />
      <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0">
        <compatibility multiple-assignment="MC12" local-assignment="MC12" />
      </calculationBehavior>
      <units>
        <currentUnitSystem name="mks" customized="false" />
      </units>
    </calculation>
    <editor protection-level="none" view-annotations="false" view-regions="false">
      <ruler is-visible="false" ruler-unit="in" />
      <grid granularity-x="6" granularity-y="6" />
    </editor>
    <fileFormat screen-dpi="96" image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="false" save-text-images="false" />
    <miscellaneous>
      <handbook handbook-region-tag-ub="635" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295" />
    </miscellaneous>
  </settings>
  <regions>
    <region region-id="601" left="6" top="6" width="55.5" height="43.5" align-x="6" align-y="6" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <png item-idref="1" display-width="54" display-height="42" />
      <link href="./Visualiz.xmcd" title="Links to Visualization and Synthetic Images " popup="false" />
      <rendering item-idref="2" />
    </region>
    <region region-id="602" left="66" top="6.75" width="243.75" height="14.25" align-x="66" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
          <b>
            <c val="#008080">VISUALIZATION AND SYNTHETIC IMAGES</c>
          </b>
        </p>
      </text>
    </region>
    <region region-id="603" left="66" top="27.75" width="217.5" height="18" align-x="66" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
          <f size="16">
            <b>
              <c val="#800080">A Demonstration of Ray Tracing</c>
            </b>
          </f>
        </p>
      </text>
      <indexes>
        <phrase>ray tracing, demo</phrase>
      </indexes>
    </region>
    <region region-id="604" left="6" top="54" width="344.25" height="5.25" align-x="6" align-y="54" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <png item-idref="3" display-width="342.75" display-height="3.75" />
      <rendering item-idref="4" />
    </region>
    <region region-id="631" left="162" top="78" width="143.25" height="143.25" align-x="162" align-y="78" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <png item-idref="5" display-width="141.75" display-height="141.75" />
      <rendering item-idref="6" />
    </region>
    <region region-id="438" left="6" top="90.75" width="136.5" height="114" align-x="6" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Ray tracing is a method of rendering an image of an object with realistic shading. The image at right is a ray-traced sphere which was created i<f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">n Mathcad using the steps presented in this document. </inlineAttr></f></p>
      </text>
    </region>
    <region region-id="328" left="6" top="234.75" width="333.75" height="57" align-x="6" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Although the tools are available in <f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">Mathcad to</inlineAttr></f> ray trace an image, doing so is time-consuming. Accordingly, the examples created in this document are intentionally small - the point is to give you some insight into the method itself. </p>
      </text>
    </region>
    <region region-id="619" left="0" top="306" width="6000" height="6" align-x="0" align-y="306" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="617" left="6" top="318.75" width="36" height="14.25" align-x="6" align-y="330" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
          <f family="Times New Roman" charset="0">
            <b>
              <inlineAttr line-through="false">
                <c val="#800000">Theory</c>
              </inlineAttr>
            </b>
          </f>
        </p>
      </text>
    </region>
    <region region-id="618" left="6" top="336.75" width="321" height="71.25" align-x="6" align-y="348" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Ray tracing methodology describes both the "scene" and an imaginary camera or "eye" whose view of the scene matches the image we wish to create. Since whatever the eye "sees" is the result of light bouncing off of the objects in the scene, creating the image amounts to describing the rays which bounce off the object and hit the eye. </p>
      </text>
    </region>
    <region region-id="331" left="6" top="420.75" width="231" height="14.25" align-x="6" align-y="432" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The following rough drawing illustrates the situation:</p>
      </text>
    </region>
    <region region-id="335" left="36" top="444" width="197.25" height="138" align-x="36" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <ole clsid="{D3E34B21-9D75-101A-8C3D-00AA001A1652}" type="embedded" item-idref="7" />
      <rendering item-idref="8" />
    </region>
    <region region-id="336" left="6" top="594.75" width="318.75" height="85.5" align-x="6" align-y="606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">When a digital image is created, only a finite amount of data can be used. Not all the light rays which reach the eye can be rendered, only a finite number. To cut down the number of rays, set an imaginary frame in front of the eye, and treat only those light rays which pass through the frame, and, only a finite number of pixels within the frame. Here is a frame with 24 pixels covering it. </p>
      </text>
    </region>
    <region region-id="338" left="36" top="696" width="188.25" height="114.75" align-x="36" align-y="696" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <ole clsid="{D3E34B21-9D75-101A-8C3D-00AA001A1652}" type="embedded" item-idref="9" />
      <rendering item-idref="10" />
    </region>
    <region region-id="340" left="6" top="822.75" width="327.75" height="57" align-x="6" align-y="834" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">For each pixel in the frame, the single light ray is followed until it hits the object being rendered. At the point of contact, a model finds the intensity of light reflected and perhaps also the color of the object. This intensity value determines the pixel value in the rendered image.</p>
      </text>
    </region>
    <region region-id="431" left="0" top="894" width="6000" height="6" align-x="0" align-y="894" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="613" left="6" top="906.75" width="98.25" height="14.25" align-x="6" align-y="918" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">
          <f family="Times New Roman" charset="0">
            <b>
              <inlineAttr line-through="false">
                <c val="#800000">Example - a sphere</c>
              </inlineAttr>
            </b>
          </f>
        </p>
      </text>
    </region>
    <region region-id="346" left="6" top="930.75" width="320.25" height="28.5" align-x="6" align-y="942" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">For simplicity, the sphere is of radius 1 with its center at the origin. The equation of this sphere is:</p>
      </text>
    </region>
    <region region-id="343" left="36" top="967.5" width="80.25" height="21" align-x="101.25" align-y="984" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:apply>
          <ml:equal />
          <ml:apply>
            <ml:plus />
            <ml:apply>
              <ml:plus />
              <ml:apply>
                <ml:pow />
                <ml:id xml:space="preserve">x</ml:id>
                <ml:real>2</ml:real>
              </ml:apply>
              <ml:apply>
                <ml:pow />
                <ml:id xml:space="preserve">y</ml:id>
                <ml:real>2</ml:real>
              </ml:apply>
            </ml:apply>
            <ml:apply>
              <ml:pow />
              <ml:id xml:space="preserve">z</ml:id>
              <ml:real>2</ml:real>
            </ml:apply>
          </ml:apply>
          <ml:real>1</ml:real>
        </ml:apply>
      </math>
      <rendering item-idref="11" />
    </region>
    <region region-id="347" left="6" top="996.75" width="312.75" height="28.5" align-x="6" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The sphere is represented by the coordinates of its center and its radius. These parameters can be expressed as a vector:</p>
      </text>
    </region>
    <region region-id="345" left="36" top="1031.25" width="71.25" height="78.75" align-x="74.25" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">sphere</ml:id>
          <ml:matrix rows="4" cols="1">
            <ml:real>0</ml:real>
            <ml:real>0</ml:real>
            <ml:real>0</ml:real>
            <ml:real>1</ml:real>
          </ml:matrix>
        </ml:define>
      </math>
      <rendering item-idref="12" />
    </region>
    <region region-id="348" left="6" top="1116.75" width="322.5" height="28.5" align-x="6" align-y="1128" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The number of pixels is 64 <f family="Arial" charset="0"><inlineAttr line-through="false">x</inlineAttr></f><f family="Arial" charset="0"><inlineAttr line-through="false"><sp /></inlineAttr></f>64, a relatively small image, to reduce calculation time.</p>
      </text>
    </region>
    <region region-id="349" left="36" top="1152.75" width="75.75" height="15.75" align-x="89.25" align-y="1164" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">numRows</ml:id>
          <ml:real>64</ml:real>
        </ml:define>
      </math>
      <rendering item-idref="13" />
    </region>
    <region region-id="350" left="150" top="1152.75" width="70.5" height="15.75" align-x="198" align-y="1164" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">numCols</ml:id>
          <ml:real>64</ml:real>
        </ml:define>
      </math>
      <rendering item-idref="14" />
    </region>
    <region region-id="351" left="6" top="1176.75" width="339" height="42.75" align-x="6" align-y="1188" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The position of the eye (viewpoint) and the position of the frame are defined so that the frame is perpendicular to the x axis. It can be described by giving the coordinates of its upper left and lower right-hand corners:</p>
      </text>
    </region>
    <region region-id="359" left="120" top="1242.75" width="193.5" height="28.5" align-x="120" align-y="1254" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The x, y and z coordinates of the upper left and lower right corners of the frame.</p>
      </text>
    </region>
    <region region-id="352" left="36" top="1227.75" width="75" height="57.75" align-x="57" align-y="1260" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">vR</ml:id>
          <ml:matrix rows="3" cols="2">
            <ml:real>3</ml:real>
            <ml:real>1</ml:real>
            <ml:real>1</ml:real>
            <ml:real>3</ml:real>
            <ml:real>-1</ml:real>
            <ml:real>-1</ml:real>
          </ml:matrix>
        </ml:define>
      </math>
      <rendering item-idref="15" />
    </region>
    <region region-id="354" left="36" top="1293.75" width="57" height="57.75" align-x="60" align-y="1326" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">eye</ml:id>
          <ml:matrix rows="3" cols="1">
            <ml:real>5</ml:real>
            <ml:real>0</ml:real>
            <ml:real>0</ml:real>
          </ml:matrix>
        </ml:define>
      </math>
      <rendering item-idref="16" />
    </region>
    <region region-id="358" left="120" top="1314.75" width="105.75" height="14.25" align-x="120" align-y="1326" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The position of the eye.</p>
      </text>
    </region>
    <region region-id="363" left="6" top="1362.75" width="327" height="28.5" align-x="6" align-y="1374" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Now for the light rays: light travels in a straight line, so the equation for a light ray can be written:</p>
      </text>
    </region>
    <region region-id="361" left="36" top="1398.75" width="74.25" height="15.75" align-x="70.5" align-y="1410" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:apply>
          <ml:equal />
          <ml:apply>
            <ml:id xml:space="preserve">ray</ml:id>
            <ml:id xml:space="preserve">t</ml:id>
          </ml:apply>
          <ml:apply>
            <ml:plus />
            <ml:id xml:space="preserve">x</ml:id>
            <ml:apply>
              <ml:mult style="default" />
              <ml:id xml:space="preserve">t</ml:id>
              <ml:id xml:space="preserve">v</ml:id>
            </ml:apply>
          </ml:apply>
        </ml:apply>
      </math>
      <rendering item-idref="17" />
    </region>
    <region region-id="364" left="6" top="1422.75" width="333" height="14.25" align-x="6" align-y="1434" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">wh<f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">ere x is the position of the ray at time 0 and v</inlineAttr></f> is the direction of the ray.</p>
      </text>
    </region>
    <region region-id="432" left="0" top="1446" width="6000" height="6" align-x="0" align-y="1446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="365" left="6" top="1458.75" width="321" height="57" align-x="6" align-y="1470" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">In this example, every ray starts at the eye and passes through a pixel in the frame. If the pixels are numbered in increasing order, traversing the frame from left to right starting at the upper left-hand corner, then the pixel positions are:</p>
      </text>
    </region>
    <region region-id="369" left="36" top="1524.75" width="100.5" height="15.75" align-x="46.5" align-y="1536" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">i</ml:id>
          <ml:range>
            <ml:real>0</ml:real>
            <ml:apply>
              <ml:minus />
              <ml:id xml:space="preserve">numRows</ml:id>
              <ml:real>1</ml:real>
            </ml:apply>
          </ml:range>
        </ml:define>
      </math>
      <rendering item-idref="18" />
    </region>
    <region region-id="370" left="162" top="1524.75" width="96.75" height="15.75" align-x="174" align-y="1536" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">j</ml:id>
          <ml:range>
            <ml:real>0</ml:real>
            <ml:apply>
              <ml:minus />
              <ml:id xml:space="preserve">numCols</ml:id>
              <ml:real>1</ml:real>
            </ml:apply>
          </ml:range>
        </ml:define>
      </math>
      <rendering item-idref="19" />
    </region>
    <region region-id="371" left="36" top="1555.5" width="213" height="98.25" align-x="87" align-y="1608" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:function>
            <ml:id xml:space="preserve">pixel</ml:id>
            <ml:boundVars>
              <ml:id xml:space="preserve">i</ml:id>
              <ml:id xml:space="preserve">j</ml:id>
            </ml:boundVars>
          </ml:function>
          <ml:matrix rows="3" cols="1">
            <ml:apply>
              <ml:indexer />
              <ml:id xml:space="preserve">vR</ml:id>
              <ml:sequence>
                <ml:real>0</ml:real>
                <ml:real>0</ml:real>
              </ml:sequence>
            </ml:apply>
            <ml:apply>
              <ml:plus />
              <ml:apply>
                <ml:indexer />
                <ml:id xml:space="preserve">vR</ml:id>
                <ml:sequence>
                  <ml:real>1</ml:real>
                  <ml:real>0</ml:real>
                </ml:sequence>
              </ml:apply>
              <ml:apply>
                <ml:mult style="default" />
                <ml:id xml:space="preserve">i</ml:id>
                <ml:parens>
                  <ml:apply>
                    <ml:div />
                    <ml:apply>
                      <ml:minus />
                      <ml:apply>
                        <ml:indexer />
                        <ml:id xml:space="preserve">vR</ml:id>
                        <ml:sequence>
                          <ml:real>1</ml:real>
                          <ml:real>1</ml:real>
                        </ml:sequence>
                      </ml:apply>
                      <ml:apply>
                        <ml:indexer />
                        <ml:id xml:space="preserve">vR</ml:id>
                        <ml:sequence>
                          <ml:real>1</ml:real>
                          <ml:real>0</ml:real>
                        </ml:sequence>
                      </ml:apply>
                    </ml:apply>
                    <ml:id xml:space="preserve">numRows</ml:id>
                  </ml:apply>
                </ml:parens>
              </ml:apply>
            </ml:apply>
            <ml:apply>
              <ml:plus />
              <ml:apply>
                <ml:indexer />
                <ml:id xml:space="preserve">vR</ml:id>
                <ml:sequence>
                  <ml:real>2</ml:real>
                  <ml:real>0</ml:real>
                </ml:sequence>
              </ml:apply>
              <ml:apply>
                <ml:mult style="default" />
                <ml:id xml:space="preserve">j</ml:id>
                <ml:parens>
                  <ml:apply>
                    <ml:div />
                    <ml:apply>
                      <ml:minus />
                      <ml:apply>
                        <ml:indexer />
                        <ml:id xml:space="preserve">vR</ml:id>
                        <ml:sequence>
                          <ml:real>2</ml:real>
                          <ml:real>1</ml:real>
                        </ml:sequence>
                      </ml:apply>
                      <ml:apply>
                        <ml:indexer />
                        <ml:id xml:space="preserve">vR</ml:id>
                        <ml:sequence>
                          <ml:real>2</ml:real>
                          <ml:real>0</ml:real>
                        </ml:sequence>
                      </ml:apply>
                    </ml:apply>
                    <ml:id xml:space="preserve">numCols</ml:id>
                  </ml:apply>
                </ml:parens>
              </ml:apply>
            </ml:apply>
          </ml:matrix>
        </ml:define>
      </math>
      <rendering item-idref="20" />
    </region>
    <region region-id="375" left="6" top="1668.75" width="126" height="14.25" align-x="6" align-y="1680" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The corresponding rays are:</p>
      </text>
    </region>
    <region region-id="373" left="36" top="1692.75" width="164.25" height="18" align-x="75" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:apply>
          <ml:equal />
          <ml:apply>
            <ml:id xml:space="preserve" subscript="ij">ray</ml:id>
            <ml:id xml:space="preserve">t</ml:id>
          </ml:apply>
          <ml:apply>
            <ml:plus />
            <ml:id xml:space="preserve">eye</ml:id>
            <ml:apply>
              <ml:mult style="default" />
              <ml:id xml:space="preserve">t</ml:id>
              <ml:parens>
                <ml:apply>
                  <ml:minus />
                  <ml:apply>
                    <ml:id xml:space="preserve">pixel</ml:id>
                    <ml:sequence>
                      <ml:id xml:space="preserve">i</ml:id>
                      <ml:id xml:space="preserve">j</ml:id>
                    </ml:sequence>
                  </ml:apply>
                  <ml:id xml:space="preserve">eye</ml:id>
                </ml:apply>
              </ml:parens>
            </ml:apply>
          </ml:apply>
        </ml:apply>
      </math>
      <rendering item-idref="21" />
    </region>
    <region region-id="376" left="6" top="1722.75" width="325.5" height="28.5" align-x="6" align-y="1734" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">For reasons that will become clear below, rays are represented by stacking the initial position and the velocity vector on top of one another.</p>
      </text>
    </region>
    <region region-id="377" left="36" top="1760.25" width="107.25" height="36.75" align-x="75" align-y="1782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:apply>
          <ml:equal />
          <ml:apply>
            <ml:id xml:space="preserve" subscript="ij">ray</ml:id>
            <ml:id xml:space="preserve">t</ml:id>
          </ml:apply>
          <ml:matrix rows="2" cols="1">
            <ml:id xml:space="preserve">eye</ml:id>
            <ml:apply>
              <ml:id xml:space="preserve">pixel</ml:id>
              <ml:sequence>
                <ml:id xml:space="preserve">i</ml:id>
                <ml:id xml:space="preserve">j</ml:id>
              </ml:sequence>
            </ml:apply>
          </ml:matrix>
        </ml:apply>
      </math>
      <rendering item-idref="22" />
    </region>
    <region region-id="379" left="6" top="1806.75" width="327" height="42.75" align-x="6" align-y="1818" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">After casting out a ray, we need to figure out if and when the ray intersects the objects in the scene, in this case, the sphere. Finding the intersection is a matter of simple algebra. The equation of the sphere is:</p>
      </text>
    </region>
    <region region-id="380" left="36" top="1855.5" width="80.25" height="21" align-x="101.25" align-y="1872" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:apply>
          <ml:equal />
          <ml:apply>
            <ml:plus />
            <ml:apply>
              <ml:plus />
              <ml:apply>
                <ml:pow />
                <ml:id xml:space="preserve">x</ml:id>
                <ml:real>2</ml:real>
              </ml:apply>
              <ml:apply>
                <ml:pow />
                <ml:id xml:space="preserve">y</ml:id>
                <ml:real>2</ml:real>
              </ml:apply>
            </ml:apply>
            <ml:apply>
              <ml:pow />
              <ml:id xml:space="preserve">z</ml:id>
              <ml:real>2</ml:real>
            </ml:apply>
          </ml:apply>
          <ml:real>1</ml:real>
        </ml:apply>
      </math>
      <rendering item-idref="23" />
    </region>
    <region region-id="385" left="6" top="1884.75" width="180.75" height="14.25" align-x="6" align-y="1896" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">or in terms of vectors and dot products:</p>
      </text>
    </region>
    <region region-id="382" left="36" top="1908.75" width="36.75" height="15.75" align-x="57.75" align-y="1920" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:apply>
          <ml:equal />
          <ml:apply>
            <ml:mult style="default" />
            <ml:id xml:space="preserve">v</ml:id>
            <ml:id xml:space="preserve">v</ml:id>
          </ml:apply>
          <ml:real>1</ml:real>
        </ml:apply>
      </math>
      <rendering item-idref="24" />
    </region>
    <region region-id="386" left="6" top="1932.75" width="226.5" height="14.25" align-x="6" align-y="1944" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">To find the intersection of a ray whose equation is </p>
      </text>
    </region>
    <region region-id="384" left="36" top="1956.75" width="74.25" height="15.75" align-x="70.5" align-y="1968" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:apply>
          <ml:equal />
          <ml:apply>
            <ml:id xml:space="preserve">ray</ml:id>
            <ml:id xml:space="preserve">t</ml:id>
          </ml:apply>
          <ml:apply>
            <ml:plus />
            <ml:id xml:space="preserve">x</ml:id>
            <ml:apply>
              <ml:mult style="default" />
              <ml:id xml:space="preserve">t</ml:id>
              <ml:id xml:space="preserve">v</ml:id>
            </ml:apply>
          </ml:apply>
        </ml:apply>
      </math>
      <rendering item-idref="25" />
    </region>
    <region region-id="398" left="6" top="1980.75" width="311.25" height="28.5" align-x="6" align-y="1992" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">substitute the equation for the ray into the equation for the sphere and solve the resulting quadratic equation for <f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">t: </inlineAttr></f></p>
      </text>
    </region>
    <region region-id="399" left="36" top="2017.5" width="166.5" height="21" align-x="187.5" align-y="2034" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:apply>
          <ml:equal />
          <ml:apply>
            <ml:minus />
            <ml:apply>
              <ml:plus />
              <ml:apply>
                <ml:plus />
                <ml:apply>
                  <ml:mult style="default" />
                  <ml:parens>
                    <ml:apply>
                      <ml:mult style="default" />
                      <ml:id xml:space="preserve">v</ml:id>
                      <ml:id xml:space="preserve">v</ml:id>
                    </ml:apply>
                  </ml:parens>
                  <ml:apply>
                    <ml:pow />
                    <ml:id xml:space="preserve">t</ml:id>
                    <ml:real>2</ml:real>
                  </ml:apply>
                </ml:apply>
                <ml:apply>
                  <ml:mult style="default" />
                  <ml:apply>
                    <ml:mult style="default" />
                    <ml:real>2</ml:real>
                    <ml:parens>
                      <ml:apply>
                        <ml:mult style="default" />
                        <ml:id xml:space="preserve">x</ml:id>
                        <ml:id xml:space="preserve">v</ml:id>
                      </ml:apply>
                    </ml:parens>
                  </ml:apply>
                  <ml:id xml:space="preserve">t</ml:id>
                </ml:apply>
              </ml:apply>
              <ml:parens>
                <ml:apply>
                  <ml:mult style="default" />
                  <ml:id xml:space="preserve">x</ml:id>
                  <ml:id xml:space="preserve">x</ml:id>
                </ml:apply>
              </ml:parens>
            </ml:apply>
            <ml:real>1</ml:real>
          </ml:apply>
          <ml:real>0</ml:real>
        </ml:apply>
      </math>
      <rendering item-idref="26" />
    </region>
    <region region-id="433" left="0" top="2046" width="6000" height="6" align-x="0" align-y="2046" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="400" left="6" top="2058.75" width="330.75" height="142.5" align-x="6" align-y="2070" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">There are two subtleties to this result. First, a quadratic equation may not have a solution! In this case, it simply means that the ray may not intersect the sphere, signified by setting the time of intersection to be<b><sp /></b><inlineAttr font-weight="normal" line-through="false">t = </inlineAttr><f family="Symbol" charset="2"><inlineAttr font-weight="normal" line-through="false">¥</inlineAttr></f><inlineAttr font-weight="normal" line-through="false">. Sec</inlineAttr>ond, there are usually two solutions to a quadratic equation, and only one of them is the physical one. To resolve this, recall that the eye only sees reflections from the first intersection of the light ray with the sphere. Therefore, the correct solution is the smaller of the two intersection times. The following functions implement these ideas to find the time of intersection of a ray with the unit sphere and the point at which the intersection occurs:</p>
      </text>
    </region>
    <region region-id="392" left="36" top="2209.5" width="189" height="21" align-x="95.25" align-y="2226" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:function>
            <ml:id xml:space="preserve">Sdisc</ml:id>
            <ml:boundVars>
              <ml:id xml:space="preserve">x</ml:id>
              <ml:id xml:space="preserve">v</ml:id>
            </ml:boundVars>
          </ml:function>
          <ml:apply>
            <ml:minus />
            <ml:apply>
              <ml:pow />
              <ml:parens>
                <ml:apply>
                  <ml:mult style="default" />
                  <ml:id xml:space="preserve">x</ml:id>
                  <ml:id xml:space="preserve">v</ml:id>
                </ml:apply>
              </ml:parens>
              <ml:real>2</ml:real>
            </ml:apply>
            <ml:apply>
              <ml:mult style="default" />
              <ml:parens>
                <ml:apply>
                  <ml:mult style="default" />
                  <ml:id xml:space="preserve">v</ml:id>
                  <ml:id xml:space="preserve">v</ml:id>
                </ml:apply>
              </ml:parens>
              <ml:parens>
                <ml:apply>
                  <ml:minus />
                  <ml:parens>
                    <ml:apply>
                      <ml:mult style="default" />
                      <ml:id xml:space="preserve">x</ml:id>
                      <ml:id xml:space="preserve">x</ml:id>
                    </ml:apply>
                  </ml:parens>
                  <ml:real>1</ml:real>
                </ml:apply>
              </ml:parens>
            </ml:apply>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="27" />
    </region>
    <region region-id="393" left="36" top="2246.25" width="288" height="36" align-x="96" align-y="2268" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:function>
            <ml:id xml:space="preserve">Stime</ml:id>
            <ml:boundVars>
              <ml:id xml:space="preserve">x</ml:id>
              <ml:id xml:space="preserve">v</ml:id>
            </ml:boundVars>
          </ml:function>
          <ml:apply>
            <ml:id xml:space="preserve">if</ml:id>
            <ml:sequence>
              <ml:apply>
                <ml:lessThan />
                <ml:apply>
                  <ml:id xml:space="preserve">Sdisc</ml:id>
                  <ml:sequence>
                    <ml:id xml:space="preserve">x</ml:id>
                    <ml:id xml:space="preserve">v</ml:id>
                  </ml:sequence>
                </ml:apply>
                <ml:real>0</ml:real>
              </ml:apply>
              <ml:id xml:space="preserve">∞</ml:id>
              <ml:apply>
                <ml:div />
                <ml:apply>
                  <ml:minus />
                  <ml:apply>
                    <ml:neg />
                    <ml:parens>
                      <ml:apply>
                        <ml:mult style="default" />
                        <ml:id xml:space="preserve">x</ml:id>
                        <ml:id xml:space="preserve">v</ml:id>
                      </ml:apply>
                    </ml:parens>
                  </ml:apply>
                  <ml:apply>
                    <ml:sqrt />
                    <ml:apply>
                      <ml:id xml:space="preserve">Sdisc</ml:id>
                      <ml:sequence>
                        <ml:id xml:space="preserve">x</ml:id>
                        <ml:id xml:space="preserve">v</ml:id>
                      </ml:sequence>
                    </ml:apply>
                  </ml:apply>
                </ml:apply>
                <ml:apply>
                  <ml:mult style="default" />
                  <ml:id xml:space="preserve">v</ml:id>
                  <ml:id xml:space="preserve">v</ml:id>
                </ml:apply>
              </ml:apply>
            </ml:sequence>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="28" />
    </region>
    <region region-id="394" left="36" top="2292" width="270" height="125.25" align-x="96.75" align-y="2358" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:function>
            <ml:id xml:space="preserve">Sint</ml:id>
            <ml:boundVars>
              <ml:id xml:space="preserve">x</ml:id>
              <ml:id xml:space="preserve">v</ml:id>
              <ml:id xml:space="preserve">t</ml:id>
            </ml:boundVars>
          </ml:function>
          <ml:apply>
            <ml:plus />
            <ml:apply>
              <ml:mult style="default" />
              <ml:parens>
                <ml:apply>
                  <ml:equal />
                  <ml:id xml:space="preserve">t</ml:id>
                  <ml:id xml:space="preserve">∞</ml:id>
                </ml:apply>
              </ml:parens>
              <ml:matrix rows="6" cols="1">
                <ml:id xml:space="preserve">∞</ml:id>
                <ml:id xml:space="preserve">∞</ml:id>
                <ml:id xml:space="preserve">∞</ml:id>
                <ml:id xml:space="preserve">∞</ml:id>
                <ml:id xml:space="preserve">∞</ml:id>
                <ml:id xml:space="preserve">∞</ml:id>
              </ml:matrix>
            </ml:apply>
            <ml:apply>
              <ml:mult style="default" />
              <ml:parens>
                <ml:apply>
                  <ml:notEqual />
                  <ml:id xml:space="preserve">t</ml:id>
                  <ml:id xml:space="preserve">∞</ml:id>
                </ml:apply>
              </ml:parens>
              <ml:apply>
                <ml:id xml:space="preserve">stack</ml:id>
                <ml:sequence>
                  <ml:apply>
                    <ml:plus />
                    <ml:id xml:space="preserve">x</ml:id>
                    <ml:apply>
                      <ml:mult style="default" />
                      <ml:id xml:space="preserve">t</ml:id>
                      <ml:id xml:space="preserve">v</ml:id>
                    </ml:apply>
                  </ml:apply>
                  <ml:id xml:space="preserve">v</ml:id>
                </ml:sequence>
              </ml:apply>
            </ml:apply>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="29" />
    </region>
    <region region-id="401" left="6" top="2424.75" width="312" height="42.75" align-x="6" align-y="2436" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Here's a test run of the ray tracing in which a pixel is set to white if it sees the sphere and to black if it doesn't see the sphere. The function that colors the pixel according to this rule is given by:</p>
      </text>
    </region>
    <region region-id="405" left="36" top="2478" width="195" height="16.5" align-x="99" align-y="2490" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:function>
            <ml:id xml:space="preserve">testColor</ml:id>
            <ml:boundVars>
              <ml:id xml:space="preserve">t</ml:id>
            </ml:boundVars>
          </ml:function>
          <ml:apply>
            <ml:plus />
            <ml:apply>
              <ml:mult style="default" />
              <ml:parens>
                <ml:apply>
                  <ml:equal />
                  <ml:id xml:space="preserve">t</ml:id>
                  <ml:id xml:space="preserve">∞</ml:id>
                </ml:apply>
              </ml:parens>
              <ml:real>0</ml:real>
            </ml:apply>
            <ml:apply>
              <ml:mult style="default" />
              <ml:parens>
                <ml:apply>
                  <ml:notEqual />
                  <ml:id xml:space="preserve">t</ml:id>
                  <ml:id xml:space="preserve">∞</ml:id>
                </ml:apply>
              </ml:parens>
              <ml:real>255</ml:real>
            </ml:apply>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="30" />
    </region>
    <region region-id="406" left="36" top="2502.75" width="229.5" height="17.25" align-x="75" align-y="2514" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:apply>
            <ml:indexer />
            <ml:id xml:space="preserve">Test</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">i</ml:id>
              <ml:id xml:space="preserve">j</ml:id>
            </ml:sequence>
          </ml:apply>
          <ml:apply>
            <ml:id xml:space="preserve">testColor</ml:id>
            <ml:apply>
              <ml:id xml:space="preserve">Stime</ml:id>
              <ml:sequence>
                <ml:id xml:space="preserve">eye</ml:id>
                <ml:apply>
                  <ml:minus />
                  <ml:apply>
                    <ml:id xml:space="preserve">pixel</ml:id>
                    <ml:sequence>
                      <ml:id xml:space="preserve">i</ml:id>
                      <ml:id xml:space="preserve">j</ml:id>
                    </ml:sequence>
                  </ml:apply>
                  <ml:id xml:space="preserve">eye</ml:id>
                </ml:apply>
              </ml:sequence>
            </ml:apply>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="31" />
    </region>
    <region region-id="628" left="48" top="2532" width="49.5" height="78" align-x="72" align-y="2532" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <component hide-arguments="false" clsid-buddy="8442da2d-08d7-45ad-a4a6-f28bee6ae06a" item-idref="32" disable-calc="false">
        <inputs>
          <ml:id xml:space="preserve">Test</ml:id>
        </inputs>
        <outputs />
      </component>
      <rendering item-idref="33" />
    </region>
    <region region-id="605" left="6" top="2622.75" width="314.25" height="28.5" align-x="6" align-y="2634" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">As you see, there is a circle in the middle of the view which is painted white corresponding to the eye's view of the sphere.</p>
      </text>
    </region>
    <region region-id="523" left="0" top="2658" width="6000" height="6" align-x="0" align-y="2658" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="548" left="6" top="2664.75" width="306" height="42.75" align-x="6" align-y="2676" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Ray tracing really comes alive after introducing a shading or coloring model for the scene. In this example, all light comes from a single point source with position and intensity:</p>
      </text>
    </region>
    <region region-id="549" left="36" top="2715.75" width="71.25" height="57.75" align-x="74.25" align-y="2748" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve">source</ml:id>
          <ml:matrix rows="3" cols="1">
            <ml:real>7</ml:real>
            <ml:real>3</ml:real>
            <ml:real>2</ml:real>
          </ml:matrix>
        </ml:define>
      </math>
      <rendering item-idref="34" />
    </region>
    <region region-id="550" left="126" top="2736.75" width="138" height="14.25" align-x="126" align-y="2748" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The position of the light source</p>
      </text>
    </region>
    <region region-id="551" left="36" top="2784.75" width="45.75" height="18" align-x="59.25" align-y="2796" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve" subscript="s">int</ml:id>
          <ml:real>50</ml:real>
        </ml:define>
      </math>
      <rendering item-idref="35" />
    </region>
    <region region-id="552" left="126" top="2784.75" width="164.25" height="14.25" align-x="126" align-y="2796" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="false">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The intensity of the point light source</p>
      </text>
    </region>
    <region region-id="553" left="6" top="2814.75" width="352.5" height="42.75" align-x="6" align-y="2826" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">This model also allows for the existence of ambient omnidirectional light. The ambient light helps to prevent shadows in a rendered image from becoming too drastic.</p>
      </text>
    </region>
    <region region-id="554" left="36" top="2868.75" width="57.75" height="18" align-x="71.25" align-y="2880" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve" subscript="amb">int</ml:id>
          <ml:real>10</ml:real>
        </ml:define>
      </math>
      <rendering item-idref="36" />
    </region>
    <region region-id="555" left="126" top="2868.75" width="125.25" height="14.25" align-x="126" align-y="2880" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Intensity of the ambient light</p>
      </text>
    </region>
    <region region-id="556" left="6" top="2892.75" width="336.75" height="71.25" align-x="6" align-y="2904" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The question remains as to how the reflected light intensity is to be computed (previously, it was assumed that 100% of the light was reflected). This model actually allows for three different types of reflection, each of which contributes to the total intensity of light seen by the eye. The following utility functions help to define reflection:</p>
      </text>
    </region>
    <region region-id="557" left="36" top="2974.5" width="105" height="18" align-x="101.25" align-y="2988" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:function>
            <ml:id xml:space="preserve">vecnorm</ml:id>
            <ml:boundVars>
              <ml:id xml:space="preserve">w</ml:id>
            </ml:boundVars>
          </ml:function>
          <ml:apply>
            <ml:sqrt />
            <ml:apply>
              <ml:mult style="default" />
              <ml:id xml:space="preserve">w</ml:id>
              <ml:id xml:space="preserve">w</ml:id>
            </ml:apply>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="37" />
    </region>
    <region region-id="558" left="168" top="2976.75" width="144" height="14.25" align-x="168" align-y="2988" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Computes the length of a vector</p>
      </text>
    </region>
    <region region-id="559" left="36" top="3006.75" width="225.75" height="15.75" align-x="93" align-y="3018" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:function>
            <ml:id xml:space="preserve">Slight</ml:id>
            <ml:boundVars>
              <ml:id xml:space="preserve">ray</ml:id>
            </ml:boundVars>
          </ml:function>
          <ml:apply>
            <ml:minus />
            <ml:id xml:space="preserve">source</ml:id>
            <ml:apply>
              <ml:id xml:space="preserve">submatrix</ml:id>
              <ml:sequence>
                <ml:id xml:space="preserve">ray</ml:id>
                <ml:real>0</ml:real>
                <ml:real>2</ml:real>
                <ml:real>0</ml:real>
                <ml:real>0</ml:real>
              </ml:sequence>
            </ml:apply>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="38" />
    </region>
    <region region-id="635" left="168" top="3030.75" width="201.75" height="28.5" align-x="168" align-y="3042" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Computes the vector pointing from the initial position of<b><sp /></b><f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false">ray </inlineAttr></f>to the light source.</p>
      </text>
    </region>
    <region region-id="606" left="6" top="3072.75" width="336" height="42.75" align-x="6" align-y="3084" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">In the above and in what follows, the vector<b><sp /></b><f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">ray</inlineAttr></b></f><f family="Times New Roman" charset="0"><inlineAttr font-weight="normal" line-through="false"> is </inlineAttr></f>the output vector from a call to the function <b>Sint</b>. This means that <f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">ray</inlineAttr></b></f> is the result of stacking the initial position and direction of a light ray on top of one another.</p>
      </text>
      <indexes>
        <phrase>Sint function</phrase>
      </indexes>
    </region>
    <region region-id="562" left="0" top="3126" width="6000" height="6" align-x="0" align-y="3126" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="563" left="6" top="3138.75" width="334.5" height="99.75" align-x="6" align-y="3150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The first kind of reflection in our model is the ambient reflection. The percentage of ambient light which bounces off of an object depends on the characteristics of the material from which the object is made, and is quantified by an "ambient reflection coefficient." This tells us how shiny the object is with respect to ambient light. The intensity of reflected ambient light is then ambient reflection coefficient times the ambient light source intensity:</p>
      </text>
    </region>
    <region region-id="564" left="36" top="3246.75" width="54.75" height="18" align-x="68.25" align-y="3258" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve" subscript="amb">R</ml:id>
          <ml:real>10</ml:real>
        </ml:define>
      </math>
      <rendering item-idref="39" />
    </region>
    <region region-id="565" left="36" top="3276.75" width="132" height="18" align-x="102.75" align-y="3288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:function>
            <ml:id xml:space="preserve" subscript="a">Scolor</ml:id>
            <ml:boundVars>
              <ml:id xml:space="preserve">ray</ml:id>
            </ml:boundVars>
          </ml:function>
          <ml:apply>
            <ml:mult style="default" />
            <ml:id xml:space="preserve" subscript="amb">R</ml:id>
            <ml:id xml:space="preserve" subscript="amb">int</ml:id>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="40" />
    </region>
    <region region-id="566" left="6" top="3306.75" width="339" height="171" align-x="6" align-y="3318" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The next type of light reflection has to do with the reflection of light from a point source. This type of reflection is "diffuse" or "scattering" reflection. In this type of reflection, light interacts with the material out of which the object is made and is emitted from the object in all directions. As with ambient reflections, the intensity of light emitted depends on the intensity of the point source as well as a "diffuse reflection coefficient." But, for diffuse reflection, the intensity of emitted light also depends on the relative orientation of the light source and the object. This dependence is known as <f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">Lambert's Law</inlineAttr></b></f>, which states that the reflected intensity is proportional to the angle between the point light source and the perpendicular vector to the object at the point of reflection. The total equation for diffuse scattering is then:</p>
      </text>
      <indexes>
        <phrase>Lambert's Law</phrase>
      </indexes>
    </region>
    <region region-id="567" left="36" top="3492.75" width="52.5" height="18" align-x="66" align-y="3504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve" subscript="diff">R</ml:id>
          <ml:real>50</ml:real>
        </ml:define>
      </math>
      <rendering item-idref="41" />
    </region>
    <region region-id="568" left="120" top="3492.75" width="124.5" height="14.25" align-x="120" align-y="3504" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Diffuse reflection coefficient</p>
      </text>
    </region>
    <region region-id="569" left="6" top="3520.5" width="404.25" height="33.75" align-x="73.5" align-y="3540" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:function>
            <ml:id xml:space="preserve" subscript="d">Scolor</ml:id>
            <ml:boundVars>
              <ml:id xml:space="preserve">ray</ml:id>
            </ml:boundVars>
          </ml:function>
          <ml:apply>
            <ml:mult style="default" />
            <ml:apply>
              <ml:mult style="default" />
              <ml:id xml:space="preserve" subscript="s">int</ml:id>
              <ml:id xml:space="preserve" subscript="diff">R</ml:id>
            </ml:apply>
            <ml:parens>
              <ml:apply>
                <ml:div />
                <ml:apply>
                  <ml:mult style="default" />
                  <ml:apply>
                    <ml:id xml:space="preserve">Slight</ml:id>
                    <ml:id xml:space="preserve">ray</ml:id>
                  </ml:apply>
                  <ml:apply>
                    <ml:id xml:space="preserve">submatrix</ml:id>
                    <ml:sequence>
                      <ml:id xml:space="preserve">ray</ml:id>
                      <ml:real>0</ml:real>
                      <ml:real>2</ml:real>
                      <ml:real>0</ml:real>
                      <ml:real>0</ml:real>
                    </ml:sequence>
                  </ml:apply>
                </ml:apply>
                <ml:apply>
                  <ml:mult style="default" />
                  <ml:apply>
                    <ml:id xml:space="preserve">vecnorm</ml:id>
                    <ml:apply>
                      <ml:id xml:space="preserve">Slight</ml:id>
                      <ml:id xml:space="preserve">ray</ml:id>
                    </ml:apply>
                  </ml:apply>
                  <ml:apply>
                    <ml:id xml:space="preserve">vecnorm</ml:id>
                    <ml:apply>
                      <ml:id xml:space="preserve">submatrix</ml:id>
                      <ml:sequence>
                        <ml:id xml:space="preserve">ray</ml:id>
                        <ml:real>0</ml:real>
                        <ml:real>2</ml:real>
                        <ml:real>0</ml:real>
                        <ml:real>0</ml:real>
                      </ml:sequence>
                    </ml:apply>
                  </ml:apply>
                </ml:apply>
              </ml:apply>
            </ml:parens>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="42" />
    </region>
    <region region-id="570" left="6" top="3564.75" width="324.75" height="57" align-x="6" align-y="3576" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The last kind of reflection is specular reflection. Specular reflection is the highly directional reflection that is described by <f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">Snell's Law</inlineAttr></b></f>: angle of reflection equals angle of incidence. The direction vector of specularly reflected light can be found by</p>
      </text>
      <indexes>
        <phrase>Snell's Law</phrase>
      </indexes>
    </region>
    <region region-id="571" left="6" top="3634.5" width="509.25" height="39" align-x="72.75" align-y="3654" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:function>
            <ml:id xml:space="preserve">Sreflect</ml:id>
            <ml:boundVars>
              <ml:id xml:space="preserve">ray</ml:id>
            </ml:boundVars>
          </ml:function>
          <ml:apply>
            <ml:plus />
            <ml:apply>
              <ml:neg />
              <ml:apply>
                <ml:id xml:space="preserve">Slight</ml:id>
                <ml:id xml:space="preserve">ray</ml:id>
              </ml:apply>
            </ml:apply>
            <ml:apply>
              <ml:mult style="default" />
              <ml:apply>
                <ml:mult style="default" />
                <ml:real>2</ml:real>
                <ml:parens>
                  <ml:apply>
                    <ml:mult style="default" />
                    <ml:apply>
                      <ml:id xml:space="preserve">Slight</ml:id>
                      <ml:id xml:space="preserve">ray</ml:id>
                    </ml:apply>
                    <ml:apply>
                      <ml:id xml:space="preserve">submatrix</ml:id>
                      <ml:sequence>
                        <ml:id xml:space="preserve">ray</ml:id>
                        <ml:real>0</ml:real>
                        <ml:real>2</ml:real>
                        <ml:real>0</ml:real>
                        <ml:real>0</ml:real>
                      </ml:sequence>
                    </ml:apply>
                  </ml:apply>
                </ml:parens>
              </ml:apply>
              <ml:apply>
                <ml:div />
                <ml:apply>
                  <ml:id xml:space="preserve">submatrix</ml:id>
                  <ml:sequence>
                    <ml:id xml:space="preserve">ray</ml:id>
                    <ml:real>0</ml:real>
                    <ml:real>2</ml:real>
                    <ml:real>0</ml:real>
                    <ml:real>0</ml:real>
                  </ml:sequence>
                </ml:apply>
                <ml:apply>
                  <ml:pow />
                  <ml:apply>
                    <ml:id xml:space="preserve">vecnorm</ml:id>
                    <ml:apply>
                      <ml:id xml:space="preserve">submatrix</ml:id>
                      <ml:sequence>
                        <ml:id xml:space="preserve">ray</ml:id>
                        <ml:real>0</ml:real>
                        <ml:real>2</ml:real>
                        <ml:real>0</ml:real>
                        <ml:real>0</ml:real>
                      </ml:sequence>
                    </ml:apply>
                  </ml:apply>
                  <ml:real>2</ml:real>
                </ml:apply>
              </ml:apply>
            </ml:apply>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="43" />
    </region>
    <region region-id="572" left="0" top="3684" width="6000" height="6" align-x="0" align-y="3684" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="583" left="6" top="3696.75" width="342.75" height="99.75" align-x="6" align-y="3708" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Additionally, in computing the intensity of specularly reflected light, the vector of reflected light doesn't necessarily point in the direction of the eye. Only a component of the vector of reflected light actually reaches the eye. A little vector algebra can be used to grab the component of the vector of reflected light which is in the direction of the eye. Multiplying this component by the source intensity and a "specular reflection coefficient" gives the intensity of reflected light at the eye:</p>
      </text>
    </region>
    <region region-id="584" left="36" top="3804.75" width="57" height="18" align-x="70.5" align-y="3816" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:id xml:space="preserve" subscript="spec">R</ml:id>
          <ml:real>20</ml:real>
        </ml:define>
      </math>
      <rendering item-idref="44" />
    </region>
    <region region-id="585" left="114" top="3804.75" width="194.25" height="14.25" align-x="114" align-y="3816" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Specular reflection coefficient of the sphere</p>
      </text>
    </region>
    <region region-id="586" left="6" top="3832.5" width="414.75" height="33.75" align-x="72.75" align-y="3852" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:function>
            <ml:id xml:space="preserve" subscript="s">Scolor</ml:id>
            <ml:boundVars>
              <ml:id xml:space="preserve">ray</ml:id>
            </ml:boundVars>
          </ml:function>
          <ml:apply>
            <ml:mult style="default" />
            <ml:apply>
              <ml:mult style="default" />
              <ml:id xml:space="preserve" subscript="s">int</ml:id>
              <ml:id xml:space="preserve" subscript="spec">R</ml:id>
            </ml:apply>
            <ml:parens>
              <ml:apply>
                <ml:div />
                <ml:apply>
                  <ml:neg />
                  <ml:parens>
                    <ml:apply>
                      <ml:mult style="default" />
                      <ml:apply>
                        <ml:id xml:space="preserve">Sreflect</ml:id>
                        <ml:id xml:space="preserve">ray</ml:id>
                      </ml:apply>
                      <ml:apply>
                        <ml:id xml:space="preserve">submatrix</ml:id>
                        <ml:sequence>
                          <ml:id xml:space="preserve">ray</ml:id>
                          <ml:real>3</ml:real>
                          <ml:real>5</ml:real>
                          <ml:real>0</ml:real>
                          <ml:real>0</ml:real>
                        </ml:sequence>
                      </ml:apply>
                    </ml:apply>
                  </ml:parens>
                </ml:apply>
                <ml:apply>
                  <ml:mult style="default" />
                  <ml:apply>
                    <ml:id xml:space="preserve">vecnorm</ml:id>
                    <ml:apply>
                      <ml:id xml:space="preserve">Sreflect</ml:id>
                      <ml:id xml:space="preserve">ray</ml:id>
                    </ml:apply>
                  </ml:apply>
                  <ml:apply>
                    <ml:id xml:space="preserve">vecnorm</ml:id>
                    <ml:apply>
                      <ml:id xml:space="preserve">submatrix</ml:id>
                      <ml:sequence>
                        <ml:id xml:space="preserve">ray</ml:id>
                        <ml:real>3</ml:real>
                        <ml:real>5</ml:real>
                        <ml:real>0</ml:real>
                        <ml:real>0</ml:real>
                      </ml:sequence>
                    </ml:apply>
                  </ml:apply>
                </ml:apply>
              </ml:apply>
            </ml:parens>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="45" />
    </region>
    <region region-id="587" left="6" top="3876.75" width="332.25" height="71.25" align-x="6" align-y="3888" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The overall intensity can now be computed. The first step is a test to determine whether a given light ray intersects the sphere. If it does not, intensity 0 is assigned to the associated pixel. If it does, the ambient, diffuse and specular reflection intensities are computed and summed at the point of intersection.</p>
      </text>
    </region>
    <region region-id="626" left="36" top="3966" width="339.75" height="41.25" align-x="91.5" align-y="3978" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:function>
            <ml:id xml:space="preserve">color</ml:id>
            <ml:boundVars>
              <ml:id xml:space="preserve">ray</ml:id>
            </ml:boundVars>
          </ml:function>
          <ml:program>
            <ml:ifThen>
              <ml:apply>
                <ml:equal />
                <ml:apply>
                  <ml:indexer />
                  <ml:id xml:space="preserve">ray</ml:id>
                  <ml:real>0</ml:real>
                </ml:apply>
                <ml:id xml:space="preserve">∞</ml:id>
              </ml:apply>
              <ml:real>0</ml:real>
            </ml:ifThen>
            <ml:otherwise>
              <ml:apply>
                <ml:plus />
                <ml:apply>
                  <ml:plus />
                  <ml:apply>
                    <ml:id xml:space="preserve" subscript="a">Scolor</ml:id>
                    <ml:id xml:space="preserve">ray</ml:id>
                  </ml:apply>
                  <ml:apply>
                    <ml:id xml:space="preserve" subscript="d">Scolor</ml:id>
                    <ml:id xml:space="preserve">ray</ml:id>
                  </ml:apply>
                </ml:apply>
                <ml:apply>
                  <ml:id xml:space="preserve" subscript="s">Scolor</ml:id>
                  <ml:id xml:space="preserve">ray</ml:id>
                </ml:apply>
              </ml:apply>
            </ml:otherwise>
          </ml:program>
        </ml:define>
      </math>
      <rendering item-idref="46" />
    </region>
    <region region-id="600" left="6" top="4026.75" width="299.25" height="14.25" align-x="6" align-y="4038" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">With this enhanced color model, the final sphere will be ray traced:</p>
      </text>
    </region>
    <region region-id="590" left="36" top="4050.75" width="100.5" height="15.75" align-x="46.5" align-y="4062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define warning="WarnRedefinedUDScalar">
          <ml:id xml:space="preserve">i</ml:id>
          <ml:range>
            <ml:real>0</ml:real>
            <ml:apply>
              <ml:minus />
              <ml:id xml:space="preserve">numRows</ml:id>
              <ml:real>1</ml:real>
            </ml:apply>
          </ml:range>
        </ml:define>
      </math>
      <rendering item-idref="47" />
    </region>
    <region region-id="591" left="162" top="4050.75" width="96.75" height="15.75" align-x="174" align-y="4062" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define warning="WarnRedefinedUDScalar">
          <ml:id xml:space="preserve">j</ml:id>
          <ml:range>
            <ml:real>0</ml:real>
            <ml:apply>
              <ml:minus />
              <ml:id xml:space="preserve">numCols</ml:id>
              <ml:real>1</ml:real>
            </ml:apply>
          </ml:range>
        </ml:define>
      </math>
      <rendering item-idref="48" />
    </region>
    <region region-id="592" left="36" top="4074.75" width="327.75" height="17.25" align-x="66" align-y="4086" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <math optimize="false" disable-calc="false">
        <ml:define>
          <ml:apply>
            <ml:indexer />
            <ml:id xml:space="preserve">M</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">i</ml:id>
              <ml:id xml:space="preserve">j</ml:id>
            </ml:sequence>
          </ml:apply>
          <ml:apply>
            <ml:id xml:space="preserve">color</ml:id>
            <ml:apply>
              <ml:id xml:space="preserve">Sint</ml:id>
              <ml:sequence>
                <ml:id xml:space="preserve">eye</ml:id>
                <ml:apply>
                  <ml:minus />
                  <ml:apply>
                    <ml:id xml:space="preserve">pixel</ml:id>
                    <ml:sequence>
                      <ml:id xml:space="preserve">i</ml:id>
                      <ml:id xml:space="preserve">j</ml:id>
                    </ml:sequence>
                  </ml:apply>
                  <ml:id xml:space="preserve">eye</ml:id>
                </ml:apply>
                <ml:apply>
                  <ml:id xml:space="preserve">Stime</ml:id>
                  <ml:sequence>
                    <ml:id xml:space="preserve">eye</ml:id>
                    <ml:apply>
                      <ml:minus />
                      <ml:apply>
                        <ml:id xml:space="preserve">pixel</ml:id>
                        <ml:sequence>
                          <ml:id xml:space="preserve">i</ml:id>
                          <ml:id xml:space="preserve">j</ml:id>
                        </ml:sequence>
                      </ml:apply>
                      <ml:id xml:space="preserve">eye</ml:id>
                    </ml:apply>
                  </ml:sequence>
                </ml:apply>
              </ml:sequence>
            </ml:apply>
          </ml:apply>
        </ml:define>
      </math>
      <rendering item-idref="49" />
    </region>
    <region region-id="630" left="36" top="4104" width="79.5" height="78" align-x="60" align-y="4104" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <component hide-arguments="false" clsid-buddy="8442da2d-08d7-45ad-a4a6-f28bee6ae06a" item-idref="50" disable-calc="false">
        <inputs>
          <ml:apply>
            <ml:id xml:space="preserve">scale</ml:id>
            <ml:sequence>
              <ml:id xml:space="preserve">M</ml:id>
              <ml:real>0</ml:real>
              <ml:real>255</ml:real>
            </ml:sequence>
          </ml:apply>
        </inputs>
        <outputs />
      </component>
      <rendering item-idref="51" />
    </region>
    <region region-id="608" left="0" top="4200" width="6000" height="6" align-x="0" align-y="4200" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
    </region>
    <region region-id="598" left="6" top="4212.75" width="321.75" height="114" align-x="6" align-y="4224" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <text use-page-width="false" push-down="false" lock-width="true">
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">To get a feel for the shading model, you can go through this example using different values for the light source intensities (point source and ambient) and the various reflection coefficients. You can also move the position of the eye and frame to get a different view of the sphere (although due to symmetry of the sphere you won't see many changes). Projects for the more adventurous are to ray trace other geometric solids. The key difference for each solid is the formula for the intersection of a ray with the solid. </p>
      </text>
    </region>
    <region region-id="609" left="6" top="4338" width="436.5" height="5.25" align-x="6" align-y="4338" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <png item-idref="52" display-width="435" display-height="3.75" />
      <rendering item-idref="53" />
    </region>
  </regions>
  <binaryContent>
    <item item-id="1">iVBORw0KGgoAAAANSUhEUgAAAEgAAAA4CAMAAABpEU60AAAAAXNSR0IArs4c6QAAAARnQU1B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=</item>
    <item item-id="2">iVBORw0KGgoAAAANSUhEUgAAAEoAAAA6CAYAAAAX8s+wAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="3">iVBORw0KGgoAAAANSUhEUgAAAckAAAAFCAMAAAAZvOc4AAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="4">iVBORw0KGgoAAAANSUhEUgAAAcsAAAAHCAYAAABnX2Y8AAAAAXNSR0IArs4c6QAAAARnQU1B
AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA
AJJJREFUaEPt2DEOgCAMBdB6c2+uInFwQAaxg7wmLiYMvvy2hmU7KhQBAgQIECDQFijLUhEg
QIAAAQJtgYBDgAABAgQIPAucy3KNuD3XEe+rBAcOJQP6os6J0Q56bLzpbDMrI0OW5QfNP1tQ
fa+fiTdLNGPQyei/M5qRIdew7h4IECBAgEBHwLIUEQIECBAg0BHYAZIO+jK+rjNuAAAAAElF
TkSuQmCC</item>
    <item item-id="5">iVBORw0KGgoAAAANSUhEUgAAAQAAAAEACAMAAABrrFhUAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="6">iVBORw0KGgoAAAANSUhEUgAAAL8AAAC/CAYAAACv6g0GAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="7" content-encoding="gzip">H4sIAAAAAAAA/+yby3MURRzHf5uEEALyElFRMb7fmoDy8LmEh6BCYnzim4QtCUUIhsXSW06e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</item>
    <item item-id="8">iVBORw0KGgoAAAANSUhEUgAAAQcAAAC4CAYAAADuQCmzAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="9" content-encoding="gzip">H4sIAAAAAAAA/+ydyXMbRRTGn2THcRaymBDAQBBrgLDIBgcMBBw7CTaQ2PgGXIiNijjlJTgK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</item>
    <item item-id="10">iVBORw0KGgoAAAANSUhEUgAAAPsAAACZCAYAAADpTkz3AAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="11">iVBORw0KGgoAAAANSUhEUgAAAGsAAAAcCAYAAABmmEF1AAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="12">iVBORw0KGgoAAAANSUhEUgAAAF8AAABpCAYAAABcb/9FAAAAAXNSR0IArs4c6QAAAARnQU1B
AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA
BJRJREFUeF7tnU9uMjEMxfsdkHtwCI7ACbgLa7ZsWbJk1xtM+yoFmTR/bMcZ+MqLVBVp7JeZ
nx0nmUHMv+W7fbA9hwDgs9UJ3G635XA4LJfLxYQJ9vCDf619mBTfzPh8Pi/b7bYJsIUE4He7
3QKdUiP8Cj0A22w2IemGAJYCQPgFvJ+fn0MZn0tiBCCQeQki/AL8/X6/nE6nbtZ/z9JYrHTt
YHA8HhfoyqbzVMn/DaPr9fqT9b0moWsDAF3op0b4GWWsUHpZX4KtCQB0oU/4ldTWQPTCR5cP
I6Y3vN7pONbmeV0uLhELdV4TNGhBP+0ZWHYEXUyK+Ou1kcyXfRC+IC2zshWAEfiYcNPoInxB
GbvR1u2A+0Q5UHbSrven/veG2Dsd19btkcyXky7hi+zSwv+1alFutPKRQ/hO+CkAloARfqOO
ekB6ynLqh5k/kPke8Kz5A7tbL3Dpx8wvUGTZiUgtpwbhO8FFuBF+BEWnBuE7wUW4EX4ERacG
4TvBRbgRfgRFpwbhO8FFuBF+BEWnBuE7wUW4EX4ERacG4TvBRbgRfgRFpwbhO8FFuFnhw97q
g/PkLeXBW8oP3zzjM9zx3NdmMb+9MM76lwLhT4CqlSR8LakJdoQ/AapWkvC1pCbYEf4EqFpJ
wteSmmCnhS83SvlnzWlxkzW4yUrQLQFLXRJ+AHxNlpdsCJ/wvbkzx89TQjxnEpr5a52050It
PmtdRxh8721VC5S1bP87+J6l1lowrf0QvpFYJLBIrdZlVMtOKiOlhwW1EnMXqzzZKWnKEZPr
1uyNcTGbPxV+C3jpmNw01I7nF5QHqnY835BoSMqglT73NF4GvjzR0kn1gpEHpjWi8r5ycD1o
UcefCr+2ZR6FX4PT042CqtV5OvzScO9BapWO1gX1dLXQWqPMMn88FX6rbmvLTL70tAamNwdY
A2Kxfzr8fOXRWpXIMtWaSGv1vtRXSVOzbLNAtpTBCN1c485KI75WRmjOZabNWtdJ+IUovhx8
y4Q1MyvX0H45+Gtc9Kv0YYVfm7N612MqOz2xv3LcAr+1+uvxIPyBmj+6PyF8wu8N0HWPa8sO
M39CXAh/AlStJOFrSU2wI/wJULWShK8lNcFOCz/d/EunYPGTvvx1QRFED0SrD+FXRo0HpGcA
cpM1sMnyAJc+hE/4ozkU68+yE8vTpEb4JlyxxoQfy9OkRvgmXLHGhB/L06RG+CZcscaEH8vT
pEb4JlyxxoQfy9OkRvgmXLHGhB/L06RG+CZcscaEH8vTpEb4Jlyxxh74Iz58jCjiZwEJ2/Rn
TQE+TCkQs8BP7iM+zHwRBO37cGXcrPD5PtxKncAbmvGmZkuzwpfvWWfmC9Lad6CPZD7fgV5J
bZmV2uy3Zr58zzozP6NshTliT/gZ/MPhsJxOJ23im34//3w+L9C/r5TUvbyJISbc7XarvlpL
5kNXTujM/AJm1GVMjL1m2WhhNEH3YbLudfCOx7EW32w2C/5HNOgg63M9Zn6FLuozAhDRAB56
eSP8Bl0AK2WsNiAp40vgoUH4HZIAiBUK9gCWBnv4tUoX4VuIBtt+AVOkJPb+eGq3AAAAAElF
TkSuQmCC</item>
    <item item-id="13">iVBORw0KGgoAAAANSUhEUgAAAGUAAAAVCAYAAABfXiAOAAAAAXNSR0IArs4c6QAAAARnQU1B
AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA
AVhJREFUaEPtV4sOwjAInP//0bqZ1TB2PNqwlhiWGFNrKdwBx17v/dnqyYXAQUo9uRDYcrlT
3nw7V8GQD4EiJR8ncytlV9NjqLh9EuIS7hKNWzJ+/GdZ+2qXN+f4OhyRxQY98TXS0pByjuWL
oXvmei8hFIMlmoIc9Tj/DGxXq9F+eOz92hZqX3STGqOl1Rjl+9LvHgI0x/nd9B7ur7RGZ2YS
jGJArfumKUiIEPDcmHTOOtsjfKi9Wbok3e/JXBojGkw0kCnZKJn5Plpf2pcW6OieBagEklVh
o6TMqBBtgOGtKiUpkshbpFyEsfVi9q1l7QxytBi0ClxeKbNIGRm/VeDOBNDI9SRWWKVwPehp
JaMkSAFy7bCA6NGUiGrStJXbN4XeEnDaG6mgIcK8YokE1BJVKyF6J68nSLNiuA1PEdlQNmIR
WPLyGBvC/1krUhJyWqQUKQkRSOjSB4ZJ1bVY9BvRAAAAAElFTkSuQmCC</item>
    <item item-id="14">iVBORw0KGgoAAAANSUhEUgAAAF4AAAAVCAYAAADPTVnBAAAAAXNSR0IArs4c6QAAAARnQU1B
AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA
AVhJREFUWEftl4sKwzAIRbv//+j1QVPEqlfTodswMNgwPnJqrt3rva2lVz6BHXyvfAJLfsrO
eKhMY6gh0OBruNd2/DbR9sF+fc5B70ax+37T4meRahs1l1UuQRuFe2BG9nriPd3jaQJacwl4
q0jPAQakyN6nYC1/Tx1Xp5+3NB08KhLZKYDI3k/4afA9dZjgqZEG49da+j302fKLajjtbE2a
ONBsCdKYaQ/6pvHSYOAQpWCan+br6Q5UtCQ1Vq1IJugZ+HckUVoTanJ4Ay91owc88uP2CHjU
5bOwEcyI3arRtFna90vgJamLAJzdi8CrtykbPNJ51MXIjuJzwJbMeG4nupVSvqPGGfBc13ly
9FuDgw5hxfU8kNmuRn6R3HC4oqF5BRD+edKBI8Xhbyt8QGldab3BWHm0rkNAI3Z0Bj5s09/j
I4f5570NvujpNvgGX0SgKG13fBH4FaNv73/uE6LUAAAAAElFTkSuQmCC</item>
    <item item-id="15">iVBORw0KGgoAAAANSUhEUgAAAGQAAABNCAYAAABQQcGqAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="16">iVBORw0KGgoAAAANSUhEUgAAAEwAAABNCAYAAAAMy4KOAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="17">iVBORw0KGgoAAAANSUhEUgAAAGMAAAAVCAYAAABSQFBJAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="18">iVBORw0KGgoAAAANSUhEUgAAAIYAAAAVCAYAAACDi5Z8AAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="19">iVBORw0KGgoAAAANSUhEUgAAAIEAAAAVCAYAAABhV40FAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="20">iVBORw0KGgoAAAANSUhEUgAAARwAAACDCAYAAABfs6TCAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="21">iVBORw0KGgoAAAANSUhEUgAAANsAAAAYCAYAAABz/4haAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="22">iVBORw0KGgoAAAANSUhEUgAAAI8AAAAxCAYAAADjo/qWAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="23">iVBORw0KGgoAAAANSUhEUgAAAGsAAAAcCAYAAABmmEF1AAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="24">iVBORw0KGgoAAAANSUhEUgAAADEAAAAVCAYAAADvoQY8AAAAAXNSR0IArs4c6QAAAARnQU1B
AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA
ALRJREFUWEftVdEOgCAIrP//6NIWjhAZkstuk80nEbg7wP1ItqFbBoFuGzqAq5MWiJ8wAKtE
2kWFQjgQuXg6hAIORCkcWQkThJRJk43Pca///amWVuDvZXt49kVzJvgFJbUCRvy14qFAeBj2
+pjbiS4lyy1lLH9vQRG/MAgtWQ8Iq5U00rytXK3YnqK4Op4iPgPhGWjJkAdApGVab6rNODL4
rFiwP/bjz5rF3si8S4mRbL6JdQIJ01B2Y+fkpwAAAABJRU5ErkJggg==</item>
    <item item-id="25">iVBORw0KGgoAAAANSUhEUgAAAGMAAAAVCAYAAABSQFBJAAAAAXNSR0IArs4c6QAAAARnQU1B
AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA
AWlJREFUaEPtV9sOgzAI3f7/ozc164IEOIdqLzH1ZdFi4Vwo8/3Zrte65mBgF2NdczDwmqOM
VcVxQi0a5mFgiTGPFv06Y5uQJmzv+UQcdSulS2cgwtF6NzYGJ2ouhkU0+2wwN6f0GcNkYmWS
JQapeIbgTKwrRtlk/5UblvvomRejsco4XTQDQr8f7Rfl/n3sHjjZvIxuTD2aq/99SWCRWQo+
qScGMSIzO7RZUiJBEGGoZu99pjbJZU0dp2MKJbQ6xhPKEhIVi/IjgOy6PAEi8mu7kMFhmYIS
Q4rgOcsqoEVnsISjOIawyGjR/iwX2hRQDNTWkctaiFHrVovYjCAtYi+JoY8pPW+sgWk5yBOQ
AXxVDGSuO2cGwuOKIUFqF+ljKgPIa9nMHujIYdc1Rg9zZCAml2datO8t3xmRA5A70FBnwD8l
5rIYDNkoBq0/hWyEo1qMTCvW/M1FhT9xvVqMJ5IxGtMSY7QCIv8XPPiKAR1C2BkAAAAASUVO
RK5CYII=</item>
    <item item-id="26">iVBORw0KGgoAAAANSUhEUgAAAN4AAAAcCAYAAAAORwEIAAAAAXNSR0IArs4c6QAAAARnQU1B
AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA
AshJREFUeF7tW9FuwyAQ6/7/o7c2UirEAPs4juQUR+pTD3M2NlBl+/l9Py89UkAK7FXgEzw9
UkAK7FXgtXc6zSYFpMBxy5QMUkAK7FcgXfDeF/HPb9Ljo0cKZFUglXvrsCl8WW2nvlMFr14u
BU8GzqqAgpd15dR3agUUvNTLp+azKpA2eLpmZrWc+k79OkHBk4EzK5DyxFPoMltOvQ9PvAhz
r8AsMVbgtWzgeVcY0VMEptf+ET1FYPZ47pzrCFr17rl54kU25cEuAxH1Et3zrtDDDQUhEhvN
vfM1TjRPz6Zq1emsbx0W/4IXTfxMP0NiVS8WnFYtM56pYTiPatg52DrLWrRM5OVz5Wlk0cjD
s+cnBY9QlVkkpoaYaljCzsHWKXjeFcHjqeB1i4r7KTqq6+979cgc9bUSU+xXoLkQNhqfWTfE
rdTmTjzRmqHvWd61D62+nA5ea1dETdffX319Q/16r3c9fEaHkbF36GbR5m48Ubi863p6fxQ+
1MOjgod2KdZsK+pODAaLCeoMTh1upM/Mby8Lz3IzZ8Ns4YDCMHPFZjBbNa7gIaFGO7NFWMZ4
MwIwZq1xR2Osfc5oMDPm5GDhu7LW0jMyv6WvXZ5YNc+x8aE7fL2YrCBoB2RwmBpGDCvOynqk
Qy/wVhOz62jZYCy1V/Bk1n7m9F55uoaeeKMjdoWBrEGwGIapRfOzHBEOulmgU2Jmk2R6Qiep
9wYwujF5wjUay/I+TqfBh+mvnOu7QTHGQ8JbdxUraYbcCpFPY7eERj20zHfi1LhWLKv+5byz
c7FrWmrF8GTqWX8gbiMOFo1m52mdnN+1tARvRQPsrr1qrl040Wa5i25P4Rntm1R/MhYthhc/
0pSR2Fbekb1EYlt5RtZ3/zshQoAIzEhxZrAjOEZgznCrr05ejCtuW6t7nsVL+W9Bs2Q1Tgrc
RQEF7y4roT4epcAfebrd+P/DywAAAAAASUVORK5CYII=</item>
    <item item-id="27">iVBORw0KGgoAAAANSUhEUgAAAPwAAAAcCAYAAABF79LlAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="28">iVBORw0KGgoAAAANSUhEUgAAAYAAAAAwCAYAAAAYeq1+AAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="29">iVBORw0KGgoAAAANSUhEUgAAAWgAAACnCAYAAAA8LMYAAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="30">iVBORw0KGgoAAAANSUhEUgAAAQQAAAAWCAYAAAAmYeIuAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="31">iVBORw0KGgoAAAANSUhEUgAAATIAAAAXCAYAAACI0MP0AAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="32" content-encoding="gzip">H4sIAAAAAAAA/+JhYGBgBOJEIOYCs5mAJEtJUWqqBAMIOAAxR26yf1JWanIJWIQhAYhtGCFS
zGD1nM5hwa6FniWpuYxgFTxAzIYswAsmWcCKeYCKnfNzk/JB0hATBYCYHSiMEOEH2QF0kBOQ
NuSF2AXC//+DVAOV+uekOudkpuaVgPUAbeGA+gRKAvVeOC/4YOFGqYcMaMAO6Op//zkZ2JDE
GOG6Ic5hgvL//QfZCAH/R8GQAn+B+B8SHgUjCwQx5ANhCYMCgytDHpAuYqhELwrwAjEGVnie
B5UHurecWq5zrHVdsuxT97usB1nIajdUqfjPmHyUkRnIPgAVcwbaDrI3FUwWk2Q3CAgBSyFk
/xCrLxVKMzH4M+QAeQFAn6cC7TcAQ+KBBAMTI6gMJMV+UDiJkGAHIUCO/2EAVn6P5v2RCdgY
OBnmAit5EF4ATRNcKKkDBljQUs4He0aogv/wZFfvjG4+ui5sgAVqE0g9E6kJeBRQDgAAAAD/
/wMADL63VuEKAAA=</item>
    <item item-id="33">iVBORw0KGgoAAAANSUhEUgAAAEIAAABoCAYAAABFYya4AAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="34">iVBORw0KGgoAAAANSUhEUgAAAF8AAABNCAYAAADAUrhlAAAAAXNSR0IArs4c6QAAAARnQU1B
AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA
A3ZJREFUeF7tnU1y4kAMhZkDcg8OwRE4AXdhzZYtS5bsuIETUfGUpqd/9Popkwl5XcUCW1I3
n2TJjlPqX8v72Gh8DQGDr9EmcL/fl+PxuFyvVwiTyZue6bfGBrL4w4Qvl8uy2+26AHtIDPx+
v1/MTm0IfoOeAdtutynhZg6sOUDwK3gfjwcV8aVJuwLMkWUKEvwK/MPhsJzP53au3mzsJuWv
T+8yOZ1Oi9n1Q/ALYrfb7Rn1zSL5Dr2avxvHvazZNfvrEPyCpN2h9KIedYqXN7tmX/AbFC2d
oAPR8bL4TOjKvpG83ZuXeTmyfAS+2V+fGQTf0bWiaB90IPD9HILvSPuojDoAAW82reCuV5fg
O8r2NNr7c8DsXY7XW5967ZjgOzJoFD8BEgVa8An4M+C9wwRf8KPl7XPlZiMZXdU6jyKfiHwU
+u8n2486IfiCPxtDuXpKO7k8IWuCD+HKFRb8XJ6QNcGHcOUKC34uT8ia4EO4coUFP5cnZE3w
IVy5woKfyxOyJvgQrlxhwc/lCVkTfAhXrrDg5/KErAk+hCtXGIFf/q8mshK9TKnQisKvyUV1
bVrBJ+DXovxHwkd+9Cg1zNpC9ZqR73NZudj1nD9eHqt9Xy81v8jIPOiPGsEdnZ+Zj9H54x1u
CaeEvH4vJ2x9bwHu6Y9s9wCWRRAtiijIXgCN1vkMyBbg0fFZR/mC08qdKLRRREfPo/BHjFrz
DtPOyPBnwo/Cypb7cvi11FJb1P8I/1+nnVGAQpE/C7RXSEeOK9MQk/PZK2E28lG9atoZFZD1
fC9Xe5izdzSjdcxG3Mg5UYhsTWrm/NECX/l8FD7LQPArBAWfDStCX/AJeKyq4LMECX3BJ+Cx
qoLPEiT0BZ+Ax6oKPkuQ0Bd8Ah6rKvgsQUJf8Al4rKrgswQJfcEn4LGqgs8SJPQFn4DHqgo+
S5DQF3wCHquKwEfetpXr0suUiqei8Eu5qN46peAnwjdTiAMEvwJ/psdaGc2j1Kceaw1C1vXP
t9sdgfTno5Hve3eq344jqL6aSLgly850lI1G/LpUdZTtOA2BicjWaoPSTuGIaBfxGfC2e4S6
iHcif9Q/v3VbGXGG+ucH6oTl5V5Da/90G33Std752jkiAL+1x0lAtSpi9mq7DinnN4hqt6DZ
UEvSy9gnq7VN07N2JK3zZc1oh7gXde0bZefj9jqOBeYAAAAASUVORK5CYII=</item>
    <item item-id="35">iVBORw0KGgoAAAANSUhEUgAAAD0AAAAYCAYAAABJA/VsAAAAAXNSR0IArs4c6QAAAARnQU1B
AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA
APBJREFUWEftVwkOhDAIdP//6PWIbZAFGSnpBtsmJmqrZQ5AP99tLKONHfRoYxkN8OHsCXoQ
Bi5Kb/UsJew9bnpwEGWu3M+JkqCyhKLz5dwF2tqop13uYpHmDtU9AbaAbnlWsy23b7WxkK4/
oEUrnPlCX3SXPx4So57hhJpKU7YkUBIhrcHyAmQVJGQ/K05IackqkRZFgDxZM0F7cxpV2pPn
Ke1d+x5h9J/W1woXF662LI3189ezfvHQa17RkdyLJAUtfLylufq0Bk7rlwgZPdeEgLYqZk9A
yF5hoLOoPP+nEVu8ZU2IvbORMUFnU8wb7wpxpXSmsk8cogAAAABJRU5ErkJggg==</item>
    <item item-id="36">iVBORw0KGgoAAAANSUhEUgAAAE0AAAAYCAYAAAC/SnD0AAAAAXNSR0IArs4c6QAAAARnQU1B
AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA
ARhJREFUWEftl1sSwyAIRdP9L7pNOtoht0jk4VRT/EorKhwumDye+9hy6Agc0HLoCGw687R+
V2Zi0BNIaHpmZ6Xt3dCwxT2WSLEfc3T+fymVXFcgLWgnWEVUJmh3VCQXU+u/5aCNSpgZGitF
rOfyG+t89c5mgkYhcHXOAY0A5VEO9ZN71vhnglY+pz7n4CYjoM2k1mWgYaI0yoi2/Qk0TjXV
ESx9GjBn0wtkyfKkAddAEcIVOITt6XG9sDk703taK2u1hLiLAhUjAWj1RKl3aoLzApP661dc
nsNQXdJlEgUtwl/vHqaXWzy0B0iPzUwXgwQ2BBqWMJY6ncdnrvy9Shi9PgzaaEdn2j+hGbKR
0BKagYBhSSrNAO0FSoO0rIPfTSMAAAAASUVORK5CYII=</item>
    <item item-id="37">iVBORw0KGgoAAAANSUhEUgAAAIwAAAAYCAYAAAAoNxVrAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="38">iVBORw0KGgoAAAANSUhEUgAAAS0AAAAVCAYAAAATvbiaAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="39">iVBORw0KGgoAAAANSUhEUgAAAEkAAAAYCAYAAAC2odCOAAAAAXNSR0IArs4c6QAAAARnQU1B
AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA
ASVJREFUWEftl4sKwzAIRbv//+iugaZI4uPGmK0BA4OxGqvH5z7ndY48OoECKY9O4EhANoGE
ZDM6E9IIpKtzlQbefQAdW4oUX6VTOdTnnWR7WVO2Ix2aCJz91N/63YR0rwg78lBt5oIv/fZ6
SKsyORTSKiP/nZrTkKy6nXFwBro0XNpGi9g3Denp6soEQAxpZTzOeN6D3AmDtKJpz2QS4jwq
8xNIXFY8I/PetzjInMyIY1rJoXqk4IdON3aXIItoNYICoSXM3R9xMEJWymh1T+IiRI3pttAG
ShsdCURrnFV+1nMPMGswdb56X8I1dwTMKCSPfdF3XH9wR2Fo5bUiU14BifYcqUxpyiKlGu1Y
pD5XJkUasIOuhAREKSElJIAAIJKZBED6AnR7bOZkIQzFAAAAAElFTkSuQmCC</item>
    <item item-id="40">iVBORw0KGgoAAAANSUhEUgAAALAAAAAYCAYAAABa+HfdAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="41">iVBORw0KGgoAAAANSUhEUgAAAEYAAAAYCAYAAABHqosDAAAAAXNSR0IArs4c6QAAAARnQU1B
AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA
ATBJREFUWEftl4EKAyEIhm/v/9DbNVaIaf6GQjcMBrurlX7pr3u973HVmAk0MDVmAldBkQkU
GCUyCowF5lafJsLT519SjfvG/erz/f0UMW0BHfz5iaAsH+h8/26C+ZXzJ/IYNq/ASHPf6JFC
CnmXScq6Yc/ZSAqJaWVBiDTS41DWWkQq1IihlBEDpRwdIkYEvaclF7rVGVpR8OyxuvytVEKi
ZWUgB7YCiFxA1BrLDkhjUDiS0UjYRjnr2ScVDI0UsdwpfZE3BY5MJaoTWm/DAVl647nZjLWa
pnBfR7mWbobDGM3PogmMAIOkLwrNKte8SIxn9AAtYngDGAFmx6bo32z9iZSqjRRNp4ovAnEL
DO1HaMRoQrnTvyDGZ67ZBpNp1Al7FxjlFgpMgfElaEWMwusDMSM8Ccii+FMAAAAASUVORK5C
YII=</item>
    <item item-id="42">iVBORw0KGgoAAAANSUhEUgAAAhsAAAAtCAYAAAAHm6kkAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="43">iVBORw0KGgoAAAANSUhEUgAAAqcAAAA0CAYAAAC3iJHAAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="44">iVBORw0KGgoAAAANSUhEUgAAAEwAAAAYCAYAAABQiBvKAAAAAXNSR0IArs4c6QAAAARnQU1B
AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA
AS9JREFUWEftl4sOwiAMRef/f7QOM5B0fQPBaklMZtaxcrgtd4/nOY4cegIFWA49gUMfmpHv
akwMNgIJzMbro7Cz65Xmf/sZ5wsV3q+XSrzG1Ps3hZWAfsD/oYgwyWrW2cfUaxHYZTt+hVNb
ByYEDBAUTyhgq9U+BdjqJL9Jum5gmma4e6HUIQWbtDZPbU9jS/Jf1CX1s3ZCFhcBd0BDWrtr
EeIoUVAQ3cCwsm1H7+XnsM0gEyGekfzRiH/kKsgNDLMVqD/pTG8vYe/1anVqypD1YZLL75sp
1Vi5cobzYyAlSDN7qlaZcK1D35K3yZivBEuvkMDtvO8CRvkVDiD3jEdtu6C5gWFlOdr0d0Gw
vNcFjDu5LC+PGJvAjLs2DRjmy4y5hAifBizEaickmcCMEF94sm3zB2b7DQAAAABJRU5ErkJg
gg==</item>
    <item item-id="45">iVBORw0KGgoAAAANSUhEUgAAAikAAAAtCAYAAABrnfshAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="46">iVBORw0KGgoAAAANSUhEUgAAAcUAAAA3CAYAAAB97FEiAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="47">iVBORw0KGgoAAAANSUhEUgAAAIYAAAAVCAYAAACDi5Z8AAAAAXNSR0IArs4c6QAAAARnQU1B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=</item>
    <item item-id="48">iVBORw0KGgoAAAANSUhEUgAAAIEAAAAVCAYAAABhV40FAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="49">iVBORw0KGgoAAAANSUhEUgAAAbUAAAAXCAYAAACMCdGMAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="50" content-encoding="gzip">H4sIAAAAAAAA/+JhYGBgBOJEIOYCs5mAJEtJUWqqBAMIOAAxR26yf1JWanIJWIQhAYhtGCFS
zGD1nM5hwa6FniWpuYxgFTxAzIYswAsmWcCKeYCKnfNzk/JB0hATBYCYHSiMEOEH2QF0kBHI
baIQu0D4/3+QaqBS/5xU55zM1LwSsB6gLZxQn0BJoN4L5wUfLNwo9ZABDdgBXf3vPycDG5IY
I1w3xDlMUP6//yAbIeD/KBhS4C8Q/0PCo2BkgSCGfCAsYVBgcGXIA9JFDJXoRQFeIMbACs/z
oPJA95ZTy3WOta5Lln3qfpf1IAtZbYCZkf+MyUcZmYHsA1AxZ6DtIHtTwWQxSXaDgBCwFEL2
D7H6UqE0E4M/Qw6QFwD0eSrQfgMwJB5IMDAxgspAUuwHhZMICXYQAuT4HwZg5fdo3h+ZgA3Y
JpgLrORBeAE0TXChpA4YYEFLOR/sGaEK/sOTXb0zuvnourABFqhNIPVMpCbgUUA5AAAAAP//
AwB7d1aS4QoAAA==</item>
    <item item-id="51">iVBORw0KGgoAAAANSUhEUgAAAGoAAABoCAYAAAAZ6WWcAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="52">iVBORw0KGgoAAAANSUhEUgAAAkQAAAAFCAMAAACTpQOIAAAAAXNSR0IArs4c6QAAAARnQU1B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</item>
    <item item-id="53">iVBORw0KGgoAAAANSUhEUgAAAkYAAAAHCAYAAADtRoKMAAAAAXNSR0IArs4c6QAAAARnQU1B
AACxjwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAA
AH9JREFUeF7t2MEJACAMBMHYuZ1rJCJagxOwgWEfh23khSNAgAABAgQIEIhYw8gRIECAAAEC
BAjkZxEEAgQIECBAgACBEjjDqOfnkcdAAxrQgAY0oIHfGrhHoR8jE5kAAQIECBAgsAUMIykQ
IECAAAECBAwjDRAgQIAAAQIEXoEJW0bEgZplSe8AAAAASUVORK5CYII=</item>
  </binaryContent>
</worksheet>