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            <c val="#008080">INTRODUCTORY MATERIAL</c>
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            <b>
              <c val="#800080">HLS and HSV Color Systems</c>
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        <phrase>HLS color systems</phrase>
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            <c val="#800000">Function Definitions and Syntax</c>
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              <c val="#800000">rgb_to_hls(RGB)</c>
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        <phrase>rgb_to_hls function</phrase>
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      <text use-page-width="false" push-down="false" lock-width="true">
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              <c val="#800000">hls_to_rgb(HLS)</c>
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        <phrase>hls_to_rgb function</phrase>
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    <region region-id="1977" left="6" top="138.75" width="90" height="14.25" align-x="6" align-y="150" 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">
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              <c val="#800000">rgb_to_hsv(RGB)</c>
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        <phrase>rgb_to_hsv function</phrase>
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    <region region-id="1978" left="144" top="138.75" width="90" height="14.25" align-x="144" align-y="150" 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">
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              <c val="#800000">hsv_to_rgb(HSV)</c>
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        <phrase>hsv_to_rgb function</phrase>
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    <region region-id="1979" left="6" top="162.75" width="345" height="57" align-x="6" align-y="174" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
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        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This section describes functions related to HLS and HSV image color systems. They take images or color vectors stored in one color representation as input, and return an image or color vector in a different color representation. </p>
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          <b>
            <c val="#800000">Arguments</c>
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              <f family="Times New Roman" charset="0"> HLS</f>
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            <inlineAttr font-weight="normal" line-through="false">, or </inlineAttr>
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              <inlineAttr line-through="false">HSV</inlineAttr>
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          </f> an image matrix, in the specified color system, or a length-3 vector in the specified color system</p>
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                <c val="#800000">HLS and HSV Color Representations</c>
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    <region region-id="1962" left="6" top="318.75" width="342" height="213.75" align-x="6" align-y="330" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">RGB is the most common representation of color in digital image files, partly because the human eye perceives color using red-, green-, and blue-sensitive photoreceptive cones, and partly because it is easy to display on computer monitors (which have red, green, and blue phosphors, roughly corresponding to the cones in the eye). However, there are many other ways to represent color in images.</p>
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit" />
        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The HLS and HSV models, for instance, instead of representing colors as superpositions of three primary colors, instead have values for the hue of the color, the degree of saturation, and the intensity. This type of representation was developed to be more intuitive than RGB, though it suffers from some difficulties for image computation, such as a discontinuity in hue value at 360 (since the hue is represented as an angle, see below). However, it may have advantages for some types of image calculations where it is useful to have the hue, saturation, and intensity separate.</p>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Smith's hue, saturation, value (HSV) model uses the hex-cone shown at right. Saturation is the length of the radial line from white to the pixel color. Value is the height from the apex of the hex-cone. Hue is the angle in degrees measured from the line between white and red. Under HSV, maximum saturation can occur only if value is at its maximum of 1.0 (255 in a 0-255 scale).</p>
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          <b>HSV Hex-Cone</b>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">The hue, lightness, saturation (HLS) model is almost identical to the HSV model except that a double hex-cone is used instead of an inverted hex-cone. Hue and saturation are defined in the same way for both systems. Value and lightness are slightly different. Under HLS, maximum saturation can only occur at a lightness of 0.5 (127 in a 0-255 scale). At higher lightness values, the colors become diluted by white light. </p>
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              <inlineAttr line-through="false">HLS Double-Hex Cone</inlineAttr>
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      <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">Note that neither HLS nor HSV has an intensity value that compensates for the relative difference in perceived brightness of red, green, and blue of the human eye, so if you create colors of constant HLS lightness or HSV value, they do not appear equally bright.</p>
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                <c val="#800000">Converting Between RGB and HLS/HSV: Single Colors </c>
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        <phrase>rgb and hls/hsv, converting between</phrase>
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              <c val="#800000">rgb_to_hls(RGB)</c>
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        <phrase>rgb_to_hls function</phrase>
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              <c val="#800000">hls_to_rgb(HLS)</c>
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        <phrase>hls_to_rgb function</phrase>
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              <c val="#800000">rgb_to_hsv(RGB)</c>
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        <phrase>rgb_to_hsv function</phrase>
      </indexes>
    </region>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">
          <b>
            <inlineAttr font-style="normal">
              <c val="#800000">hsv_to_rgb(HSV)</c>
            </inlineAttr>
          </b>
        </p>
      </text>
      <indexes>
        <phrase>hsv_to_rgb function</phrase>
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    </region>
    <region region-id="1969" left="6" top="1176.75" width="332.25" 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="">
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        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Individual RGB colors can be converted to and from HLS and HSV using the <f family="Times New Roman" charset="0"><b><inlineAttr font-style="normal" line-through="false">rgb_to_hsv</inlineAttr></b></f><inlineAttr font-style="normal">,</inlineAttr><sp /><f family="Times New Roman" charset="0"><b><inlineAttr font-style="normal" line-through="false">rgb_to_hls</inlineAttr></b></f><inlineAttr font-style="normal">,</inlineAttr><sp /><f family="Times New Roman" charset="0"><b><inlineAttr font-style="normal" line-through="false">hsv_to_rgb</inlineAttr></b></f><inlineAttr font-style="normal">,</inlineAttr> and <f family="Times New Roman" charset="0"><b><inlineAttr font-style="normal" line-through="false">hls_to_rgb</inlineAttr></b></f> functions:</p>
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      <math optimize="false" disable-calc="false">
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          <ml:apply>
            <ml:id xml:space="preserve">hls_to_rgb</ml:id>
            <ml:apply>
              <ml:id xml:space="preserve">rgb_to_hls</ml:id>
              <ml:id xml:space="preserve">Blue</ml:id>
            </ml:apply>
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    <region region-id="1735" left="0" top="1644" width="6000" height="6" align-x="0" align-y="1644" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="">
      <pageBreak />
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    <region region-id="2012" left="6" top="1656.75" width="106.5" height="14.25" align-x="6" align-y="1668" 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">Creating Color Maps</c>
              </inlineAttr>
            </b>
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      <indexes>
        <phrase>color maps, creating</phrase>
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    <region region-id="2013" left="6" top="1674.75" width="327.75" height="71.25" align-x="6" align-y="1686" 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">We can also use the <f family="Times New Roman" charset="0"><b><inlineAttr font-style="normal" line-through="false">hsv_to_rgb</inlineAttr></b></f> function to generate a color map palette to view a grayscale image in false color. For instance, let's generate a 256-color palette where the saturation and value are both 255, and the hue varies from 0 to MAXH, which is globally defined below:</p>
      </text>
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          <ml:id xml:space="preserve">I</ml:id>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Augment them together and transpose to make a 3 x 256 array:</p>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Use <f family="Times New Roman" charset="0"><b><inlineAttr font-style="normal" line-through="false">hsv_to_rgb</inlineAttr></b></f> to create a 3 x 256 RGB matrix of palette entries:</p>
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            <ml:id xml:space="preserve">hsv_to_rgb</ml:id>
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              <ml:id xml:space="preserve">I</ml:id>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Transpose the matrix to make a 256 x 3 matrix, and then put the index column on the left to make the 256 x 4 color map:</p>
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        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Now we can use this palette to view an image in false color, and experiment with different values of MAXH to see the effect on the image.</p>
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        <phrase>HLS/HSV images, viewing</phrase>
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        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">HLS and HSV images can be viewed in a picture region by setting the input type to HLS or HSV. Let's generate an HSV image from three separate submatrices, and view it.</p>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit">Here's the image we've created. Note that although the intensity value is constant for the whole image, not all parts appear equally bright to the eye, as mentioned above. You can see that the picture region below is set to view HSV images by right-clicking it and choosing <f family="Times New Roman" charset="0"><b><inlineAttr line-through="false">Properties.</inlineAttr></b></f></p>
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        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">RGB images can be converted to and from HLS and HSV using the functions above. As an example, we can read in an RGB photo and convert it to HLS and HSV:</p>
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        <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">You can change the image type and image input matrix here to verify that all the images above are the same.</p>
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