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        <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">To remove this type of noise, you could either use an averaging function, such as smoothing, or try more sophisticated filtering, such as median filtering.</p>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Median filtering is a better way to filter this type of noise because it does not change the intensity levels in the image, but only uses available levels. To see this, look at the histograms of the four images.</p>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">The median filter does a much better job of preserving the edges in this case.</p>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">There are, however, other types of noise which are less responsive to median filtering. For example, Gaussian noise, which was demonstrated in the section <b><u><link href="./Noise.xmcd" title="Links to section" popup="false">Addition and Measurement of Noise</link></u></b>, is better handled by other types of filtering. We can use the following function for Gaussian noise:</p>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">where <inlineAttr font-weight="normal" line-through="false">A is the mean value of the noise, and </inlineAttr><f family="Symbol" charset="2"><inlineAttr font-weight="normal" line-through="false">s</inlineAttr></f><inlineAttr font-weight="normal" line-through="false"> is t</inlineAttr>he standard deviation. </p>
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        <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">None of these filtering methods gives really spectacular results. For a more appropriate method, see the example on <b><u><link href="./Wavedemo.xmcd" title="Links to section" popup="false">Wavelet Smoothing</link></u></b>.</p>
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