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	<id>https://wiki.dirkjanswagerman.nl/index.php?action=history&amp;feed=atom&amp;title=Spatial_domain</id>
	<title>Spatial domain - Revision history</title>
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	<updated>2026-10-25T11:51:42Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://wiki.dirkjanswagerman.nl/index.php?title=Spatial_domain&amp;diff=8416&amp;oldid=prev</id>
		<title>Dirkjan at 20:16, 27 August 2020</title>
		<link rel="alternate" type="text/html" href="https://wiki.dirkjanswagerman.nl/index.php?title=Spatial_domain&amp;diff=8416&amp;oldid=prev"/>
		<updated>2020-08-27T20:16:44Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 20:16, 27 August 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l16&quot; &gt;Line 16:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 16:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/p&amp;gt;&amp;lt;p&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/p&amp;gt;&amp;lt;p&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A related term used in this&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;A related term used in this&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;context is [[&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;em&amp;gt;spatial frequency&amp;lt;/em&amp;gt;|&lt;/del&gt;&amp;lt;em&amp;gt;spatial frequency&amp;lt;/em&amp;gt;]], which refers to&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;context is [[&amp;lt;em&amp;gt;spatial frequency&amp;lt;/em&amp;gt;]], which refers to&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;the (inverse of the) periodicity with which the image intensity values&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;the (inverse of the) periodicity with which the image intensity values&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;change. Image features with high spatial frequency (such as edges) are&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;change. Image features with high spatial frequency (such as edges) are&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;those that change greatly in intensity over short image distances.&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;those that change greatly in intensity over short image distances.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/p&amp;gt;&amp;lt;p&amp;gt;Another term used in this context is&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/p&amp;gt;&amp;lt;p&amp;gt;Another term used in this context is&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;em&amp;gt;[[&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;spatial derivative&amp;lt;/em&amp;gt;|&lt;/del&gt;spatial derivative&amp;lt;/em&amp;gt;]], which refers to how much&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;em&amp;gt;[[spatial derivative&amp;lt;/em&amp;gt;]], which refers to how much&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;the image intensity values change per change in image position.&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;the image intensity values change per change in image position.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/p&amp;gt;&amp;lt;/html&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&#039;diff-marker&#039;&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/p&amp;gt;&amp;lt;/html&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Dirkjan</name></author>
		
	</entry>
	<entry>
		<id>https://wiki.dirkjanswagerman.nl/index.php?title=Spatial_domain&amp;diff=2909&amp;oldid=prev</id>
		<title>Dirkjan: Created page with &quot;&lt;html&gt;&lt;p&gt;The &lt;em&gt;spatial domain&lt;/em&gt; is the normal image space, in which a change in position in I directly projects to a change in position in S. Distances in I (in pixels) c...&quot;</title>
		<link rel="alternate" type="text/html" href="https://wiki.dirkjanswagerman.nl/index.php?title=Spatial_domain&amp;diff=2909&amp;oldid=prev"/>
		<updated>2020-08-25T09:35:44Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;html&amp;gt;&amp;lt;p&amp;gt;The &amp;lt;em&amp;gt;spatial domain&amp;lt;/em&amp;gt; is the normal image space, in which a change in position in I directly projects to a change in position in S. Distances in I (in pixels) c...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;html&amp;gt;&amp;lt;p&amp;gt;The&lt;br /&gt;
&amp;lt;em&amp;gt;spatial domain&amp;lt;/em&amp;gt; is the normal image space, in which&lt;br /&gt;
a change in position in I directly projects to a change in position in&lt;br /&gt;
S. Distances in I (in pixels) correspond to real distances&lt;br /&gt;
(&amp;lt;em&amp;gt;e.g.&amp;lt;/em&amp;gt; in meters) in S.&amp;lt;/p&amp;gt;&amp;lt;p&amp;gt;This&lt;br /&gt;
concept is used most often when discussing the frequency with which&lt;br /&gt;
image values change, that is, over how many pixels does a cycle of&lt;br /&gt;
periodically repeating intensity variations occur. One would refer to&lt;br /&gt;
the number of pixels over which a pattern repeats (its periodicity) in&lt;br /&gt;
the spatial domain. &amp;lt;/p&amp;gt;&amp;lt;p&amp;gt;In most cases, the &amp;lt;a&lt;br /&gt;
href=&amp;quot;http://homepages.inf.ed.ac.uk/rbf/HIPR2/fourier.htm&amp;quot;&amp;gt;Fourier&lt;br /&gt;
Transform&amp;lt;/a&amp;gt; will be used to convert images from the spatial&lt;br /&gt;
domain into the&amp;lt;a&lt;br /&gt;
href=&amp;quot;http://homepages.inf.ed.ac.uk/rbf/HIPR2/freqdom.htm&amp;quot;&amp;gt;frequency&lt;br /&gt;
domain&amp;lt;/a&amp;gt;.&lt;br /&gt;
&amp;lt;/p&amp;gt;&amp;lt;p&amp;gt;&lt;br /&gt;
A related term used in this&lt;br /&gt;
context is [[&amp;lt;em&amp;gt;spatial frequency&amp;lt;/em&amp;gt;|&amp;lt;em&amp;gt;spatial frequency&amp;lt;/em&amp;gt;]], which refers to&lt;br /&gt;
the (inverse of the) periodicity with which the image intensity values&lt;br /&gt;
change. Image features with high spatial frequency (such as edges) are&lt;br /&gt;
those that change greatly in intensity over short image distances.&lt;br /&gt;
&amp;lt;/p&amp;gt;&amp;lt;p&amp;gt;Another term used in this context is&lt;br /&gt;
&amp;lt;em&amp;gt;[[spatial derivative&amp;lt;/em&amp;gt;|spatial derivative&amp;lt;/em&amp;gt;]], which refers to how much&lt;br /&gt;
the image intensity values change per change in image position.&lt;br /&gt;
&amp;lt;/p&amp;gt;&amp;lt;/html&amp;gt;&lt;br /&gt;
[[Category:microscopy]]&lt;br /&gt;
&lt;br /&gt;
[[Category:image]]&lt;br /&gt;
&lt;br /&gt;
[[Category:processing]]&lt;/div&gt;</summary>
		<author><name>Dirkjan</name></author>
		
	</entry>
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