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		<id>http://wiki.panotools.org/index.php?title=Aliasing&amp;feed=atom&amp;action=history</id>
		<title>Aliasing - Revision history</title>
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		<updated>2013-06-19T19:06:08Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=10854&amp;oldid=prev</id>
		<title>Erik Krause: /* Definition and Background */  linked to filters page</title>
		<link rel="alternate" type="text/html" href="http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=10854&amp;oldid=prev"/>
				<updated>2008-10-06T17:20:21Z</updated>
		
		<summary type="html">&lt;p&gt;‎&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Definition and Background: &lt;/span&gt;  linked to filters page&lt;/span&gt;&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Older revision&lt;/td&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 17:20, 6 October 2008&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 14:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 14:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;When using older versions of [[Panorama Tools]] (and derived tools such as [[PTStitcher]], [[nona]] or the [[Panorama Tools Plugins]]) the important thing to know was that Panorama Tools did not anti-alias until pano12 version 2.7.0.11.&amp;#160; This meant that if you had Panorama Tools make a small panorama directly, it was likely to show jaggies or Moire effects. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;When using older versions of [[Panorama Tools]] (and derived tools such as [[PTStitcher]], [[nona]] or the [[Panorama Tools Plugins]]) the important thing to know was that Panorama Tools did not anti-alias until pano12 version 2.7.0.11.&amp;#160; This meant that if you had Panorama Tools make a small panorama directly, it was likely to show jaggies or Moire effects. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;In version 2.7.0.11 &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;there where added &lt;/del&gt;a couple of anti-aliasing interpolators which can be used by either specifying the correct interpolator number in the [http://photocreations.ca/panotools/stitch.txt script]] or by choosing one of the interpolators directly if the Software supports it. However, the traditional interpolators &amp;quot;poly3&amp;quot;, &amp;quot;spline16&amp;quot;, &amp;quot;spline36&amp;quot;, &amp;quot;sinc256&amp;quot;, &amp;quot;spline64&amp;quot;, &amp;quot;bilinear&amp;quot;, &amp;quot;nearest neighbor&amp;quot; and &amp;quot;sinc1024&amp;quot; still cause aliasing.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;In version 2.7.0.11 a couple of &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[&lt;/ins&gt;anti-aliasing interpolators&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]] where added &lt;/ins&gt;which can be used by either specifying the correct interpolator number in the [http://photocreations.ca/panotools/stitch.txt script]] or by choosing one of the interpolators directly if the Software supports it. However, the traditional interpolators &amp;quot;poly3&amp;quot;, &amp;quot;spline16&amp;quot;, &amp;quot;spline36&amp;quot;, &amp;quot;sinc256&amp;quot;, &amp;quot;spline64&amp;quot;, &amp;quot;bilinear&amp;quot;, &amp;quot;nearest neighbor&amp;quot; and &amp;quot;sinc1024&amp;quot; still cause aliasing.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;=== Guidance ===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;=== Guidance ===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Erik Krause</name></author>	</entry>

	<entry>
		<id>http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=9373&amp;oldid=prev</id>
		<title>Erik Krause: Prepared for new glossary template</title>
		<link rel="alternate" type="text/html" href="http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=9373&amp;oldid=prev"/>
				<updated>2007-11-17T21:41:43Z</updated>
		
		<summary type="html">&lt;p&gt;Prepared for new glossary template&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Older revision&lt;/td&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 21:41, 17 November 2007&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;{{Glossary|less than optimal resampling that causes &amp;quot;jaggies&amp;quot; and Moire effects.}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;=== Definition and Background ===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;=== Definition and Background ===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Erik Krause</name></author>	</entry>

	<entry>
		<id>http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=4580&amp;oldid=prev</id>
		<title>WikiSysop: 6 revision(s)</title>
		<link rel="alternate" type="text/html" href="http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=4580&amp;oldid=prev"/>
				<updated>2006-07-13T20:27:58Z</updated>
		
		<summary type="html">&lt;p&gt;6 revision(s)&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
			&lt;tr valign='top'&gt;
			&lt;td colspan='1' style=&quot;background-color: white; color:black;&quot;&gt;← Older revision&lt;/td&gt;
			&lt;td colspan='1' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 20:27, 13 July 2006&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan='2' align='center' class='diff-multi'&gt;(One intermediate revision by one user not shown)&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>WikiSysop</name></author>	</entry>

	<entry>
		<id>http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=3403&amp;oldid=prev</id>
		<title>WikiSysop: 1 revision(s)</title>
		<link rel="alternate" type="text/html" href="http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=3403&amp;oldid=prev"/>
				<updated>2006-07-13T19:56:38Z</updated>
		
		<summary type="html">&lt;p&gt;1 revision(s)&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
			&lt;tr valign='top'&gt;
			&lt;td colspan='1' style=&quot;background-color: white; color:black;&quot;&gt;← Older revision&lt;/td&gt;
			&lt;td colspan='1' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 19:56, 13 July 2006&lt;/td&gt;
			&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>WikiSysop</name></author>	</entry>

	<entry>
		<id>http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=4579&amp;oldid=prev</id>
		<title>Erik Krause: update: anti aliasing filters in PTools</title>
		<link rel="alternate" type="text/html" href="http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=4579&amp;oldid=prev"/>
				<updated>2006-03-26T22:40:50Z</updated>
		
		<summary type="html">&lt;p&gt;update: anti aliasing filters in PTools&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Older revision&lt;/td&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 22:40, 26 March 2006&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 11:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 11:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Such filtering is one way to '''''anti-alias'''''.&amp;#160; &amp;lt;small&amp;gt;(There are others, not relevant here.)&amp;lt;/small&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Such filtering is one way to '''''anti-alias'''''.&amp;#160; &amp;lt;small&amp;gt;(There are others, not relevant here.)&amp;lt;/small&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;When using [[Panorama Tools]] (and derived tools such as [[PTStitcher]], [[nona]] or the [[Panorama Tools Plugins]]) the important thing to know &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;is &lt;/del&gt;that Panorama Tools &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;does &lt;/del&gt;not anti-alias.&amp;#160; This &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;means &lt;/del&gt;that if you &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;have &lt;/del&gt;Panorama Tools make a small panorama directly, it &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;is &lt;/del&gt;likely to show jaggies or Moire effects. &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; &lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;When using &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;older versions of &lt;/ins&gt;[[Panorama Tools]] (and derived tools such as [[PTStitcher]], [[nona]] or the [[Panorama Tools Plugins]]) the important thing to know &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;was &lt;/ins&gt;that Panorama Tools &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;did &lt;/ins&gt;not anti-alias &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;until pano12 version 2.7.0.11&lt;/ins&gt;.&amp;#160; This &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;meant &lt;/ins&gt;that if you &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;had &lt;/ins&gt;Panorama Tools make a small panorama directly, it &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;was &lt;/ins&gt;likely to show jaggies or Moire effects. &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;In version 2.7.0.11 there where added a couple of anti-aliasing interpolators which can be used by either specifying the correct interpolator number in the [http://photocreations.ca/panotools/stitch.txt script]] or by choosing one of the interpolators directly if the Software supports it. However, the traditional interpolators &amp;quot;poly3&amp;quot;, &amp;quot;spline16&amp;quot;, &amp;quot;spline36&amp;quot;, &amp;quot;sinc256&amp;quot;, &amp;quot;spline64&amp;quot;, &amp;quot;bilinear&amp;quot;, &amp;quot;nearest neighbor&amp;quot; and &amp;quot;sinc1024&amp;quot; still cause aliasing.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;=== Guidance ===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;=== Guidance ===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;You will get better results by having Panorama Tools make a large panorama, then resizing it (downsampling) using some tool like [[Photoshop]], [[ImageMagick]] or the [[Gimp]] that does incorporate anti-aliasing.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;You will get better results by having Panorama Tools make a large panorama, then resizing it (downsampling) using some tool like [[Photoshop]], [[ImageMagick]] or the [[Gimp]] that does incorporate anti-aliasing&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;, if you use a version prior to 2.7.0.11 or if it's not possible to use the new anti-aliasing filters&lt;/ins&gt;.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;=== Illustrations ===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;=== Illustrations ===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Erik Krause</name></author>	</entry>

	<entry>
		<id>http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=3402&amp;oldid=prev</id>
		<title>Erik Krause: update: anti aliasing filters in PTools</title>
		<link rel="alternate" type="text/html" href="http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=3402&amp;oldid=prev"/>
				<updated>2006-03-26T22:40:50Z</updated>
		
		<summary type="html">&lt;p&gt;update: anti aliasing filters in PTools&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;=== Definition and Background ===&lt;br /&gt;
&lt;br /&gt;
'''''Aliasing''''' is a process that results in &amp;quot;jaggies&amp;quot; or Moire effects when an image is sampled or resampled.&lt;br /&gt;
&lt;br /&gt;
The word &amp;quot;aliasing&amp;quot; comes from frequency-domain analysis.  Slow periodic sampling of a signal causes high frequency components to be &amp;quot;aliased&amp;quot; into low frequency ones that corrupt the sampled signal.&lt;br /&gt;
&lt;br /&gt;
To avoid aliasing, a signal must not contain frequencies that are higher than one half the sample rate.  Likewise, an input image must not contain details that are smaller than one pixel in the output image.  &lt;br /&gt;
&lt;br /&gt;
This can be accomplished by appropriately filtering the signal or blurring the image before resampling it.  &lt;br /&gt;
&lt;br /&gt;
Such filtering is one way to '''''anti-alias'''''.  &amp;lt;small&amp;gt;(There are others, not relevant here.)&amp;lt;/small&amp;gt;&lt;br /&gt;
&lt;br /&gt;
When using older versions of [[Panorama Tools]] (and derived tools such as [[PTStitcher]], [[nona]] or the [[Panorama Tools Plugins]]) the important thing to know was that Panorama Tools did not anti-alias until pano12 version 2.7.0.11.  This meant that if you had Panorama Tools make a small panorama directly, it was likely to show jaggies or Moire effects. &lt;br /&gt;
&lt;br /&gt;
In version 2.7.0.11 there where added a couple of anti-aliasing interpolators which can be used by either specifying the correct interpolator number in the [http://photocreations.ca/panotools/stitch.txt script]] or by choosing one of the interpolators directly if the Software supports it. However, the traditional interpolators &amp;quot;poly3&amp;quot;, &amp;quot;spline16&amp;quot;, &amp;quot;spline36&amp;quot;, &amp;quot;sinc256&amp;quot;, &amp;quot;spline64&amp;quot;, &amp;quot;bilinear&amp;quot;, &amp;quot;nearest neighbor&amp;quot; and &amp;quot;sinc1024&amp;quot; still cause aliasing.&lt;br /&gt;
&lt;br /&gt;
=== Guidance ===&lt;br /&gt;
&lt;br /&gt;
You will get better results by having Panorama Tools make a large panorama, then resizing it (downsampling) using some tool like [[Photoshop]], [[ImageMagick]] or the [[Gimp]] that does incorporate anti-aliasing, if you use a version prior to 2.7.0.11 or if it's not possible to use the new anti-aliasing filters.&lt;br /&gt;
&lt;br /&gt;
=== Illustrations ===&lt;br /&gt;
&lt;br /&gt;
The following images illustrate this guidance.  They show crops from a 1000x500 panorama.  &lt;br /&gt;
&lt;br /&gt;
On the left is what Photoshop produced by downsampling from a 6068x3034 pano, using the Image Size command with Bicubic resampling.  (6068x3034 was the [[PTGui]] &amp;quot;optimum&amp;quot; size.)  &lt;br /&gt;
&lt;br /&gt;
On the right is what Panorama Tools produced directly at 1000x500.&lt;br /&gt;
&lt;br /&gt;
'''Actual pixels'''&lt;br /&gt;
&lt;br /&gt;
[[Image:AliasingPScubic.jpg]] [[Image:AliasingPTpoly3.jpg]] &lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
'''2X enlargement to show the aliasing more clearly'''&lt;br /&gt;
&lt;br /&gt;
[[Image:AliasingPScubic_2x.jpg]] [[Image:AliasingPTpoly3_2x.jpg]]&lt;br /&gt;
[[Category:Glossary]]&lt;/div&gt;</summary>
		<author><name>Erik Krause</name></author>	</entry>

	<entry>
		<id>http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=4578&amp;oldid=prev</id>
		<title>Bruno: categorised</title>
		<link rel="alternate" type="text/html" href="http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=4578&amp;oldid=prev"/>
				<updated>2005-11-11T12:10:54Z</updated>
		
		<summary type="html">&lt;p&gt;categorised&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Older revision&lt;/td&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 12:10, 11 November 2005&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 33:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 33:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;[[Image:AliasingPScubic_2x.jpg]] [[Image:AliasingPTpoly3_2x.jpg]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;[[Image:AliasingPScubic_2x.jpg]] [[Image:AliasingPTpoly3_2x.jpg]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;[[Category:Glossary]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Bruno</name></author>	</entry>

	<entry>
		<id>http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=4577&amp;oldid=prev</id>
		<title>Bruno: linkified</title>
		<link rel="alternate" type="text/html" href="http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=4577&amp;oldid=prev"/>
				<updated>2005-07-21T15:33:28Z</updated>
		
		<summary type="html">&lt;p&gt;linkified&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Older revision&lt;/td&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 15:33, 21 July 2005&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 11:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 11:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Such filtering is one way to '''''anti-alias'''''.&amp;#160; &amp;lt;small&amp;gt;(There are others, not relevant here.)&amp;lt;/small&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Such filtering is one way to '''''anti-alias'''''.&amp;#160; &amp;lt;small&amp;gt;(There are others, not relevant here.)&amp;lt;/small&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;When using Panorama Tools, the important thing to know is that Panorama Tools does not anti-alias.&amp;#160; This means that if you have Panorama Tools make a small panorama directly, it is likely to show jaggies or Moire effects.&amp;#160; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;When using &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[&lt;/ins&gt;Panorama Tools&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]] (and derived tools such as [[PTStitcher]]&lt;/ins&gt;, &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[nona]] or the [[Panorama Tools Plugins]]) &lt;/ins&gt;the important thing to know is that Panorama Tools does not anti-alias.&amp;#160; This means that if you have Panorama Tools make a small panorama directly, it is likely to show jaggies or Moire effects.&amp;#160; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;=== Guidance ===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;=== Guidance ===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;You will get better results by having Panorama Tools make a large panorama, then resizing it (downsampling) using some tool like Photoshop that does incorporate anti-aliasing.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;You will get better results by having Panorama Tools make a large panorama, then resizing it (downsampling) using some tool like &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[&lt;/ins&gt;Photoshop&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]], [[ImageMagick]] or the [[Gimp]] &lt;/ins&gt;that does incorporate anti-aliasing.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;=== Illustrations ===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;=== Illustrations ===&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 21:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 21:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;The following images illustrate this guidance.&amp;#160; They show crops from a 1000x500 panorama.&amp;#160; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;The following images illustrate this guidance.&amp;#160; They show crops from a 1000x500 panorama.&amp;#160; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;On the left is what Photoshop produced by downsampling from a 6068x3034 pano, using the Image Size command with Bicubic resampling.&amp;#160; (6068x3034 was the PTGui &amp;quot;optimum&amp;quot; size.)&amp;#160; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;On the left is what Photoshop produced by downsampling from a 6068x3034 pano, using the Image Size command with Bicubic resampling.&amp;#160; (6068x3034 was the &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[&lt;/ins&gt;PTGui&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;]] &lt;/ins&gt;&amp;quot;optimum&amp;quot; size.)&amp;#160; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;On the right is what Panorama Tools produced directly at 1000x500.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;On the right is what Panorama Tools produced directly at 1000x500.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Bruno</name></author>	</entry>

	<entry>
		<id>http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=4576&amp;oldid=prev</id>
		<title>Rjlittlefield: reformatting and wordsmithing</title>
		<link rel="alternate" type="text/html" href="http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=4576&amp;oldid=prev"/>
				<updated>2005-06-26T18:14:49Z</updated>
		
		<summary type="html">&lt;p&gt;reformatting and wordsmithing&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Older revision&lt;/td&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 18:14, 26 June 2005&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;'''Aliasing''' is a process that results in &amp;quot;jaggies&amp;quot; or Moire effects when an image is sampled or resampled.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;=== Definition and Background ===&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;'''Aliasing&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;''' is a process that results in &amp;quot;jaggies&amp;quot; or Moire effects when an image is sampled or resampled.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;The word &amp;quot;aliasing&amp;quot; comes from frequency-domain analysis.&amp;#160; Slow periodic sampling of a signal causes high frequency components to be &amp;quot;aliased&amp;quot; into low frequency ones that corrupt the sampled signal.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;The word &amp;quot;aliasing&amp;quot; comes from frequency-domain analysis.&amp;#160; Slow periodic sampling of a signal causes high frequency components to be &amp;quot;aliased&amp;quot; into low frequency ones that corrupt the sampled signal.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 7:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 9:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;This can be accomplished by appropriately filtering the signal or blurring the image before resampling it.&amp;#160; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;This can be accomplished by appropriately filtering the signal or blurring the image before resampling it.&amp;#160; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Such filtering is one way to '''anti-alias'''.&amp;#160; &amp;lt;small&amp;gt;(There are others, not relevant here.)&amp;lt;/small&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;Such filtering is one way to &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;'''anti-alias&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;''&lt;/ins&gt;'''.&amp;#160; &amp;lt;small&amp;gt;(There are others, not relevant here.)&amp;lt;/small&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;When using Panorama Tools, the important thing to know is that Panorama Tools does not anti-alias.&amp;#160; This means that if you have Panorama Tools make a small panorama directly, it is likely to show jaggies or Moire effects.&amp;#160; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;When using Panorama Tools, the important thing to know is that Panorama Tools does not anti-alias.&amp;#160; This means that if you have Panorama Tools make a small panorama directly, it is likely to show jaggies or Moire effects.&amp;#160; &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;color: red; font-weight: bold; text-decoration: none;&quot;&gt;=== Guidance ===&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;You will get better results by having Panorama Tools make a large panorama, then resizing it (downsampling) using some tool like Photoshop that does incorporate anti-aliasing.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;You will get better results by having Panorama Tools make a large panorama, then resizing it (downsampling) using some tool like Photoshop that does incorporate anti-aliasing.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;The following images illustrate this guidance.&amp;#160; They show crops from a 1000x500 panorama.&amp;#160; On the left is what Photoshop produced by downsampling from a 6068x3034 pano.&amp;#160; On the right is what Panorama Tools produced directly at 1000x500.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;=== Illustrations ===&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;quot;Actual pixels&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;&amp;quot;&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;The following images illustrate this guidance.&amp;#160; They show crops from a 1000x500 panorama.&amp;#160; &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;On the left is what Photoshop produced by downsampling from a 6068x3034 pano, using the Image Size command with Bicubic resampling.&amp;#160; (6068x3034 was the PTGui &lt;/ins&gt;&amp;quot;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;optimum&amp;quot; size.)&amp;#160; &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;On the right is what Panorama Tools produced directly at 1000x500.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'''&lt;/ins&gt;Actual pixels&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'''&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;[[Image:AliasingPScubic.jpg]] [[Image:AliasingPTpoly3.jpg]] &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;[[Image:AliasingPScubic.jpg]] [[Image:AliasingPTpoly3.jpg]] &amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;2X enlargement to show the aliasing more clearly&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;.&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'''&lt;/ins&gt;2X enlargement to show the aliasing more clearly&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'''&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;[[Image:AliasingPScubic_2x.jpg]] [[Image:AliasingPTpoly3_2x.jpg]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background: #eee; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;[[Image:AliasingPScubic_2x.jpg]] [[Image:AliasingPTpoly3_2x.jpg]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Rjlittlefield</name></author>	</entry>

	<entry>
		<id>http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=4575&amp;oldid=prev</id>
		<title>Rjlittlefield: main content added</title>
		<link rel="alternate" type="text/html" href="http://wiki.panotools.org/index.php?title=Aliasing&amp;diff=4575&amp;oldid=prev"/>
				<updated>2005-06-26T18:05:32Z</updated>
		
		<summary type="html">&lt;p&gt;main content added&lt;/p&gt;
&lt;table class='diff diff-contentalign-left'&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
				&lt;col class='diff-marker' /&gt;
				&lt;col class='diff-content' /&gt;
			&lt;tr valign='top'&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;← Older revision&lt;/td&gt;
			&lt;td colspan='2' style=&quot;background-color: white; color:black;&quot;&gt;Revision as of 18:05, 26 June 2005&lt;/td&gt;
			&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;background: #ffa; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;(&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;Page under construction&lt;/del&gt;)&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;'''Aliasing''' is a process that results in &amp;quot;jaggies&amp;quot; or Moire effects when an image is sampled or resampled.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;The word &amp;quot;aliasing&amp;quot; comes from frequency-domain analysis.&amp;#160; Slow periodic sampling of a signal causes high frequency components to be &amp;quot;aliased&amp;quot; into low frequency ones that corrupt the sampled signal.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;To avoid aliasing, a signal must not contain frequencies that are higher than one half the sample rate.&amp;#160; Likewise, an input image must not contain details that are smaller than one pixel in the output image.&amp;#160; &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;This can be accomplished by appropriately filtering the signal or blurring the image before resampling it.&amp;#160; &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;Such filtering is one way to '''anti-alias'''.&amp;#160; &amp;lt;small&amp;gt;&lt;/ins&gt;(&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;There are others, not relevant here.&lt;/ins&gt;)&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;/small&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;When using Panorama Tools, the important thing to know is that Panorama Tools does not anti-alias.&amp;#160; This means that if you have Panorama Tools make a small panorama directly, it is likely to show jaggies or Moire effects.&amp;#160; &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;You will get better results by having Panorama Tools make a large panorama, then resizing it (downsampling) using some tool like Photoshop that does incorporate anti-aliasing.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;The following images illustrate this guidance.&amp;#160; They show crops from a 1000x500 panorama.&amp;#160; On the left is what Photoshop produced by downsampling from a 6068x3034 pano.&amp;#160; On the right is what Panorama Tools produced directly at 1000x500.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;quot;Actual pixels&amp;quot;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[Image:AliasingPScubic.jpg]] [[Image:AliasingPTpoly3.jpg]] &lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;2X enlargement to show the aliasing more clearly.&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&amp;#160;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;background: #cfc; color:black; font-size: smaller;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;[[Image:AliasingPScubic_2x.jpg]] [[Image:AliasingPTpoly3_2x.jpg]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Rjlittlefield</name></author>	</entry>

	</feed>