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	<title>Closest Point Set - Revision history</title>
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	<updated>2026-05-10T11:50:22Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://www.cloudcompare.org/doc/wiki/index.php?title=Closest_Point_Set&amp;diff=46695&amp;oldid=prev</id>
		<title>Daniel: /* Description */</title>
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		<updated>2015-02-20T11:03:16Z</updated>

		<summary type="html">&lt;p&gt;&lt;span class=&quot;autocomment&quot;&gt;Description&lt;/span&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;= Menu / Icon =&lt;br /&gt;
&lt;br /&gt;
This tool is accessible via the &amp;#039;Tools &amp;gt; Distances &amp;gt; Closest Point Set&amp;#039; menu.&lt;br /&gt;
&lt;br /&gt;
= Description =&lt;br /&gt;
&lt;br /&gt;
This tool computes &amp;#039;closest point set&amp;#039; of a cloud relatively to another one. This structure is defined for instance by Besl et al. in the original ICP article.&lt;br /&gt;
&lt;br /&gt;
Let &amp;#039;&amp;#039;A&amp;#039;&amp;#039; and &amp;#039;&amp;#039;B&amp;#039;&amp;#039; be two clouds with respectively N&amp;lt;sub&amp;gt;A&amp;lt;/sub&amp;gt; and N&amp;lt;sub&amp;gt;B&amp;lt;/sub&amp;gt; points.&lt;br /&gt;
&lt;br /&gt;
The closest point set of &amp;#039;&amp;#039;A&amp;#039;&amp;#039; relatively to &amp;#039;&amp;#039;B&amp;#039;&amp;#039; (&amp;#039;&amp;#039;CPSet&amp;lt;sub&amp;gt;B&amp;lt;/sub&amp;gt;(A)&amp;#039;&amp;#039;) is the set of points from the &amp;#039;&amp;#039;B&amp;#039;&amp;#039; cloud that are closest to each point of &amp;#039;&amp;#039;A&amp;#039;&amp;#039;.&lt;br /&gt;
&lt;br /&gt;
This set has N&amp;lt;sub&amp;gt;A&amp;lt;/sub&amp;gt; points which all come from the &amp;#039;&amp;#039;B&amp;#039;&amp;#039; cloud. Moreover, the points of &amp;#039;&amp;#039;B&amp;#039;&amp;#039; can be duplicated several times in the output set as they can be the &amp;#039;closest&amp;#039; for different points of the &amp;#039;&amp;#039;A&amp;#039;&amp;#039; cloud.&lt;br /&gt;
&lt;br /&gt;
= Procedure =&lt;br /&gt;
&lt;br /&gt;
To launch this tool the user must select two clouds (and only two).&lt;br /&gt;
&lt;br /&gt;
Then the user must choose which cloud will be the &amp;#039;&amp;#039;A&amp;#039;&amp;#039; cloud (equivalent to the &amp;#039;Compared&amp;#039; cloud when computing distances at each ICP registration iteration - as this is where this concept is used) and which cloud is the &amp;#039;&amp;#039;B&amp;#039;&amp;#039; cloud (equivalent to the &amp;#039;Reference&amp;#039; cloud).&lt;br /&gt;
&lt;br /&gt;
[[File:Cc_cpset_dialog.jpg|center]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
CloudCompare will then compute the closest point set and add it (as a new cloud) to the DB tree. The &amp;#039;&amp;#039;Reference/B&amp;#039;&amp;#039; cloud will be hidden (as the closest point set will be a subset of it and therefore it wouldn&amp;#039;t be visible).&lt;br /&gt;
&lt;br /&gt;
Warning: as stated above, this cloud may have duplicate points.&lt;/div&gt;</summary>
		<author><name>Daniel</name></author>
	</entry>
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