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	<title>2016Ye Cohomology - Revision history</title>
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	<updated>2026-06-13T13:46:25Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://3demmethods.i2pc.es/index.php?title=2016Ye_Cohomology&amp;diff=2898&amp;oldid=prev</id>
		<title>CoSS: Created page with &quot;== Citation ==  Ye, K. &amp; Lim, L. H. Cohomology of cryo-electron Microscopy Arxiv, 2016  == Abstract ==  The goal of cryo-electron microscopy (EM) is to reconstruct the 3-dimen...&quot;</title>
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		<updated>2016-09-02T05:17:25Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Citation ==  Ye, K. &amp;amp; Lim, L. H. Cohomology of cryo-electron Microscopy Arxiv, 2016  == Abstract ==  The goal of cryo-electron microscopy (EM) is to reconstruct the 3-dimen...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;== Citation ==&lt;br /&gt;
&lt;br /&gt;
Ye, K. &amp;amp; Lim, L. H. Cohomology of cryo-electron Microscopy Arxiv, 2016&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
The goal of cryo-electron microscopy (EM) is to reconstruct the 3-dimensional structure&lt;br /&gt;
of a molecule from a collection of its 2-dimensional projected images. In this article, we show&lt;br /&gt;
that the basic premise of cryo-EM | patching together 2-dimensional projections to reconstruct&lt;br /&gt;
a 3-dimensional object | is naturally one of �Cech cohomology with SO(2)-coe�cients. We deduce&lt;br /&gt;
that every cryo-EM reconstruction problem corresponds to an oriented circle bundle on a&lt;br /&gt;
simplicial complex, allowing us to classify cryo-EM problems via principal bundles. In practice, the&lt;br /&gt;
2-dimensional images are noisy and a main task in cryo-EM is to denoise them. We will see how&lt;br /&gt;
the aforementioned insights can be used towards this end.&lt;br /&gt;
&lt;br /&gt;
== Keywords ==&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
&lt;br /&gt;
https://arxiv.org/pdf/1604.01319v1.pdf&lt;br /&gt;
&lt;br /&gt;
== Related software ==&lt;br /&gt;
&lt;br /&gt;
== Related methods ==&lt;br /&gt;
&lt;br /&gt;
== Comments ==&lt;/div&gt;</summary>
		<author><name>CoSS</name></author>
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