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	<title>2023Geva AbInitio - Revision history</title>
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	<updated>2026-05-24T21:14:15Z</updated>
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		<id>https://3demmethods.i2pc.es/index.php?title=2023Geva_AbInitio&amp;diff=4873&amp;oldid=prev</id>
		<title>WikiSysop: Created page with &quot;== Citation ==  A. S. Geva and Y. Shkolnisky, “A common lines approach for ab initio modeling of molecules with tetrahedral and octahedral symmetry,” SIAM J. on Imaging Sciences, vol. 16, no. 4, pp. 1978–2014, 2023.  == Abstract ==  A main task in cryo-electron microscopy single particle reconstruction is to nd a three-dimensional model of a molecule given a set of its randomly oriented and positioned noisy projection-images. In this work, we propose an algorithm f...&quot;</title>
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		<updated>2024-12-23T19:27:19Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Citation ==  A. S. Geva and Y. Shkolnisky, “A common lines approach for ab initio modeling of molecules with tetrahedral and octahedral symmetry,” SIAM J. on Imaging Sciences, vol. 16, no. 4, pp. 1978–2014, 2023.  == Abstract ==  A main task in cryo-electron microscopy single particle reconstruction is to nd a three-dimensional model of a molecule given a set of its randomly oriented and positioned noisy projection-images. In this work, we propose an algorithm f...&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;
A. S. Geva and Y. Shkolnisky, “A common lines approach for ab initio modeling of molecules with tetrahedral and octahedral symmetry,” SIAM J. on Imaging Sciences, vol. 16, no. 4, pp. 1978–2014, 2023.&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
A main task in cryo-electron microscopy single particle reconstruction is to nd&lt;br /&gt;
a three-dimensional model of a molecule given a set of its randomly oriented and&lt;br /&gt;
positioned noisy projection-images. In this work, we propose an algorithm for ab-initio&lt;br /&gt;
reconstruction for molecules with tetrahedral or octahedral symmetry. The algorithm&lt;br /&gt;
exploits the multiple common lines between each pair of projection-images as well as&lt;br /&gt;
self common lines within each image. It is robust to noise in the input images as it&lt;br /&gt;
integrates the information from all images at once. The eciency of the proposed&lt;br /&gt;
algorithm is demonstrated using experimental cryo-electron microscopy data.&lt;br /&gt;
&lt;br /&gt;
== Keywords ==&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
&lt;br /&gt;
https://epubs.siam.org/doi/abs/10.1137/22M150383X&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>WikiSysop</name></author>
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