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	<title>2024Wang CommonLines - Revision history</title>
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	<updated>2026-05-24T21:07:14Z</updated>
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		<id>https://3demmethods.i2pc.es/index.php?title=2024Wang_CommonLines&amp;diff=5107&amp;oldid=prev</id>
		<title>WikiSysop: Created page with &quot;== Citation ==  Wang, X., Jin, Q., Zou, L., Lin, X. and Lu, Y. 2024. Orientation Determination of Cryo-EM Projection Images Using Reliable Common Lines and Spherical Embeddings. IEEE/ACM Transactions on Computational Biology and Bioinformatics. (2024).  == Abstract ==  Three-dimensional (3D) reconstruction in singleparticle cryo-electronmicroscopy (cryo-EM) is a critical technique for recovering and studying the fine 3D structure of proteins and other biological macromol...&quot;</title>
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		<updated>2025-11-14T17:03:09Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Citation ==  Wang, X., Jin, Q., Zou, L., Lin, X. and Lu, Y. 2024. Orientation Determination of Cryo-EM Projection Images Using Reliable Common Lines and Spherical Embeddings. IEEE/ACM Transactions on Computational Biology and Bioinformatics. (2024).  == Abstract ==  Three-dimensional (3D) reconstruction in singleparticle cryo-electronmicroscopy (cryo-EM) is a critical technique for recovering and studying the fine 3D structure of proteins and other biological macromol...&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;
Wang, X., Jin, Q., Zou, L., Lin, X. and Lu, Y. 2024. Orientation Determination of Cryo-EM Projection Images Using Reliable Common Lines and Spherical Embeddings. IEEE/ACM Transactions on Computational Biology and Bioinformatics. (2024).&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
Three-dimensional (3D) reconstruction in singleparticle&lt;br /&gt;
cryo-electronmicroscopy (cryo-EM) is a critical technique&lt;br /&gt;
for recovering and studying the fine 3D structure of proteins and&lt;br /&gt;
other biological macromolecules, where the primary issue is to&lt;br /&gt;
determine the orientations of projection images with high levels&lt;br /&gt;
of noise. This paper proposes a method to determine the orientations&lt;br /&gt;
of cryo-EM projection images using reliable common lines&lt;br /&gt;
and spherical embeddings. First, the reliability of common lines&lt;br /&gt;
between projection images is evaluated using a weighted voting&lt;br /&gt;
algorithm based on an iterative improvement technique and binarized&lt;br /&gt;
weighting. Then, the reliable common lines are used to&lt;br /&gt;
calculate the normal vectors and localX-axis vectors of projection&lt;br /&gt;
images after two spherical embeddings. Finally, the orientations of&lt;br /&gt;
projection images are determined by aligning the results of the two&lt;br /&gt;
spherical embeddings using an orthogonal constraint. Experimental&lt;br /&gt;
results on both synthetic and real cryo-EM projection image&lt;br /&gt;
datasets demonstrate that the proposed method can achieve higher&lt;br /&gt;
accuracy in estimating the orientations of projection images and&lt;br /&gt;
higher resolution in reconstructing preliminary 3D structures than&lt;br /&gt;
some common line-based methods, indicating that the proposed&lt;br /&gt;
method is effective in single-particle cryo-EM 3D reconstruction.&lt;br /&gt;
&lt;br /&gt;
== Keywords ==&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
&lt;br /&gt;
https://ieeexplore.ieee.org/abstract/document/10711260&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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