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	<title>2025Guo Alignment - Revision history</title>
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	<updated>2026-05-24T21:06:34Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://3demmethods.i2pc.es/index.php?title=2025Guo_Alignment&amp;diff=4997&amp;oldid=prev</id>
		<title>WikiSysop: Created page with &quot;== Citation ==  S. Guo, Z. Xu, X. Li, Z. Yang, C. Feng, and R. Han, “Robust projection parameter calibration in cryo-ET with L1-norm optimization,” Ultramicroscopy, p. 114134, 2025.  == Abstract ==  Fiducial marker-based alignment in cryo-electron tomography (cryo-ET) has been extensively studied over a long period. The calibration of projection parameters using nonlinear least squares technique methodologies stands as the ultimate and pivotal stage in the alignment...&quot;</title>
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		<updated>2025-06-20T10:30:56Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Citation ==  S. Guo, Z. Xu, X. Li, Z. Yang, C. Feng, and R. Han, “Robust projection parameter calibration in cryo-ET with L1-norm optimization,” Ultramicroscopy, p. 114134, 2025.  == Abstract ==  Fiducial marker-based alignment in cryo-electron tomography (cryo-ET) has been extensively studied over a long period. The calibration of projection parameters using nonlinear least squares technique methodologies stands as the ultimate and pivotal stage in the alignment...&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;
S. Guo, Z. Xu, X. Li, Z. Yang, C. Feng, and R. Han, “Robust projection parameter calibration in cryo-ET with L1-norm optimization,” Ultramicroscopy, p. 114134, 2025.&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
Fiducial marker-based alignment in cryo-electron tomography (cryo-ET) has been extensively studied over a&lt;br /&gt;
long period. The calibration of projection parameters using nonlinear least squares technique methodologies&lt;br /&gt;
stands as the ultimate and pivotal stage in the alignment procedure. The efficacy of calibration is substantially&lt;br /&gt;
impacted by noise and outliers in the marker data obtained from previous steps. Several robust fitting methods&lt;br /&gt;
have been explored and implemented to address this issue by improving marker data or assigning weights&lt;br /&gt;
to markers. However, these methods have their own limitations and often assume general Gaussian noise&lt;br /&gt;
assumption, which may not accurately represent the distribution of noise and outliers in the marker data. In&lt;br /&gt;
this work, we propose a robust projection parameter calibration model based on 𝐿1-norm optimization under&lt;br /&gt;
Laplace noise assumption in order to overcome the limitations of existing methods. To efficiently solve the&lt;br /&gt;
problem, we also design a faster and stabler first-order non-sparse method based on smooth approximation&lt;br /&gt;
strategy. Additionally, we introduce subgradient and subdifferential for mathematical analysis. The accuracy,&lt;br /&gt;
robustness, and efficacy of our approach are demonstrated through both simulated and real-world experiments.&lt;br /&gt;
&lt;br /&gt;
== Keywords ==&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
&lt;br /&gt;
https://www.sciencedirect.com/science/article/pii/S0304399125000336&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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