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	<title>2024Verbeke SelfFSC - Revision history</title>
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	<updated>2026-06-13T12:13:30Z</updated>
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	<entry>
		<id>https://3demmethods.i2pc.es/index.php?title=2024Verbeke_SelfFSC&amp;diff=4539&amp;oldid=prev</id>
		<title>WikiSysop: Created page with &quot;== Citation ==  Verbeke, E. J. / Gilles, M. A. / Singer, A. Self Fourier shell correlation: properties and application to cryo-ET. 2024. Communications Biology, Vol. 7, p. 101...&quot;</title>
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		<updated>2024-01-17T09:16:26Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Citation ==  Verbeke, E. J. / Gilles, M. A. / Singer, A. Self Fourier shell correlation: properties and application to cryo-ET. 2024. Communications Biology, Vol. 7, p. 101...&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;
Verbeke, E. J. / Gilles, M. A. / Singer, A. Self Fourier shell correlation: properties and application to cryo-ET. 2024. Communications Biology, Vol. 7, p. 101 &lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
The Fourier shell correlation (FSC) is a measure of the similarity between two signals&lt;br /&gt;
computed over corresponding shells in the frequency domain and has broad applications in&lt;br /&gt;
microscopy. In structural biology, the FSC is ubiquitous in methods for validation, resolution&lt;br /&gt;
determination, and signal enhancement. Computing the FSC usually requires two independent&lt;br /&gt;
measurements of the same underlying signal, which can be limiting for some applications.&lt;br /&gt;
Here, we analyze and extend on an approach to estimate the FSC from a single&lt;br /&gt;
measurement. In particular, we derive the necessary conditions required to estimate the FSC&lt;br /&gt;
from downsampled versions of a single noisy measurement. These conditions reveal additional&lt;br /&gt;
corrections which we implement to increase the applicability of the method. We then&lt;br /&gt;
illustrate two applications of our approach, first as an estimate of the global resolution from a&lt;br /&gt;
single 3-D structure and second as a data-driven method for denoising tomographic&lt;br /&gt;
reconstructions in electron cryo-tomography. These results provide general guidelines for&lt;br /&gt;
computing the FSC from a single measurement and suggest new applications of the FSC&lt;br /&gt;
in microscopy.&lt;br /&gt;
&lt;br /&gt;
== Keywords ==&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
&lt;br /&gt;
https://www.nature.com/articles/s42003-023-05724-y&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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