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		<title>WikiSysop: Created page with &quot;== Citation ==  Urzhumtsev, A.G. 2025. Rescaling FSC curves. Acta Crystallographica Sec. D. 81, 11 (2025).  == Abstract ==  Similarity between two periodic functions is commonly assessed by comparing their Fourier coefficients within resolution shells. In particular, this approach is widely used in both crystallography and cryo-electron microscopy (cryoEM). The definition of these shells, that is the choice of resolution scale for their boundaries, can be guided by the s...&quot;</title>
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		<updated>2025-11-12T16:53:33Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Citation ==  Urzhumtsev, A.G. 2025. Rescaling FSC curves. Acta Crystallographica Sec. D. 81, 11 (2025).  == Abstract ==  Similarity between two periodic functions is commonly assessed by comparing their Fourier coefficients within resolution shells. In particular, this approach is widely used in both crystallography and cryo-electron microscopy (cryoEM). The definition of these shells, that is the choice of resolution scale for their boundaries, can be guided by the s...&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;
Urzhumtsev, A.G. 2025. Rescaling FSC curves. Acta Crystallographica Sec. D. 81, 11 (2025).&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
Similarity between two periodic functions is commonly assessed by comparing&lt;br /&gt;
their Fourier coefficients within resolution shells. In particular, this approach is&lt;br /&gt;
widely used in both crystallography and cryo-electron microscopy (cryoEM).&lt;br /&gt;
The definition of these shells, that is the choice of resolution scale for their&lt;br /&gt;
boundaries, can be guided by the specific goals of the analysis, by the expected&lt;br /&gt;
features of the studied functions or simply by convention. In cryoEM, shell&lt;br /&gt;
boundaries are traditionally defined uniformly in inverse resolution. This&lt;br /&gt;
convention results in a vast imbalance in the number of Fourier coefficients per&lt;br /&gt;
shell, which may bias statistical comparisons and can make function plots&lt;br /&gt;
misleading. Constructing resolution shells with approximately equal numbers of&lt;br /&gt;
Fourier coefficients can be achieved automatically by defining shell boundaries&lt;br /&gt;
uniformly on the inverse cubic resolution scale. This transformation effectively&lt;br /&gt;
zooms into the high-resolution region, which is typically the primary focus of&lt;br /&gt;
analysis. For Fourier shell correlation (FSC) calculations between half-maps,&lt;br /&gt;
the characteristic sigmoidal curves were observed to transform into profiles that&lt;br /&gt;
permit piecewise linear interpolation, which may make FSC analysis more&lt;br /&gt;
robust.&lt;br /&gt;
&lt;br /&gt;
== Keywords ==&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
&lt;br /&gt;
https://journals.iucr.org/d/issues/2025/11/00/vo5019/index.html&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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