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	<title>2025Bai NUDFT - Revision history</title>
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	<updated>2026-05-24T20:20:44Z</updated>
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		<title>WikiSysop: Created page with &quot;== Citation ==  Z. Bai and J. Huang, “Non-uniform Fourier transform based image classification in single-particle Cryo-EM,” J. Structural Biology X, p. 100121, 2025.  == Abstract ==  In the single-particle Cryo-EM projection image classification, it is a common practice to apply the Fourier transform to the images and extract rotation-invariant features in the frequency domain. However, this process involves interpolation, which can reduce the accuracy of the results...&quot;</title>
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		<updated>2025-07-08T06:54:48Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Citation ==  Z. Bai and J. Huang, “Non-uniform Fourier transform based image classification in single-particle Cryo-EM,” J. Structural Biology X, p. 100121, 2025.  == Abstract ==  In the single-particle Cryo-EM projection image classification, it is a common practice to apply the Fourier transform to the images and extract rotation-invariant features in the frequency domain. However, this process involves interpolation, which can reduce the accuracy of the results...&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;
Z. Bai and J. Huang, “Non-uniform Fourier transform based image classification in single-particle Cryo-EM,” J. Structural Biology X, p. 100121, 2025.&lt;br /&gt;
&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
In the single-particle Cryo-EM projection image classification, it is a common practice to apply the Fourier&lt;br /&gt;
transform to the images and extract rotation-invariant features in the frequency domain. However, this process&lt;br /&gt;
involves interpolation, which can reduce the accuracy of the results. In contrast, the non-uniform Fourier&lt;br /&gt;
transform provides more direct and accurate computation of rotation-invariant features without the need&lt;br /&gt;
for interpolation in the computation process. Leveraging the capabilities of the non-uniform discrete Fourier&lt;br /&gt;
transform (NUDFT), we have developed an algorithm for the rotation-invariant classification. To highlight its&lt;br /&gt;
potential and applicability in the field of single-particle Cryo-EM, we conducted a direct comparison with the&lt;br /&gt;
traditional Fourier transform and other methods, demonstrating the superior performance of the NUDFT.&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/S2590152425000029&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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