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	<title>2015Abrishami Fourier - Revision history</title>
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	<entry>
		<id>https://3demmethods.i2pc.es/index.php?title=2015Abrishami_Fourier&amp;diff=2705&amp;oldid=prev</id>
		<title>CoSS: Created page with &quot;== Citation ==  Abrishami, V.; Bilbao-Castro, J. R.; Vargas, J.; Marabini, R.; Carazo, J. M. &amp; Sorzano, C. O. S. A fast iterative convolution weighting approach for gridding-b...&quot;</title>
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		<updated>2015-08-07T06:40:25Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;== Citation ==  Abrishami, V.; Bilbao-Castro, J. R.; Vargas, J.; Marabini, R.; Carazo, J. M. &amp;amp; Sorzano, C. O. S. A fast iterative convolution weighting approach for gridding-b...&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;
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Abrishami, V.; Bilbao-Castro, J. R.; Vargas, J.; Marabini, R.; Carazo, J. M. &amp;amp; Sorzano, C. O. S. A fast iterative convolution weighting approach for gridding-based direct Fourier three-dimensional reconstruction with correction for the contrast transfer function. Ultramicroscopy, 2015, 157, 79-87&lt;br /&gt;
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== Abstract ==&lt;br /&gt;
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We describe a fast and accurate method for the reconstruction of macromolecular complexes from a set of projections. Direct Fourier inversion (in which the Fourier Slice Theorem plays a central role) is a solution for dealing with this inverse problem. Unfortunately, the set of projections provides a non-equidistantly sampled version of the macromolecule Fourier transform in the single particle field (and, therefore, a direct Fourier inversion) may not be an optimal solution. In this paper, we introduce a gridding-based direct Fourier method for the three-dimensional reconstruction approach that uses a weighting technique to compute a uniform sampled Fourier transform. Moreover, the contrast transfer function of the microscope, which is a limiting factor in pursuing a high resolution reconstruction, is corrected by the algorithm. Parallelization of this algorithm, both on threads and on multiple CPU&amp;#039;s, makes the process of three-dimensional reconstruction even faster. The experimental results show that our proposed gridding-based direct Fourier reconstruction is slightly more accurate than similar existing methods and presents a lower computational complexity both in terms of time and memory, thereby allowing its use on larger volumes. The algorithm is fully implemented in the open-source Xmipp package and is downloadable from http://xmipp.cnb.csic.es.&lt;br /&gt;
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== Keywords ==&lt;br /&gt;
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== Links ==&lt;br /&gt;
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http://www.sciencedirect.com/science/article/pii/S0304399115001291&lt;br /&gt;
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== Related software ==&lt;br /&gt;
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http://xmipp.cnb.csic.es/twiki/bin/view/Xmipp/Fourier&lt;br /&gt;
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== Related methods ==&lt;br /&gt;
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== Comments ==&lt;/div&gt;</summary>
		<author><name>CoSS</name></author>
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