27 August 2010 Image reconstruction using symmetry
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Symmetry provides a source of redundancy which can be exploited in image reconstruction. In particular, internal symmetries in molecules can help to compensate for the loss of Fourier phase information in macromolecular x-ray crystallography. Symmetry projections are incorporated into iterative projection algorithms for reconstruction of macromolecular electron densities from x-ray diffraction amplitudes from crystals. The effects of interpolation are studied and the algorithms are applied to reconstruction of an icosahedral virus.
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V. L. Lo, V. L. Lo, R. P. Millane, R. P. Millane, "Image reconstruction using symmetry", Proc. SPIE 7800, Image Reconstruction from Incomplete Data VI, 78000N (27 August 2010); doi: 10.1117/12.861147; https://doi.org/10.1117/12.861147


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