Graph Laplacian tomography from unknown random projections

We introduce a graph Laplacian-based algorithm for the tomographic reconstruction of a planar object from its projections taken at random unknown directions. A Laplace-type operator is constructed on the data set of projections, and the eigenvectors of this operator reveal the projection orientation...

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Veröffentlicht in:IEEE transactions on image processing : a publication of the IEEE Signal Processing Society. - 1992. - 17(2008), 10 vom: 01. Okt., Seite 1891-9
1. Verfasser: Coifman, Ronald R (VerfasserIn)
Weitere Verfasser: Shkolnisky, Yoel, Sigworth, Fred J, Singer, Amit
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2008
Zugriff auf das übergeordnete Werk:IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
Schlagworte:Journal Article
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520 |a We introduce a graph Laplacian-based algorithm for the tomographic reconstruction of a planar object from its projections taken at random unknown directions. A Laplace-type operator is constructed on the data set of projections, and the eigenvectors of this operator reveal the projection orientations. The algorithm is shown to successfully reconstruct the Shepp-Logan phantom from its noisy projections. Such a reconstruction algorithm is desirable for the structuring of certain biological proteins using cryo-electron microscopy 
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700 1 |a Sigworth, Fred J  |e verfasserin  |4 aut 
700 1 |a Singer, Amit  |e verfasserin  |4 aut 
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