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A multilevel domain decomposition algorithm for fast O(N2logN) reprojection of tomographic images
A Boag1, Y Bresler, E Michielssen
1Department of Electrical Engineering-Physical Electronics, Tel-Aviv University, Ramat-Aviv 69978, Tel-Aviv, Israel. boag@eng.tau.ac.il
Abstract:
A novel algorithm for fast computation of tomographic image projections is presented. The method comprises a decomposition of an image into subimages followed by an aggregation of projections computed for the subimages. The multilevel domain decomposition algorithm is formulated as a recursive procedure. The computational cost of the proposed algorithm is comparable to that of FFT-based techniques while it appears to be more flexible than the latter. Numerical results demonstrate the effectiveness of the method.
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