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18th International Parallel and Distributed Processing Symposium (IPDPS'04) - Workshop 13
Scalable Regularized Tomography without Repeated Projections
Santa Fe, New Mexico
April 26-April 30
ISBN: 0-7695-2132-0
Jonas August, Carnegie Mellon University
Takeo Kanade, Carnegie Mellon University
X-ray computerized tomography (CT) and related imaging modalities (e.g., PET) are notorious for their excessive computational demands, especially when noise-resistant probabilistic methods such as regularized tomography are used. The basic idea of regularizated tomography is to compute a smooth image whose simulated projections (line integrals) approximate the observed, noisy X-ray projections. The computational expense in previous methods stems from explicitly applying a large sparse projection matrix to enforce these smoothness and data .delity constraints during each of many iterations of the algorithm. Here we review our recent work in regularized tomography in which the smoothness constraint is analytically transformed from the image to the projection domain, before any computations begin. As a result, iterations take place entirely in the projection domain, avoiding the repeated sparse matrixvector products. A more surprising benefit is the decoupling of a large system of regularization equations into many small systems of simpler independent equations, whose solution requires an "embarassingly parallel" computation. In this paper, we demonstrate that this method provides linear speedup of regularized tomography for up to 20 compute nodes (Pentium 4, 1.5 GHz) on a 100 Mb/s network using a Matlab MPI implementation.
Citation:
Jonas August, Takeo Kanade, "Scalable Regularized Tomography without Repeated Projections," ipdps, vol. 14, pp.232a, 18th International Parallel and Distributed Processing Symposium (IPDPS'04) - Workshop 13, 2004
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