Abstract：
:Component averaging (CAV) was recently introduced by Censor, Gordon, and Gordon as a new iterative parallel technique suitable for large and sparse unstructured systems of linear equations. Based on earlier work of Byrne and Censor, it uses diagonal weighting matrices, with pixel-related weights determined by the sparsity of the system matrix. CAV is inherently parallel (similar to the very slowly converging Cimmino method) but its practical convergence on problems of image reconstruction from projections is similar to that of the algebraic reconstruction technique (ART). Parallel techniques are becoming more important for practical image reconstruction since they are relevant not only for supercomputers but also for the increasingly prevalent multiprocessor workstations. This paper reports on experimental results with a block-iterative version of component averraging (BICAV). When BICAV is optimized for block size and relaxation parameters, its very first iterates are far superior to those of and more or less on a par with ART. Similar to CAV, BICAV is also inherently parallel. The fast convergence is demonstrated on problems of image reconstruction from projections, using the SNARK93 image reconstruction software package. Detailed plots of various measures of convergence, and reconstructed images are presented.
journal_name
IEEE Trans Med Imagingjournal_title
IEEE transactions on medical imagingauthors
Censor Y,Gordon D,Gordon Rdoi
10.1109/42.959302subject
Has Abstractpub_date
2001-10-01 00:00:00pages
1050-60issue
10eissn
0278-0062issn
1558-254Xjournal_volume
20pub_type
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