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Zbl 0658.90099
Censor, Yair
Parallel application of block-iterative methods in medical imaging and radiation therapy. (English)
[J] Math. Program., Ser. B 42, No.2, 307-325 (1988). ISSN 0025-5610; ISSN 1436-4646/e

Some row-action algorithms which exploit special objective function and constraints structure have proven advantageous for solving huge and sparse feasibility or optimization problems. Recently developed block- iterative versions of such special-purpose methods enable parallel computation when the underlying problem is appropriately decomposed. This opens the door for parallel computation in image reconstruction problems of computerized tomography and in the inverse problem of radiation therapy treatment planning, all in their fully discretized modelling approach. Since there is more than one way of deriving block-iterative versions of any row-action method, the choice has to be made with reference to the underlying real-world problem.

MSC 2000:: *90C90 Appl. of mathematical programming
65K05 Mathematical programming (numerical methods)

Keywords: block-iterative algorithms; entropy maximization; row-action algorithms; parallel computation; image reconstruction; tomography

Cited in: Zbl 0743.65041

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