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arXiv · 1306.6145

Family Constraining of Iterative Algorithms

Yair Censor·Ioana Pantelimon·Constantin Popa
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Abstract

In constraining iterative processes, the algorithmic operator of the iterative process is pre-multiplied by a constraining operator at each iterative step. This enables the constrained algorithm, besides solving the original problem, also to find a solution that incorporates some prior knowledge about the solution. This approach has been useful in image restoration and other image processing situations when a single constraining operator was used. In the field of image reconstruction from projections a priori information about the original image, such as smoothness or that it belongs to a certain closed convex set, may be used to improve the reconstruction quality. We study here constraining of iterative processes by a family of operators rather than by a single operator.

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Yair Censor, Ioana Pantelimon, Constantin Popa. 2013-07-06. Family Constraining of Iterative Algorithms. https://doi.org/10.1007/s11075-013-9736-5

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