%0 Journal Article
%T Family Constraining of Iterative Algorithms
%A Yair Censor
%A Ioana Pantelimon
%A Constantin Popa
%J Mathematics
%D 2013
%I arXiv
%R 10.1007/s11075-013-9736-5
%X 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.
%U http://arxiv.org/abs/1306.6145v2