Family Constraining of Iterative Algorithms
Yair Censor (yairmath.haifa.ac.il)
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.
Keywords: Iterative algorithms, constraining operator, family constraining
Category 1: Nonlinear Optimization (Nonlinear Systems and Least-Squares )
Category 2: Applications -- Science and Engineering
Citation: Revised: July 5, 2013. Numerical Algorithms, accepted for publication.
Entry Submitted: 06/26/2013
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