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math.OC2008★ 208 cited
A Proximal Decomposition Method for Solving Convex Variational Inverse Problems
Patrick L. Combettes, Jean-Christophe Pesquet
A broad range of inverse problems can be abstracted into the problem of minimizing the sum of several convex functions in a Hilbert space. We propose a proximal decomposition algor…
math.OC2008
Nested iterative algorithms for convex constrained image recovery problems
Caroline Chaux, Jean-Christophe Pesquet, Nelly Pustelnik
The objective of this paper is to develop methods for solving image recovery problems subject to constraints on the solution. More precisely, we will be interested in problems whic…