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Proximal method for geometry and texture image decomposition

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4 Author(s)
L. M. Briceño-Arias ; UPMC Université Paris 06, Laboratoire Jacques-Louis Lions UMR CNRS 7598, 75005, France ; P. L. Combettes ; J. -C. Pesquet ; N. Pustelnik

We propose a variational method for decomposing an image into a geometry and a texture component. Our model involves the sum of two functions promoting separately properties of each component, and of a coupling function modeling the interaction between the components. None of these functions is required to be differentiable, which significantly broadens the range of decompositions achievable through variational approaches. The convergence of the proposed proximal algorithm is guaranteed under suitable assumptions. Numerical examples are provided that show an application of the algorithm to image decomposition and restoration in the presence of Poisson noise.

Published in:

2010 IEEE International Conference on Image Processing

Date of Conference:

26-29 Sept. 2010