Continuous Primal-Dual Methods for Image Processing

Details Continuous Primal-Dual Methods for Image Processing Continuous Primal-Dual Methods for Image Processing

2010-03-31

arxiv.org/abs/1003.6003v2

SIAM Journal of Imaging Sciences 4, 1 (2011) 366-385

Mathematics

Analysis of PDEs

Scientific paper

10.1137/100789178

In this article we study a continuous Primal-Dual method proposed by Appleton and Talbot and generalize it to other problems in image processing. We interpret it as an Arrow-Hurwicz method which leads to a better description of the system of PDEs obtained. We show existence and uniqueness of solutions and get a convergence result for the denoising problem. Our analysis also yields new a posteriori estimates.

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