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arXiv · 1003.6003

Continuous Primal-Dual Methods for Image Processing

Michael Goldman
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Abstract

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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Michael Goldman. 2010-03-31. Continuous Primal-Dual Methods for Image Processing. https://doi.org/10.1137/100789178

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