Continuous Primal-Dual Methods for Image Processing

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. Acknowledgements. I would like to warmly thank my PhD advisor Antonin Chambolle for suggesting me this problem and for our fruitful discussions. This research was partially supported by ANR project MICA (20062009).

• Type: Journal
• Year: 2011
• Where: SIAMIS
• Authors: M. Goldman
• Keywords: Anr Project Mica, Continuous Primal-dual Method, Phd Advisor Antonin, SIAMIS 2011, Software Engineering