Continuous Primal-Dual Methods for Image Processing
Analysis of PDEs
2011-05-06 v2 Numerical Analysis
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.
Cite
@article{arxiv.1003.6003,
title = {Continuous Primal-Dual Methods for Image Processing},
author = {Michael Goldman},
journal= {arXiv preprint arXiv:1003.6003},
year = {2011}
}