Calculus of Variations and Geometric Measure Theory
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M. Goldman

Continuous Primal-Dual methods for Image Processing

created by goldman on 04 Oct 2011


Published Paper

Inserted: 4 oct 2011

Journal: SIAM Journal of Imaging Science
Volume: 4
Number: 1
Pages: 20
Year: 2011


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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