Discontinuous Galerkin Method for Total Variation Minimization on one-dimensional Inpainting Problem

Details Discontinuous Galerkin Method for Total Variation Minimization on one-dimensional Inpainting Problem Discontinuous Galerkin Method for Total Variation Minimization on one-dimensional Inpainting Problem

2011-07-20

arxiv.org/abs/1107.3903v1

Mathematics

Numerical Analysis

14 pages, 8 figures

Scientific paper

This paper is concerned with the numerical minimization of energy functionals in $BV(\Omega)$ (the space of bounded variation functions) involving total variation for gray-scale 1-dimensional inpainting problem. Applications are shown by finite element method and discontinuous Galerkin method for total variation minimization. We include the numerical examples which show the different recovery image by these two methods.

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