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# Bill Allard : Some new results on total variation regularization for image processing

Total variation regularization has been used for image denoising and other purposes for about twenty years now. For the last few years I have been studying the geometric and regularity properties of minimizers for the associated variational problems with an eye toward a better understanding of them. In this talk I will describe some new results in this area including results on minimizers for anisotropic total variation. The motivation for this work is that some computational schemes naturally use a polygonal approximation to the standard Euclidean metric to define total variation.

**Category**: Applied Math and Analysis**Duration**: 01:34:52**Date**: October 12, 2009 at 4:25 PM**Views**: 112-
**Tags:**seminar, Elliptic Curves Working Seminar

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