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Abstract:We introduce an algorithm to solve linear inverse problems regularized with the total (gradient) variation in a gridless manner. Contrary to most existing methods, that produce an approximate solution which is piecewise constant on a fixed mesh, our approach exploits the structure of the solutions and consists in iteratively constructing a linear combination of indicator functions of simple polygons.
* Eighth International Conference on Scale Space and Variational
Methods in Computer Vision (SSVM), May 2021, Cabourg, France