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Towards Off-the-grid Algorithms for Total Variation Regularized Inverse Problems

Authors
  • De Castro, Yohann
  • Duval, Vincent
  • Petit, Romain
Publication Date
Nov 09, 2021
Source
HAL
Keywords
Language
English
License
Unknown
External links

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.

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