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Towards off-the-grid algorithms for total variation regularized inverse problems

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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https://hal.inria.fr/hal-03196916
Contributor : Romain Petit <>
Submitted on : Tuesday, April 13, 2021 - 12:36:57 PM
Last modification on : Saturday, April 17, 2021 - 3:31:04 AM

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  • HAL Id : hal-03196916, version 1
  • ARXIV : 2104.06706

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Yohann de Castro, Vincent Duval, Romain Petit. Towards off-the-grid algorithms for total variation regularized inverse problems. SSVM 2021 - Eighth International Conference on Scale Space and Variational Methods in Computer Vision, May 2021, Cabourg / Virtual, France. ⟨hal-03196916⟩

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