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

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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.

Original languageEnglish
Title of host publicationScale Space and Variational Methods in Computer Vision - 8th International Conference, SSVM 2021, Proceedings
EditorsAbderrahim Elmoataz, Jalal Fadili, Yvain Quéau, Julien Rabin, Loïc Simon
PublisherSpringer Science and Business Media Deutschland GmbH
Pages553-564
Number of pages12
ISBN (Print)9783030755485
DOIs
Publication statusPublished - 1 Jan 2021
Externally publishedYes
Event8th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2021 - Virtual, Online
Duration: 16 May 202120 May 2021

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12679 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference8th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2021
CityVirtual, Online
Period16/05/2120/05/21

Keywords

  • Inverse problems
  • Off-the-grid imaging
  • Total variation

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