Total variation minimization in compressed sensing

Felix Krahmer, Christian Kruschel, Michael Sandbichler

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

18 Scopus citations

Abstract

This chapter gives an overview over recovery guarantees for total variation minimization in compressed sensing for different measurement scenarios. In addition to summarizing the results in the area, we illustrate why an approach that is common for synthesis sparse signals fails and different techniques are necessary. Lastly, we discuss a generalization of recent results for Gaussian measurements to the subgaussian case.

Original languageEnglish
Title of host publicationApplied and Numerical Harmonic Analysis
PublisherSpringer International Publishing
Pages333-358
Number of pages26
Edition9783319698014
DOIs
StatePublished - 2017

Publication series

NameApplied and Numerical Harmonic Analysis
Number9783319698014
ISSN (Print)2296-5009
ISSN (Electronic)2296-5017

Keywords

  • Compressed sensing
  • Gradient sparsity
  • Total variation minimization

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