Aspects of total variation regularized L 1 function approximation

Tony Chan*, Selim Esedoglu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

452 Scopus citations

Abstract

The total variation-based image denoising model of Rudin, Osher, and Fatemi [Phys. D, 60, (1992), pp. 259-268] has been generalized and modified in many ways in the literature; one of these modifications is to use the L 1-norm as the fidelity term. We study the interesting consequences of this modification, especially from the point of view of geometric properties of its solutions. It turns out to have interesting new implications for data-driven scale selection and multiscale image decomposition.

Original languageEnglish (US)
Pages (from-to)1817-1837
Number of pages21
JournalSIAM Journal on Applied Mathematics
Volume65
Issue number5
DOIs
StatePublished - Nov 25 2005

Keywords

  • Denoising
  • Scale space
  • Total variation

ASJC Scopus subject areas

  • Applied Mathematics

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