Aspects of total variation regularized L 1 function approximation

Tony F. Chan*, Selim Esedoglu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

521 Scopus citations


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
Issue number5
StatePublished - 2005
Externally publishedYes


  • Denoising
  • Scale space
  • Total variation

ASJC Scopus subject areas

  • Applied Mathematics


Dive into the research topics of 'Aspects of total variation regularized L 1 function approximation'. Together they form a unique fingerprint.

Cite this