Aspects of total variation regularized L 1 function approximation

Tony F. Chan; Selim Esedoglu

doi:10.1137/040604297

Aspects of total variation regularized L ¹ function approximation

Tony F. Chan^*, Selim Esedoglu

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

529 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 language	English (US)
Pages (from-to)	1817-1837
Number of pages	21
Journal	SIAM Journal on Applied Mathematics
Volume	65
Issue number	5
DOIs	https://doi.org/10.1137/040604297
State	Published - 2005
Externally published	Yes

Keywords

Denoising
Scale space
Total variation

ASJC Scopus subject areas

Applied Mathematics

Access to Document

10.1137/040604297

Cite this

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