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An iteratively reweighted norm algorithm for minimization of total variation functionals

  • Los Alamos National Laboratory

Research output: Contribution to journalArticlepeer-review

109 Scopus citations

Abstract

Total variation (TV) regularization has become a popular method for a wide variety of image restoration problems, including denoising and deconvolution. A number of authors have recently noted the advantages of replacing the standard ℓ2 data fidelity term with an ℓ1 norm. We propose a simple but very flexible method for solving a generalized TV functional that includes both the ℓ2-TV ℓ1-TV and ℓ2-TV problems as special cases. This method offers competitive computational performance for ℓ2-TV and is comparable to or faster than any other ℓ1-TV algorithms of which we are aware.

Original languageEnglish
Pages (from-to)948-951
Number of pages4
JournalIEEE Signal Processing Letters
Volume14
Issue number12
DOIs
StatePublished - Dec 2007
Externally publishedYes

Keywords

  • Image restoration
  • Inverse problems
  • Regularization
  • Total variation

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