Multilevel algorithm for a Poisson noise removal model with total-variation regularization

Raymond H. CHAN, Ke CHEN*

*Corresponding author for this work

Research output: Journal PublicationsJournal Article (refereed)peer-review

47 Citations (Scopus)

Abstract

Many commonly used models for the fundamental image processing task of noise removal can deal with Gaussian white noise. However, such Gaussian models are not effective in restoring images with Poisson noise, which is ubiquitous in certain applications. Recently, Le-Chartrand-Asaki derived a new data-fitting term in the variational model for Poisson noise. This paper proposes a multilevel algorithm for efficiently solving this variational model. As expected of a multilevel method, it delivers the same numerical solution many orders of magnitude faster than the standard single-level method of coordinate descent time-marching. Supporting numerical experiments on 2D gray scale images are presented.

Original languageEnglish
Pages (from-to)1183-1198
Number of pages16
JournalInternational Journal of Computer Mathematics
Volume84
Issue number8
DOIs
Publication statusPublished - Aug 2007
Externally publishedYes

Keywords

  • Image restoration
  • Multilevel methods
  • Nonlinear solvers
  • Poisson noise
  • Regularization

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