Simultaneous cartoon and texture reconstruction for image restoration by bivariate function

You-Wei WEN*, Raymond H. CHAN, Wai Ki CHING

*Corresponding author for this work

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

2 Citations (Scopus)

Abstract

We study the simultaneous cartoon and texture reconstruction problem. We propose a new model to approximate the cartoon and texture part by a sparse linear combination of some bases. A bivariate function is employed as the cost function. One of the variables is the decomposition image and the other is the sparse representation of the decomposition image. An alternating minimization algorithm is used to solve the minimization problem. We prove that the algorithm converges for both the l1-norm and the l0-norm. Numerical simulations are given to illustrate the efficiency of our method.

Original languageEnglish
Pages (from-to)1275-1289
Number of pages15
JournalApplicable Analysis
Volume90
Issue number8
Early online date22 Sept 2010
DOIs
Publication statusPublished - Aug 2011
Externally publishedYes

Funding

Research supported in part by NSFC Grant No. 60702030, NSF of Guangdong Grant No. 9251064201000009, CUHK400508 and the Wavelets and Information Processing Programme of the Centre for Wavelets, Approximation and Information Processing and Temasek Laboratories, National University of Singapore, Singapore.

Keywords

  • Cartoon
  • Image
  • Sparse
  • Texture
  • Total variation

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