Alternating minimization method for total variation based wavelet shrinkage model

Tieyong ZENG, Xiaolong Li, Kwok Po NG*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)

Abstract

In this paper, we introduce a novel hybrid variational model which generalizes the classical total variation method and the wavelet shrinkage method. An alternating minimization direction algorithm is then employed. We also prove that it converges strongly to the minimizer of the proposed hybrid model. Finally, some numerical examples illustrate clearly that the new model outperforms the standard total variation method and wavelet shrinkage method as it recovers better image details and avoids the Gibbs oscillations.

Original languageEnglish
Pages (from-to)976-994
Number of pages19
JournalCommunications in Computational Physics
Volume8
Issue number5
DOIs
Publication statusPublished - Nov 2010

Scopus Subject Areas

  • Physics and Astronomy (miscellaneous)

User-Defined Keywords

  • Alternating minimization
  • Convergence
  • Gibbs oscillation
  • Total variation
  • Wavelet shrinkage

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