Wavelet inpainting by nonlocal total variation

Xiaoqun Zhang*, Tony Chan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

69 Scopus citations

Abstract

Wavelet inpainting problem consists of filling in missed data in the wavelet domain. In [17], Chan, Shen, and Zhou proposed an efficient method to recover piecewise constant or smooth images by combining total variation regularization and wavelet representations. In this paper, we extend it to nonlocal total variation regularization in order to recover textures and local geometry structures simultaneously. Moreover, we apply an efficient algorithm framework for both local and nonlocal regularizers. Extensive experimental results on a variety of loss scenarios and natural images validate the performance of this approach.

Original languageEnglish (US)
Pages (from-to)191-210
Number of pages20
JournalInverse Problems and Imaging
Volume4
Issue number1
DOIs
StatePublished - Jan 1 2010

Keywords

  • Inverse problems
  • Nonlocal total variation
  • Wavelet inpainting

ASJC Scopus subject areas

  • Analysis
  • Modeling and Simulation
  • Discrete Mathematics and Combinatorics
  • Control and Optimization

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