Image decomposition combining staircase reduction and texture extraction

Tony F. Chan, Selim Esedoglu, Frederick E. Park*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

105 Scopus citations


This paper proposes a natural and efficient way to achieve staircase reduction in texture extraction models of image processing. Moreover, we propose a precise framework for this amalgamation. In a sense, we utilize the best of both worlds: (I) the use of higher order derivatives through a variant of the Chambolle-Lions inf convolution energy (an image decomposition model in itself) along with (II) approximations to Meyer's G and E norms including the H-1 negative norm for ameliorating staircasing in image decomposition and restoration problems.

Original languageEnglish (US)
Pages (from-to)464-486
Number of pages23
JournalJournal of Visual Communication and Image Representation
Issue number6
StatePublished - Dec 2007
Externally publishedYes


  • Denoising
  • Dual methods
  • Image decomposition
  • Oscillating patterns
  • Staircase reduction
  • Texture

ASJC Scopus subject areas

  • Signal Processing
  • Media Technology
  • Computer Vision and Pattern Recognition
  • Electrical and Electronic Engineering


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