Total variation wavelet thresholding

Tony Chan, Hao Min Zhou*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

36 Scopus citations

Abstract

We propose using Partial Differential Equation (PDE) techniques in wavelet based image processing to remove noise and reduce edge artifacts generated by wavelet thresholding. We employ a variational framework, in particular the minimization of total variation (TV), to select and modify the retained wavelet coefficients so that the reconstructed images have fewer oscillations near edges while noise is smoothed. Numerical experiments show that this approach improves the reconstructed image quality in wavelet compression and in denoising.

Original languageEnglish (US)
Pages (from-to)315-341
Number of pages27
JournalJournal of Scientific Computing
Volume32
Issue number2
DOIs
StatePublished - Aug 1 2007

Keywords

  • Image processing
  • Total variation minimization
  • Wavelet

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Engineering(all)
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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