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Numerical Methods and Applications in Total Variation Image Restoration

In: Handbook of Mathematical Methods in Imaging

Author

Listed:
  • Raymond Chan

    (The Chinese University of Hong Kong)

  • Tony Chan

    (University of California Los Angeles)

  • Andy Yip

    (National University of Singapore)

Abstract

Since their introduction in a classic paper by Rudin, Osher, and Fatemi [51],total variation minimizing models have become one of the most popular andsuccessful methodologies for image restoration. New developments continue toexpand the capability of the basic method in various aspects. Many fasternumerical algorithms and more sophisticated applications have been proposed.This chapter reviews some of these recent developments.

Suggested Citation

  • Raymond Chan & Tony Chan & Andy Yip, 2011. "Numerical Methods and Applications in Total Variation Image Restoration," Springer Books, in: Otmar Scherzer (ed.), Handbook of Mathematical Methods in Imaging, chapter 24, pages 1059-1094, Springer.
  • Handle: RePEc:spr:sprchp:978-0-387-92920-0_24
    DOI: 10.1007/978-0-387-92920-0_24
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