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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, Department of Mathematics)

  • Tony F. Chan

    (Hong Kong University of Science and Technology, Office of the President)

  • Andy Yip

    (Hong Kong Baptist University, Department of Mathematics)

Abstract

Since their introduction in a classic paper by Rudin, Osher, and Fatemi (Physica D 60:259–268, 1992), total variation minimizing models have become one of the most popular and successful methodologies for image restoration. New developments continue to expand the capability of the basic method in various aspects. Many faster numerical algorithms and more sophisticated applications have been proposed. This chapter reviews some of these recent developments.

Suggested Citation

  • Raymond Chan & Tony F. Chan & Andy Yip, 2015. "Numerical Methods and Applications in Total Variation Image Restoration," Springer Books, in: Otmar Scherzer (ed.), Handbook of Mathematical Methods in Imaging, edition 2, pages 1501-1537, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4939-0790-8_24
    DOI: 10.1007/978-1-4939-0790-8_24
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