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A New Fast Algorithm for Constrained Four-Directional Total Variation Image Denoising Problem

Author

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  • Fan Liao
  • Jean Louis Coatrieux
  • Jiasong Wu
  • Huazhong Shu

Abstract

A new four-directional total variation (4-TV) model, applicable to isotropic and anisotropic TV functions, is proposed for image denoising. A dual based fast gradient projection algorithm for the constrained 4-TV image denoising problem is also reported which combines the well-known gradient projection and the fast gradient projection methods. Experimental results show that this model provides in most cases a better signal to noise ratio when compared to previous models like the reference TV, the total generalized variation, and the nonlocal total variation.

Suggested Citation

  • Fan Liao & Jean Louis Coatrieux & Jiasong Wu & Huazhong Shu, 2015. "A New Fast Algorithm for Constrained Four-Directional Total Variation Image Denoising Problem," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, February.
    • Handle: RePEc:hin:jnlmpe:815132
    DOI: 10.1155/2015/815132
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