Combined Shearlet Shrinkage and Total Variation Minimization for Image Denoising

Mousavi Z., Lakestanı M., Razzaghi M.

Iranian Journal of Science and Technology, Transaction A: Science, cilt.42, sa.1, ss.31-37, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s40995-017-0327-5
  • Dergi Adı: Iranian Journal of Science and Technology, Transaction A: Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.31-37
  • Anahtar Kelimeler: Additive operator splitting, Image denoising, Image processing, Shearlet, Total variation
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, a TV-based shearlet shrinkage is proposed for discontinuity-preserving denoising using a combination of shearlet with a total variation scheme. For TV denoising numerical procedure, we use two approaches. In the first approach, we apply semi-implicit method for total variation. To solve Euler–Lagrange equation associated with total variation, we use additive operator splitting (AOS) scheme. This approach has good effect on suppressing the pseudo-Gibbs and shearlet-like artifacts and is very efficient for reducing iterations. In the second approach, we use Split Bregman iteration method. This techniques converges very quickly and in combine by shearlet shrinkage produce good results.