Image deblurring using adaptive fractional-order shock filter

Irandoust-pakchin S., Babapour S., Lakestanı M.

Mathematical Methods in the Applied Sciences, cilt.44, sa.6, ss.4907-4922, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 6
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/mma.7076
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.4907-4922
  • Anahtar Kelimeler: deblurring, fractional differential equation, image processing, PDE-based image restoration, shock filter
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, a novel image enhancement model based on shock filter for image deblurring is proposed in three cases. For the weight of shock filter, the fractional-order derivative of initial blurry image is used. This fractional-order weight can be adjusted adaptively according to the gradient of blurred image. Compared with the traditional integer-order shock filter, the proposed model creates less staircase effect, whereas the enhancement and deblurring of the resulted images are efficiently good. Stability properties of the proposed method are studied theoretically, and also to show the validity of stability studies results, some numerical experiments are presented. The three cases of proposed method are compared with together and with other methods. Different test images are used to show the validity of these cases. Numerical experiments confirm the efficiency of these cases.