A fractional coupled system for simultaneous image denoising and deblurring

Gholami Bahador F., Mokhtary P., Lakestanı M.

Computers and Mathematics with Applications, cilt.128, ss.285-299, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 128
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.camwa.2022.10.025
  • Dergi Adı: Computers and Mathematics with Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, INSPEC, MathSciNet, Metadex, MLA - Modern Language Association Database, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.285-299
  • Anahtar Kelimeler: Chest X-ray images, Image deblurring, Image denoising, Poisson noise, Shock filter, Time-fractional diffusion equation
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

Simultaneous image denoising and deblurring is a challenging issue because noise and edges are both high-frequency signals, and eliminating noise while enhancing edges counteracts each other. In this paper, we deal with this difficulty by designing a novel coupled time-fractional diffusion along with a fractional shock filter and developing a powerful discretization approach. The discretization process is based on the finite difference and L1 approximations for integer and fractional order derivatives, respectively. This scheme not only removes noise and sharpens edges efficiently, but also weakens the staircase effect. The stability analysis of the proposed scheme is also investigated. The experimental results show that the proposed approach outperforms other related approaches and can be applied to large-scale and chest X-Ray images.