An adaptive model combining a total variation filter and a fractional-order filter for image restoration. (March 2019)

• Record Type: Journal Article
• Authors: Yang, Yafeng; Zhao, Donghong
• Is Part Of: Journal of algorithms & computational technology. Volume 13(2019)
• Publication Date: 2019-03
• Subjects: Image restoration -- total variation model -- Euler–Lagrange equation -- fractional-order variation model -- primal-dual hybrid gradient algorithm; Computer algorithms -- Periodicals; Numerical calculations -- Periodicals; Computer algorithms; Numerical calculations; Periodicals; 518.1
• DOI: 10.1177/1748301819833054
• Languages: English
• ISSNs: 1748-3018

Abstract

In this paper, we propose a model that combines a total variation filter with a fractional-order filter, which can unite the advantages of the two filters, and has a remarkable effect in the protection of image edges and texture details; simultaneously, the proposed model can eliminate the staircase effect. In addition, the model improves the PSNR compared with the total variation filter and the fractional-order filter when removing noise. Zhu and Chan presented the primal-dual hybrid gradient algorithm and proved that it is effective for the total variation filter. On the basis of their work, we employ the primal-dual hybrid gradient algorithm to solve the combined model in this article. The final experimental results show that the new model and algorithm are effective for image restoration.