A total variable-order variation model for image denoising

被引：10
作者：
Hakim, Abdelilah [1 ]
Ben-Loghfyry, Anouar [1 ]
机构：
[1] Univ Cadi Ayyad, Fac Sci & Technol, LAMAI Lab, Marrakech, Morocco
来源：
AIMS MATHEMATICS | 2019年 / 4卷 / 05期
关键词：
fractional derivative; total variation; image denoising; primal dual; finite difference; DIFFUSION;
D O I：
10.3934/math.2019.5.1320
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we explore a new variational model based on the fractional derivative and total variation. Due to some metrics, our approach shows great results compared to other competitive models. In particular, deleting the noise and preserving edges, features and corners are headlights to our approach. For the fractional variable-order derivatives, different discretizations were presented to comparison. The theoretical results are validated by the Primal Dual Projected Gradient (PDPG) Algorithm which is well adapted to the fractional calculus.
引用
收藏
页码：1320 / 1335
页数：16
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