Analysis of a New Fractional Variational Model for Image Noise Removal
In this paper,a new variational model based on fractional-order partial differential is proposed to remove noise.This paper analyzes the mathematical property of the proposed model,and proves the existence and uniqueness of weak solutions for the variational model on fractional-order bounded variation space.Numerical analysis and Matlab simulation are also implemented,the experimental results demonstrate that the proposed model doesnt only have better denoising ability than some existing integer-order and fractional-order variational models,but also preserved better the textural details and eliminated obviously the staircase effect.
Fractional-order derivative space of functions of fractional bounded variation calculus of variation image denoising existence uniqueness
Jing Zhang Fan Cheng Xuegang Hu
College of Mathematics and Physics,Chongqing University of Posts and Telecommunications,Chongqing 40 Hangzhou City Data Operation Corporation,Hangzhou 310002,China
国际会议
西安
英文
337-347
2018-09-21（万方平台首次上网日期，不代表论文的发表时间）