A class of singular diffusion equations based on the convex–nonconvex variation model for noise removal

Boundary Value Problems

Gang Dong¹  Boying Wu² 

[1] Department of Applied Mathematics, Harbin University of Science and Technology;School of Mathematics, Harbin Institute of Technology;

关键词: Convex–nonconvex variation;    Forward–backward diffusion equation;    Noise removal;   

DOI  :  10.1186/s13661-021-01485-x

来源: DOAJ

【 摘 要 】

Abstract This paper focuses on the problem of noise removal. First, we propose a new convex–nonconvex variation model for noise removal and consider the nonexistence of solutions of the variation model. Based on the new variation method, we propose a class of singular diffusion equations and prove the of solutions and comparison rule for the new equations. Finally, experimental results illustrate the effectiveness of the model in noise reduction.

【 授权许可】

Unknown