A class of singular diffusion equations based on the convex–nonconvex variation model for noise removal-Reference-Cited by-同舟云学术

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

Published:2021-01-19 Issue:1 Volume:2021 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Dong Gang,Wu Boying

Abstract

AbstractThis 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.

Funder

National Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13661-021-01485-x.pdf

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