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  • 标题:A class of singular diffusion equations based on the convex–nonconvex variation model for noise removal
  • 本地全文:下载
  • 作者:Gang Dong ; Boying Wu
  • 期刊名称:Boundary Value Problems
  • 印刷版ISSN:1687-2762
  • 电子版ISSN:1687-2770
  • 出版年度:2021
  • 卷号:2021
  • 期号:1
  • 页码:1
  • DOI:10.1186/s13661-021-01485-x
  • 出版社:Hindawi Publishing Corporation
  • 摘要: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.
  • 关键词:Convex–nonconvex variation ; Forward–backward diffusion equation ; Noise removal
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