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.

中文翻译：

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基于凸-非凸变化模型的一类奇异扩散方程用于噪声消除

本文重点讨论噪声消除问题。首先，我们提出了一个新的凸-非凸变分模型来去除噪声，并考虑了该变分模型解的不存在。基于新的变分方法，我们提出了一类奇异扩散方程，并证明了新方程的解和比较规则。最后，实验结果说明了该模型在降噪方面的有效性。