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<p>In this paper, we focus on the numerical analysis of image denoising equation descended from the Perona-Malik equation, with the addition of a Leray-Lions operator. Utilizing established a priori estimates, we showcase the convergence of the approximate solutions through the application of compactness arguments tailored to address degenerate parabolic problems. Some numerical results are presented using example images demonstrating the efficacy and robustness of our model.</p>

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Finite volume scheme for nonlinear image denoising

  • 期刊论文

  • 发表日期：

    2025年4月11日

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  • Hicham El Moutaouakil,
  • Mohamed Rhoudaf

摘要

In this paper, we focus on the numerical analysis of image denoising equation descended from the Perona-Malik equation, with the addition of a Leray-Lions operator. Utilizing established a priori estimates, we showcase the convergence of the approximate solutions through the application of compactness arguments tailored to address degenerate parabolic problems. Some numerical results are presented using example images demonstrating the efficacy and robustness of our model.