SIAM Journal on Imaging Sciences, Volume 13, Issue 2, Page 844-870, January 2020.
In this work, a gray level indicator-based nonlinear telegraph diffusion model is presented for image despeckling. Most of the researchers focus only on diffusion equation-based filter for multiplicative noise removal process. The proposed technique uses the benefit of the combined effect of diffusion equation as well as the wave equation. The wave nature of the system preserves the high oscillatory and texture patterns in an image. In this model, the diffusion coefficient depends not only on the image gradient but also on the gray level of the image, which controls the diffusion process better than only gradient-based diffusion approaches. Moreover, we prove the well-posedness of the present system using the Schauder fixed point theorem. Furthermore, we show the superiority of the proposed method over three recently developed methods on a set of gray level test images corrupted by speckle noise and check the noise removal capability of the present technique over some real SAR images corrupted by speckle noise with different noise levels.

中文翻译：

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基于灰度指标的正则电报扩散模型：在图像去斑中的应用

SIAM影像科学杂志，第13卷，第2期，第844-870页，2020年1月。
在这项工作中，提出了一种基于灰度指标的非线性电报扩散模型，用于图像去斑。大多数研究人员只专注于基于扩散方程的滤波器，用于乘法噪声去除过程。所提出的技术利用了扩散方程和波动方程的综合效果。系统的波动特性可保留图像中的高振荡和纹理图案。在此模型中，扩散系数不仅取决于图像梯度，还取决于图像的灰度，与仅基于梯度的扩散方法相比，扩散系数更好地控制了扩散过程。此外，我们使用Schauder不动点定理证明了本系统的适定性。此外，