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Nonlinear PDE operators with memory terms for image processing

机译:带有存储项的非线性PDE算子用于图像处理

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摘要

A model of selective filters based on anisotropic nonlinear diffusion is proposed for image enhancement. In this model the processed image can be obtained on the asymptotic states of its solution. The diffusion tensor is chosen to change dynamically in such a way as to process the image without affecting its interesting features. The proposed anisotropic diffusion can be classed as a nonstandard Volterra equation. Experimental results are shown on test and medical images, which illustrate the ability of our model to detect fine objects in a noisy image.
机译:提出了一种基于各向异性非线性扩散的选择性滤波器模型,用于图像增强。在该模型中,可以在其解的渐近状态下获得处理后的图像。选择扩散张量以在不影响其有趣特征的情况下处理图像的方式动态变化。提出的各向异性扩散可以归类为非标准的Volterra方程。实验结果显示在测试图像和医学图像上,这些图像说明了我们的模型检测嘈杂图像中精细物体的能力。

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