图像处理的非线性扩散方法

Nonlinear Diffusion Methods in Image Processing

摘要:

介绍了非线性扩散方法的原理和数学性质；对图像处理领域的非线性扩散方法进行了分类和总结,并探讨了各类方法的优缺点；同时从平滑去噪与保留图像特征点之间的矛盾、结构的封闭性、不连续点的保留以及参数简化等方面指出了非线性扩散方法的发展趋势和亟待解决的问题。

Abstract:

In this paper, the theory and mathematical properties of the nonlinear diffusion methods was introduced and a overview of the different algorithms in image processing was gives. At last, the tendency and open problems of nonlinear diffusion was pointed out the from the aspects including the contradictions of image denoising and feature preserving, closing of structures, preservation of discontinuities and parameter simplification.