各向异性扩散的迭代停止时间问题研究

各向异性扩散在抑制噪声与保留边缘方面具有良好的性能，它实际上是一个微分迭代的过程，一个重要问题是这种迭代过程何时停止。根据原始图像与噪声的相关信息，应用最小均方误差、信噪比与相关系数最小原则确定微分停止时间。并应用信息论中的熵与互信息，提出了一种基于互信息的微分停止原则。通过实验验证各种微分停止原则的性能，并讨论了它们各自的特点与适用条件。

A Research on Iteration Stopping Time of Anisotropic Diffusion

Anisotropic diffusion has good effect on reducing noise and preserving edge, in fact it's an iterative process. An important question is to decide when the process should be stopped. The stopping time is chosen by minimal mean square error, signal-to-noise ratio and minimal correlation coefficient based on the information of the original (ideal) images and noises. The entropy and mutual information in information theory is adopted to develop a criterion on stopping diffusion process. The performance of the different criterions is proved by experiments, the specialty and the applying condition is also discussed.