一类改进的PDE模型在图像去噪和分割中的应用

利用变分原理研究了图像能量泛函的极小值问题所对应的一类改进的偏微分（PDE）模型．通过对偏微分方程的研究，从形式上分析得到方程的解即结果图像，在去噪后与初始图像有较小的偏差，很好地保持了初始图像所具有的特征．实验结果验证了这种分析结果的正确性，并且得到在去噪时间相同的条件下，结果图像要比以往的模型较好．在分割处理上，结果图像也有较好的分割效果．

An Improved PDE Model in Image Denoising and Segmentation

Utilizing variational approach,an improved PDE model which derives from a minimum problem of an image energy function in image denoising and segmentation is studied.After an analysis of the PDE model,we have found that the processed image is a closer approximation of the original image and that it maintains characters of the original image.The following experiment proves its rightness and the processed image is better than the processed image from the other PDE model.Certainly,the PDE model also has better ...