Abstract: Considering the gray image which is lower contrast and noised, a piecewise linear stretch function is designed and a new mathematical model of Partial Differential Equations(PDE) is contributed using Total Variation(TV) descent. The model controls the extent of denoising and contrast enhancement by setting a parameter, and two image processing technologies are realized. Results of contrast experiments show that the new algorithm can effectively alleviate the disadvantages in traditional methods, noise in gray image is restrain and the contrast is enhanced.

Key words: Partial Differential Equations(PDE), image denoising, contrast enhancement, Total Variation(TV), piecewise linear stretch function

摘要： 针对反差较低且包含噪声污染的灰度图像，设计分段线性拉伸函数，引入TV下降流，建立新的偏微分方程(PDE)数学模型。该模型通过设置参数 灵活控制去噪和反差增强的程度，实现2种灰度图像处理手段的同步进行。对比实验表明，该方法可有效缓解传统处理方法存在的问题，在抑制噪声的同时增强图像的反差。

关键词: 偏微分方程, 图像去噪, 反差增强, 整体变分, 分段线性拉伸函数

CLC Number: 

• TP391