研究了在偏微分方程理论框架下进行图像去噪的方法，重点对二阶和四阶偏微分方程的主要去噪方法进行了分析。二阶偏微方程模型中的 P -M 模型能很好地去除噪声，但时常会出现块状现象；四阶偏微分方程模型中Y -K模型能消除阶梯效应但会出现斑点现象。使用Gilboa扩散系数、中值滤波器和高斯平滑算子对Y -K模型进行改进。实验证明，新模型减少了迭代次数，提高了算法效率，也一定程度上避免了块状及斑点现象。%This paper studied the theoretical framework of the partial differential equations for image denoising method , the second and fourth order partial differential equations of the main denoising method were discussed and a new algo-rithm .The P-M model of the second order partial differential equations denoised well ,but them led to a"massive phenom-enon ".The Y-K model of the fourth order partial differential equations eliminate the step effect but will appear the speck-le phenomenon .A new model introduced is proposed that the Y-K model is improved by using The diffusion coefficient of Gilboa ,median filter and Gaussian smoothing operator .A large extent ,the new model proved to reduce the number of it-erations ,but also to some extent to avoid a "massive phenomenon "and the speckle .
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