中文摘要：

噪声是图像获取、传输和储存过程中不可避免的现象。去噪作为图像处理的首要步骤与基本问题是后续的高层次图像处理的基础。以加性高斯白噪声为例，综述了P-M扩散方程及TV模型的原理，并从视觉与定量指标两个方面比较了去噪效果。最后，在热扩散方程模型预处理条件下比较了两种模型的去噪效果。

英文摘要：

Noise is inevitable phenomenon in the process of image acquisition, transmission and storage. As the first step and the basic problem of image processing, denoising is the foundation of subsequent high level image processing. This paper, taking the additive white Gaussian noise as an example, summarizes the principle of the P-M diffusion equation and TV model, and compared the denoising effect from two aspects of visual and quantitative indicators. Finally, under the condition of pretreatment of thermal diffusion equation model, it compared the effect of denoising of the two models.