| P-M与TV模型在加性高斯白噪声去噪中的比较研究 |
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| 引用本文： | 杨巧,李五强,韩国栋.P-M与TV模型在加性高斯白噪声去噪中的比较研究[J].渭南师范学院学报,2014(15):5-10. |
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| 作者姓名： | 杨巧 李五强 韩国栋 |
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| 作者单位： | 陕西师范大学数学与信息科学学院,西安710062 |
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| 基金项目： | 国家自然科学基金项目：非线性算子方程变号解的局部与全局特性（11101253）;中央高校基本科研业务费：非线性算子方程的变号解与分歧（GK201301007） |
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| 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。
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| 关 键 词： | 图像去噪 P-M扩散方程 TV模型 热扩散方程 |
A Comparative Stu dy betwe n P-M and TV Models In Additive White Gaussian Noise Denoising |
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| YANG Qiao,LI Wu-qiang,HAN Guo-dong.A Comparative Stu dy betwe n P-M and TV Models In Additive White Gaussian Noise Denoising[J].Journal of Weinan Teachers College,2014(15):5-10. |
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| Authors: | YANG Qiao LI Wu-qiang HAN Guo-dong |
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| Institution: | (Institute of Mathematics and Information Science, Shaanxi Normal University, Xi＇ an 710062, China) |
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| Abstract: | 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. |
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| Keywords: | image denoising P-M diffusion equation Total Variation （TV） model thermal diffusion equation |
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