用于图像去噪的改进型非线性扩散方程  

Modified nonlinear diffusion equation for noise removal

作　　者：丛维[1] 郭定辉[1] 

机构地区：[1]北京航空航天大学理学院,北京100083

出　　处：《计算机应用》2008年第7期1764-1765,1775,共3页journal of Computer Applications

基　　金：国家自然科学基金资助项目(10571010)

摘　　要：修改一类图像处理用的非线性扩散方程模型的扩散系数函数,使所获得的新模型能够在考虑到图像梯度以及二阶导数的情况下,用于去除图像高梯度噪声并保持图像边缘细节。实验表明,该新模型能够在保持图像中有意义的尖峰和窄边缘的同时,消除高梯度噪声。A diffusion coefficient function of nonlinear diffusion equation was modified for processing image so that the modified model can remove the high gradient noise of the image and preserve the edge details of the image while considering the gradient and second derivative of the image. Experiments have shown that the modified model is capable of getting rid of the noises efficiently and preserving the edge locality and stronger peaks and thin edges while removing the high gradient noise of the image.

关 键 词：图像去噪 边缘保持 非线性扩散方程 扩散系数函数 高斯函数 

分 类 号：TN911.73[电子电信—通信与信息系统]