一类可变阶数耦合扩散方程的图像去噪方法  

An image denoising method based on the coupled variable order diffusion equation

作　　者：罗森月 谭志明 

机构地区：[1]广东开放大学/广东理工职业学院基础教学部,广东广州510091

出　　处：《江苏师范大学学报（自然科学版）》2017年第4期53-57,共5页Journal of Jiangsu Normal University：Natural Science Edition

基　　金：广东省普通高校青年创新人才类项目(2015KQNCX243)

摘　　要：引入一类可变阶数耦合偏微分方程的扩散模型,给出一种新的图像去噪方法.使用粘性解方法,建立耦合方程解的存在性定理.借助Canny边界检测算子,对不同参数的计算结果给出分析比较,得出较为合理的参数.将该模型用于图像去噪,结果较为理想.A diffusion model of a new kind of alterable order coupled partial differential equation is introduced.Then a new image denoising method for the model is given.Based on the viscosity solution method,the existence theorem of solution for the coupled equation is established.With the help of Canny boundary detection operator,the reasonable parameters are obtained from the comparison of the results of different parameters.Finally,the proposed model is used for image denoising,in which the results are satisfactory.

关 键 词：偏微分方程 扩散模型 图像去噪 高斯噪声 Alvarez模型 粘性解 

分 类 号：TP751[自动化与计算机技术—检测技术与自动化装置]