一类可变阶数耦合扩散方程的图像去噪方法

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.