基于B样条小波的偏微分方程图像去噪方法

提出一种基于B样条小波的偏微分方程图像去噪方法.先对图像进行B样条小波变换,将得到的高频系数采用偏微分方程方法去噪,迭代次数采用去相关最优停止准则进行控制;将得到的低频系数进行阈值处理,阈值选取采用基于信息熵的阈值选择策略,然后对处理后的小波系数进行B样条小波逆变换,得到去噪后的图像.数值实验表明,改进算法能克服B样条小波变换与偏微分方程去噪的不足,增强去噪能力,同时有效保护图像边缘和细节信息.

Image De-noising Method of PDE Based on B-Spline Wavelet

The de-noising method of partial differential equations based on B-spline wavelet is proposed.The noisy image is processed by B-spline wavelet transform at first,then the high-frequency coefficients are processed by Partial Differential Equations method,and the iteration times are controlled by optimal stopping criterion of decorrelation.The low-frequency coefficients are processed by threshold method,and the threshold are selected by the strategy based on the information entropy.The de-noised image can be obtained after the inversion of B-spline wavelet transform.Numerical experiments show that the improved algorithm can overcome the lack of the B-spline wavelet transform and partial differential equations,enhance de-noising capacity,and protect the image edges and details effectively.