In image processing

removal of noise without blurring the image edges is a difficult problem. Typically

noise is characterized by high spatial frequencies in image. A new method for image denoising is proposed on wavelet domain

based on image multiresolution decomposition and anisotropic diffusion filtering. The original image can be regarded as high resolution wavelet sub-sampling one. A functional of preserved lower resolution information is presented. It is used to substitute for wavelet threshold denoising on image. The Euler-Lagrange equations are deduced from the variational principle by the image functional model. Image is denoised and enhanced simultaneously. The numerical schemes of the equation is based on additive operator splitting (AOS) scheme. Some experimental results demonstrate the validity of the new method for image denoising and edge preserving. And this method is also compared with other denoising methods

such as wavelets threshold filtering and anisotropic diffusion filtering. The numerical results of the application on images demonstrate the good performance of the new method.