小波方法和偏微分方程方法是图像去噪中的主要方法。该文提出基于离散小波变换对图像进行阈值去噪，得出了小波阈值的偏微

分方程表示形式，在此基础上研究偏微分方程的解法，采用分数步的小波阈值方法对图像去噪，得到了较好的去噪效果，同时可以保护边

缘。数值试验结果表明，该方法具有比小波方法更好的去噪效果，能获得较高的信噪比-Wavelet method and partial differential equations is the main method of image denoising. In this paper, based on discrete wavelet transform image threshold denoising, wavelet threshold obtained indicated that the form of partial differential equations, in this study based on the solution of partial differential equations, using fractional steps of wavelet thresholding methods for image to noise, have been well de-noising effect at the same time can protect the edge. Numerical experimental results show that the method is better than the wavelet method for denoising results are able to obtain a higher signal to noise ratio