摘要： 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。

关键词: 离散小波变换, 阈值, 偏微分方程, 图像去噪

Abstract: Wavelet and Partial Differential Equation(PDE) are the main methods in removing image noise. Image noise is removed by making use of discrete wavelet threshold transform. The expression form of PDE based on wavelet threshold is obtained. It adapts the method of fractional steps wavelet shrinkage for the solution of PDE based on above approach. It can receive better effect of image denoising and attain the purpose of preserving edge and smoothing noise. Experimental results show that the new method can obtain better effect and higher SNR than wavelet method.

Key words: discrete wavelet transform, threshold, Partial Differential Equation(PDE), image denoising

中图分类号: 

• TP391