Daubechies提升小波在图像去噪中的仿真研究

Simulation of Image Denoising Based on Daubechies Lifting Scheme Wavelet Transform

在介绍了一般小波理论和小波图像去噪的基础上。重点阐述了提升小波算法(lifting scheme)的基本原理,给出了用提升方法构造传统小波的普遍实现方法,按照提升小波的一般理论,对Daubechies(9/7)小波进行提升格式处理,并将Dau- bechies(9/7)提升格式小波应用到二维图像去噪研究中。计算机仿真试验结果表明,在去掉噪声后图像信号的信噪比相近的情况下,提升小波与传统小波相比,其优点在于计算简单,编程容易,速度快。

This paper introduces the basic concept of the lifting scheme wavelet transform and the noise -reduction principle of wavelet transform, and then the method of constructing Daubechies （ 9/7 ） lifting scheme wavelet is described, by the way, Daubechies （9/7） lifting scheme wavelet is applied to image denoising. Computer simulation illustrates that comparing to general wavelet transform, the lifting scheme wavelets transform has the advantage of easy coding and fast computation.