基于方向小波变换的高斯噪声图像恢复方法

1、 992 吉 林 大 学 学 报 (理 学 版 第 48卷 图 5 3 幅测试原图像 ( A ( C及加噪 图像 ( D ( F F ig . 5 T hree or iginal i m age s ( A ( C and corrup ted i m ages ( D ( F 图 6 标 准小波阈值去噪结果 ( A ( C和方向小波阈值去噪结果 ( D ( F F ig. 6 Resu lts of th reshold denoising m e thod based on the standard wavelet transfor m ( A ( C and results of th

2、reshold denoising m ethod based on th e d irectional wave let tran sfor m ( D ( F 图 7 标 准小波相关去噪结果 ( A ( C和方向小波相关去噪结果 ( D ( F F ig . 7 Re su lts of correlation denoising m e thod based on the standard wavele t transfor m ( A ( C and resu lts of correlation deno ising m ethod based on th e d irectiona

3、l wave let tran sform ( D ( F 第 6期 张 震 , 等 : 基于方向小波变换的高斯噪声图像 恢复方法 993 综上, 本文提出了一种基于方向小波变换的图像去噪方法 , 通过引入基于栅格理论的取样方法, 解决了离散域中沿任意给定方向进行变换的问题, 保留了标准小波变换可分离性和低计算复杂度的特 点 , 捕捉方向信息的能力更强 ; 去噪过程将基于标准小波变换的阈值及相关去噪方法运用于方向小波 变换中 , 突破了标准小波变换仅沿固定方向变换去噪的限制, 有利于削弱 G ibbs效应 , 对去噪后图像 的边界保护具有积极作用 . 实验结果表明, 本文方法去噪效果明显优于对

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