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基于整数小波变换与快速递推GCV的静止图像去噪
引用本文:朱童,张立保,余先川.基于整数小波变换与快速递推GCV的静止图像去噪[J].光电子.激光,2009(6).
作者姓名:朱童  张立保  余先川
作者单位:北京师范大学信息科学与技术学院;
基金项目:国家自然科学基金资助项目(60602035);;国家“863”计划资助项目(2007AA12Z156)
摘    要:基于整数小波提出一种用于自然景物图像去噪的快速递推广义交叉验证(FR-GCV)算法,首先对图像做整数小波变换(IWT),计算小波图像中小波系数的分布概率,然后利用整数递推,降低了GCV函数计算复杂度。最后通过小波系数下采样和阈值上界限定进一步降低了算法复杂度。实验结果表明,FR-GCV算法对自然景物图像去噪耗时比GCV算法降低了90%以上。FR-GCV算法能够快速求取去噪最优阈值,在静止图像去噪领域具有较强的实际意义。

关 键 词:小波阈值  图像去噪  整数小波变换(IWT)  广义交叉验证(GCV)  

Still image denoising based on integer wavelet transform and fast recurrent generalized cross validation
ZHU Tong,ZHANG Li-bao,YU Xian-chuan.Still image denoising based on integer wavelet transform and fast recurrent generalized cross validation[J].Journal of Optoelectronics·laser,2009(6).
Authors:ZHU Tong  ZHANG Li-bao  YU Xian-chuan
Affiliation:College of Information Science and Technology;Beijing Normal University;Beijing 100875;China
Abstract:A computationally efficient fast recurrent generalized cross validation(FR-GCV) algorithm for natural image denoising is presented based on integer wavelet transform.Firstly the integer grey-scale pixels are transformed into integer wavelet coefficient,And its distribution is calculated.Then the fast recurrent procedure based on integer wavelet coefficient is applied,which takes full advantage of the relevance between GCV functions under adjacent thresholds.In addition,the FR-GCV algorithm further reduces t...
Keywords:wavelet threshold  image denoising  integer wavelet transform  generalized cross validation  GCV  
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