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基于层间和层内相关性的局域自适应双变量收缩小波去噪
引用本文:邓承志,汪胜前,刘祝华,王忠华,邹道文.基于层间和层内相关性的局域自适应双变量收缩小波去噪[J].江西师范大学学报(自然科学版),2005,29(1):37-41.
作者姓名:邓承志  汪胜前  刘祝华  王忠华  邹道文
作者单位:1. 江西省光电子与通信重点实验室,江西师范大学,南昌,330027
2. 江西科技师范学院,应用物理系,南昌,330013
基金项目:国家自然科学基金资助项目(60462003),江西省自然科学基金资助项目(0412008).
摘    要:图像小波系数存在很大的相关性.该文考虑到小波系数层间相关性,引入双变量概率分布模型.基于贝叶斯估计理论,得到了相应的非线性阈值函数(双变量收缩函数).基于小波系数层内相关性,利用双变量收缩作者提出了局域自适应收缩去噪算法.在实验中,将该文去噪结果与Donoho‘s hard thresholding、BayesShrink和HMT作了比较,实验结果显示该文算法能获得更好的去噪效果.

关 键 词:局域  自适应  变量  小波去噪  小波系数  显示  去噪算法  阈值函数  图像  贝叶斯估计

Locally Adaptive Bivariate Shrinkage Wavelet Denoising Based on Inter-and Intra-scale Dependency
DENG Cheng-zhi,WANG Sheng-qian,LIU Zhu-hua,WANG Zhong-hua,ZOU Dao-wen.Locally Adaptive Bivariate Shrinkage Wavelet Denoising Based on Inter-and Intra-scale Dependency[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2005,29(1):37-41.
Authors:DENG Cheng-zhi  WANG Sheng-qian  LIU Zhu-hua  WANG Zhong-hua  ZOU Dao-wen
Institution:DENG Cheng-zhi~1,WANG Sheng-qian~1,LIU Zhu-hua~2,WANG Zhong-hua~1,ZOU Dao-wen~2
Abstract:There are strong dependencies between wavelet coefficients of images.In this paper,considering inter- scale dependency,we introduced a bivariate probability distribution model. The corresponding nonlinear threshold functions (bivariate shrinkage function) are derived from the model using the Bayesian estimation theory. And then, based on the intra-scale dependency we present a locally adaptive denoising algorithm using the bivariate shrinkage function. We compare this algorithm with the Donoho's hard thresholding, BayesShrink and HMT. Experimental results show this algorithm can receive better denoising results.
Keywords:Denoising  bivariate shrinkage  statistical model  inter-and intra-scale dependency
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