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《Journal of Beijing Jiaotong University》 2006-05
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Analysis on 2-D Nonseparable and Isotropic Wavelet Transform

ZHANG Chun-e,QIU Zheng-ding(School of Computer and Information Technology,Beijing Jiaotong University, Beijing 100044,China)  
Compared with 2-D separable wavelet the properties of 2-D nonseparable wavelet are analyzed from the aspects of filter design,sampling and others.For special nonseparable wavelet,a new father-son relationship and modified zero-tree structure are proposed.For 2-D nonseparable wavelet transform,its scale and wavelet functions are nonseparable and isotropic,and it has more progressive scales and more tight energy support.Each subband has more specific frequency feature and could gain better reconstruction.This paper analyzes the properties by experimental data,increasing greatly the image compression performance by the modified zerotree,and also providing guide for 2-D nonseparable wavelet in image processing.
【Fund】: 国家中小型企业创新基金资助项目(04C26213301189);; 北京交通大学创新基金资助项目(2005SM009)
【CateGory Index】: TN713;TN911.73
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3 Shi Ai-ye Xu Li-zhong(College of Computer and Information Engineering,Hohai University,Nanjing 210098,China);Remote-Sensed Images Fusion Using Fuzzy Density Determined Adaptively Based on Wavelet Transform[J];Journal of Electronics & Information Technology;2007-02
4 Zhao ChunhuiLiu ChunhongWang Kecheng(School of Information and Communication, Harbin Engineering University, Harbin 150001);Research on Fusion of Hyperspectral Remote Sensing Image Based on Second Generation Wavelet[J];Acta Optica Sinica;2005-07
5 JIANG Nian-de~(1),2)),WANG Yao-nan~(1))()~(1))(College of Electric & Information Engineering,Hunan University,Changsha 410082)()~(2))(Department of Computer & Communication Engineering,East China Institute of Technology,Fuzhou 344000);A New Method for Image Fusion Based on Principal Component Analysis and Wavelet Transforms[J];Journal of Image and Graphics;2005-07
【Secondary References】
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1 Chai Yong He You Qu Changwen(Research Institute of Information Fusion,Naval Aeronautical Engineering Institute,Yantai 264001);Remote Sensing Image Fusion:Newest Development and Perspective[J];Ship Electronic Engineering;2009-08
2 CHAI Yong,HE You,QU Changwen(Research Institute of Information Fusion,Naval Aeronautical and Astronautical University,Yantai 264001);Remote sensing image fusion using MGA based on cloud and shadow distance model[J];Journal of Image and Graphics;2010-09
3 Liu Bin1,Zhu Qing1,Peng Jiaxiong2(1 School of Mathematics and Computer Science,Hubei University,Wuhan 430062,China;2 Institute of Image Recognition and Artificial Intelligence,Huazhong University of Science and Technology,Wuhan 430074,China);Fusion method of multispectral image based on Red-Black wavelet transform[J];Chinese Journal of Scientific Instrument;2011-02
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