A quotient space approximation model of multiresolution signal analysis

被引：40

作者：

Zhang, L ^{[1
]}

Zhang, B

机构：

[1] Anhui Univ, Artificial Intelligence Inst, Hefei 230039, Peoples R China

[2] Tsing Hua Univ, Dept Comp Sci, State Key Lab Intelligent Technol & Syst, Beijing 100084, Peoples R China

来源：

JOURNAL OF COMPUTER SCIENCE AND TECHNOLOGY | 2005年 / 20卷 / 01期

关键词：

multi-resolution; signal analysis; wavelet transform; quotient space; the second-generation wavelets;

D O I：

10.1007/s11390-005-0010-8

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we present a quotient space approximation model of multiresolution signal analysis and discuss the properties and characteristics of the model. Then the comparison between wavelet transform and the quotient space approximation is made. First, when wavelet transform is viewed from the new quotient space approximation perspective, it may help us to gain an insight into the essence of multiresolution signal analysis. Second, from the similarity between wavelet and quotient space approximations, it is possible to transfer the rich wavelet techniques into the latter so that a new way for multiresolution analysis may be found.

引用

页码：90 / 94

页数：5

共 14 条

[1] Multiresolution analysis and supercompact multiwavelets [J].

Beam, RM ;

Warming, RF .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2000, 22 (04) :1238-1268

[2] Wavelet footprints: Theory, algorithms, and applications [J].

Dragotti, PL ;

Vetterli, M .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2003, 51 (05) :1306-1323

[3] A new framework for complex wavelet transforms [J].

Fernandes, FCA ;

van Spaendonck, RLC ;

Burrus, CS .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2003, 51 (07) :1825-1837

[4] COMPUTATIONAL EXPERIMENTS WITH A FEATURE BASED STEREO ALGORITHM [J].

GRIMSON, WEL .

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1985, 7 (01) :17-34

[5] Multiresolution histograms and their use for recognition [J].

Hadjidemetriou, E ;

Grossberg, MD ;

Nayar, SK .

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2004, 26 (07) :831-847

[6]

Hall E. L., 1976, Proceedings of the 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes, P791

[7] Raising multiwavelet approximation order through lifting [J].

Keinert, F .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2001, 32 (05) :1032-1049

[8]

KOENDERINK JJ, 1984, BIOL CYBERNETICS

[9]

MALLAT S, 1989, IEEE T PATTERN ANAL, V11, P7

[10] Wavelets and signal processing [J].

Rioul, Olivier ;

Vetterli, Martin .

IEEE SIGNAL PROCESSING MAGAZINE, 1991, 8 (04) :14-38

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