DocumentCode
2117728
Title
Optimal selection of multi-dimensional biorthogonal wavelet bases
Author
Strintzis, Michael G.
Author_Institution
Dept. of Electr. & Comput. Eng., Thessaloniki Univ., Greece
Volume
3
fYear
1994
fDate
13-16 Nov 1994
Firstpage
353
Abstract
The selection is considered of scaling functions for optimal signal representation by multidimensional biorthogonal wavelet frames. Criterion for optimality is the minimization of the mean-square approximation error at each level of the decomposition. Conditions are given under which the approximation error of the decomposition approaches zero as the level increases. Optimal and suboptimal families of filters for the realization of the scaling functions are explicitly defined
Keywords
minimisation; multidimensional digital filters; signal representation; wavelet transforms; decomposition; mean-square approximation error; minimization; multi-dimensional biorthogonal wavelet bases; optimal filters; optimal selection; scaling functions; signal representation; suboptimal filters; wavelet frames; Approximation error; Convergence; Digital filters; Eigenvalues and eigenfunctions; Image analysis; Image reconstruction; Multidimensional systems; Sampling methods; Signal representations; Wavelet analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Image Processing, 1994. Proceedings. ICIP-94., IEEE International Conference
Conference_Location
Austin, TX
Print_ISBN
0-8186-6952-7
Type
conf
DOI
10.1109/ICIP.1994.413828
Filename
413828
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