Title :
Optimal selection of multi-dimensional biorthogonal wavelet bases
Author :
Strintzis, Michael G.
Author_Institution :
Dept. of Electr. & Comput. Eng., Thessaloniki Univ., Greece
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;
Conference_Titel :
Image Processing, 1994. Proceedings. ICIP-94., IEEE International Conference
Conference_Location :
Austin, TX
Print_ISBN :
0-8186-6952-7
DOI :
10.1109/ICIP.1994.413828
