Title :
A complete parametrization of 2D nonseparable orthonormal wavelets
Author :
Basu, Sankar ; Chiang, Chen-Huei
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Stevens Inst. of Technol., Hoboken, NJ, USA
Abstract :
The problem of constructing compactly supported orthonormal multidimensional (k-D) nonseparable wavelets is considered. A complete solution to the problem of parametrizing all possible two-dimensional (2-D) wavelets having arbitrary degree of regularity is given. These results can be seen as a generalization of the Daubechies (1988) wavelets in two dimensions and go beyond those specific examples constructed by other workers in the field. Previous work on the multidimensional version of the problem does not provide a complete parametrization useful for generating all wavelets of interest
Keywords :
filtering and prediction theory; wavelet transforms; 2D filters; 2D nonseparable orthonormal wavelets; Daubechies wavelets; complete parametrization; regularity; Circuits; Computer science; Equations; Finite impulse response filter; Multidimensional systems; Multiresolution analysis; Polynomials; Reflection; Transfer functions; Wavelet analysis;
Conference_Titel :
Time-Frequency and Time-Scale Analysis, 1992., Proceedings of the IEEE-SP International Symposium
Conference_Location :
Victoria, BC
Print_ISBN :
0-7803-0805-0
DOI :
10.1109/TFTSA.1992.274235
