Title :
A fast approximation to the continuous wavelet transform with applications
Author :
Berkner, Kathrin ; Wells, Raymond O., Jr.
Author_Institution :
Dept. of Math., Rice Univ., Houston, TX, USA
Abstract :
We propose an approximation of a continuous wavelet transform (CWT) which is based on a hierarchical scheme, similar to the fast discrete wavelet transform. This approximation keeps redundancies in time and scale. Furthermore, it preserves properties of the CWT regarding the characterization of singularities and leads to efficient applications in detection and characterization of singularities.
Keywords :
approximation theory; filtering theory; signal processing; wavelet transforms; continuous wavelet transform; fast approximation; fast discrete wavelet transform; hierarchical scheme; scale redundancy; singularities characterisation; time redundancy; Continuous wavelet transforms; Discrete wavelet transforms; Filters; Image edge detection; Mathematics; Redundancy; Wavelet analysis; Wavelet coefficients; Wavelet domain; Wavelet transforms;
Conference_Titel :
Signals, Systems & Computers, 1997. Conference Record of the Thirty-First Asilomar Conference on
Conference_Location :
Pacific Grove, CA, USA
Print_ISBN :
0-8186-8316-3
DOI :
10.1109/ACSSC.1997.679101
