Title :
A new hierarchical scheme for approximating the continuous wavelet transform with applications to edge detection
Author :
Berkner, Kathrin ; Wells, Raymond O.
Author_Institution :
Ricoh Silicon Valley Inc., Menlo Park, CA, USA
Abstract :
We propose an approximation of a continuous wavelet transform (CWT) that 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 multiscale edge detection.
Keywords :
approximation theory; edge detection; wavelet transforms; continuous wavelet transform approximation; fast discrete wavelet transform; hierarchical scheme; multiscale edge detection; scale redundancy; singularities; time redundancy; Continuous wavelet transforms; Discrete wavelet transforms; Distributed computing; Image edge detection; Information analysis; Kernel; Redundancy; Wavelet coefficients; Wavelet domain; Wavelet transforms;
Journal_Title :
Signal Processing Letters, IEEE
