Construction of wavelet bases that mimic the behaviour of some given operator
Probably, the most important property of wavelets for signal processing is their multiscale derivative-like behavior when applied to functions. In order to extend the class of problems that can profit of wavelet-based techniques, we propose to build new families of wavelets that behave like an arbitrary scale-covariant operator. Our extension is general and includes many known wavelet bases. At the same time, the method takes advantage a fast filterbank decomposition-reconstruction algorithm. We give necessary conditions for the scale-covariant operator to admit our wavelet construction, and we provide examples of new wavelets that can be obtained with our method.
WOS:000252227400023
2007
978-0-8194-6849-9
Proceedings Of The Society Of Photo-Optical Instrumentation Engineers (Spie); 6701
67010S
Event name | Event place | Event date |
San Diego, CA | Aug 26-29, 2007 | |