1 September 1995 Reassigned scalograms and their fast algorithms
Author Affiliations +
Abstract
Reassignment is a technique which consists in moving the computed value of a time-frequency or time-scale energy distribution to a different location in the plane, so as to increase its readability. In the case of scalograms (squared modulus of wavelet transforms), a general form is given for the reassignment operators and their properties are discussed with respect to the chosen wavelet. Characterization of local singularities after reassignment is investigated by simulation and some examples (from mathematics and physics) are presented in order to support the usefulness of the approach. Since reassigning a scalogram amounts to compute two extra wavelet transforms, it is finally shown how this can be achieved in a fast and efficient way within a multiresolution framework.
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Patrick Flandrin, Patrick Flandrin, Eric Chassande-Mottin, Eric Chassande-Mottin, Patrice Abry, Patrice Abry, } "Reassigned scalograms and their fast algorithms", Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); doi: 10.1117/12.217571; https://doi.org/10.1117/12.217571
PROCEEDINGS
12 PAGES


SHARE
RELATED CONTENT

Hyperbolic wavelet function
Proceedings of SPIE (March 26 2001)
Multiplicative and zero-crossing representations of signals
Proceedings of SPIE (October 11 1994)
Spline wavelet transforms II
Proceedings of SPIE (October 23 1996)

Back to Top