Reassigned scalograms and their fast algorithms

Patrick Flandrin; Eric Chassande-Mottin; Patrice Abry

doi:10.1117/12.217571

1 September 1995 Reassigned scalograms and their fast algorithms

Patrick Flandrin, Eric Chassande-Mottin, Patrice Abry

Proceedings Volume 2569, Wavelet Applications in Signal and Image Processing III; (1995) https://doi.org/10.1117/12.217571
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

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.

Citation Download Citation

Patrick Flandrin, Eric Chassande-Mottin, and Patrice Abry "Reassigned scalograms and their fast algorithms", Proc. SPIE 2569, Wavelet Applications in Signal and Image Processing III, (1 September 1995); https://doi.org/10.1117/12.217571

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