THE CONTINUOUS WAVELET TRANSFORM ON CONIC SECTIONS
- ANTOINE, JEAN-PIERRE Institut de Physique Théorique (FYMA), Université Catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium
- BOGDANOVA, I. University of Neuchâtel, Institute of Microtechnology, Pattern Recognition Lab., Rue A.-L. Breguet 2, CH-2000 Neuchâtel, Switzerland
- VANDERGHEYNST, P. Signal Processing Institute, Swiss Federal Institute of Technology, EPFL, Station 11, CH-1015 Lausanne, Switzerland
- 2011-11-21
Published in:
- International Journal of Wavelets, Multiresolution and Information Processing. - World Scientific Pub Co Pte Lt. - 2008, vol. 06, no. 02, p. 137-156
English
We review the coherent state (or group-theoretical) construction of the continuous wavelet transform (CWT) on the two-sphere. Next, we describe the construction of a CWT on the upper sheet of a two-sheeted hyperboloid, emphasizing the similarities between the two cases. Finally, we give some indications on the CWT on a paraboloid and we introduce a unified approach to the CWT on conic sections.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1142/s0219691308002288
- ISSN 0219-6913
- Persistent URL
- https://sonar.ch/global/documents/37786
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