THE CONTINUOUS WAVELET TRANSFORM ON CONIC SECTIONS-Reference-Cited by-同舟云学术

THE CONTINUOUS WAVELET TRANSFORM ON CONIC SECTIONS

Published:2008-03 Issue:02 Volume:06 Page:137-156
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

ANTOINE JEAN-PIERRE¹,BOGDANOVA I.²,VANDERGHEYNST P.³

Affiliation:

1. Institut de Physique Théorique (FYMA), Université Catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium

2. University of Neuchâtel, Institute of Microtechnology, Pattern Recognition Lab., Rue A.-L. Breguet 2, CH-2000 Neuchâtel, Switzerland

3. Signal Processing Institute, Swiss Federal Institute of Technology, EPFL, Station 11, CH-1015 Lausanne, Switzerland

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691308002288

Reference34 articles.

1. Coherent States, Wavelets and Their Generalizations

2. Wavelets on the n-sphere and related manifolds

3. Wavelets on the 2-Sphere: A Group-Theoretical Approach

4. Wavelets on the sphere: implementation and approximations

5. Two-Dimensional Wavelets and their Relatives

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