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Wavelets on the 2-sphere and related manifolds

✍ Scribed by Antoine, J.-P.; Vandergheynst, P.

Book ID: 120649707
Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 864 KB
Volume: 43
Category: Article
ISSN: 0034-4877
DOI: 10.1016/S0034-4877(99)80011-1

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We present a purely group-theoretical derivation of the continuous wavelet transform (CWT) on the 2-sphere S 2 , based on the construction of general coherent states associated to square integrable group representations. The parameter space X of our CWT is the product of SO(3) for motions and R + \*

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We continue the analysis of the continuous wavelet transform on the 2-sphere, introduced in a previous paper. After a brief review of the transform, we define and discuss the notion of directional spherical wavelet, i.e., wavelets on the sphere that are sensitive to directions. Then we present a cal