Wavelets and wavelet frames on the 2-sphere
(2006) Proc. Fourth Int. Workshop on Contemporary Problems in Mathematical Physics (Cotonou, Bénin, Nov. 2005) — ISBN: [9812568530], p. 344-362, published
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- Authors
Antoine, Jean-Pierre 
- Abstract
- We review the construction of the continuous wavelet transform (CWT) on the 2-sphere by two methods, the group-theoretical approach and the geometrical method based on conformal invariance. Then we discuss the discretization of the spherical CWT and build associated discrete wavelet frames, first half-continuous ones (only the scale is discretized), then fully discrete ones. To that effect, we generalize the notion of frame, introducing weighted and controlled frames.
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Citations
Antoine, J.-P. (2006). Wavelets and wavelet frames on the 2-sphere. In J.Govaerts, M.N.Hounkonnou, and A.Z.Msezane (eds.) (ed.), Proc. Fourth Int. Workshop on Contemporary Problems in Mathematical Physics (Cotonou, Bénin, Nov. 2005) (p. p. 344-362). World Scientific. https://hdl.handle.net/2078.5/25144