Electronic Resource
Springer
Advances in computational mathematics
5 (1996), S. 51-94
ISSN:
1572-9044
Keywords:
Spherical continuous wavelet transform
;
scale discretizations
;
wavelet packets
;
Daubechies wavelets
;
(R-)multiresolution analysis
;
41A58
;
42C15
;
44A35
;
45E99
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A continuous version of spherical multiresolution is described, starting from continuous wavelet transform on the sphere. Scale discretization enables us to construct spherical counterparts to wavelet packets and scale discrete wavelets. The essential tool is the theory of singular integrals on the sphere. It is shown that singular integral operators forming a semigroup of contraction operators of class (C 0) (like Abel-Poisson or Gauß-Weierstraß operators) lead in a canonical way to (pyramidal) algorithms.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02124735
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