ISSN:
1432-0940
Keywords:
Key words. Spherical multiresolution analysis, Scaling function, Scale discrete wavelets, Rational wavelets, Exponential wavelets, Orthogonal (Shannon) wavelets, de La Vallée-Poussin wavelets, Exact fully discrete wavelet transform. AMS Classification. 41A58, 42C15, 44A35, 45E99.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract. Based on a new definition of dilation a scale discrete version of spherical multiresolution is described, starting from a scale discrete wavelet transform on the sphere. Depending on the type of application, different families of wavelets are chosen. In particular, spherical Shannon wavelets are constructed that form an orthogonal multiresolution analysis. Finally fully discrete wavelet approximation is discussed in the case of band-limited wavelets.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s003659900087
Permalink