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A Construction of C1-Wavelets on the Two-Dimensional Sphere

✍ Scribed by Ilona Weinreich

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
204 KB
Volume
10
Category
Article
ISSN
1063-5203

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✦ Synopsis

In this paper a construction of C 1 -wavelets on the two-dimensional sphere is presented. First, we focus on the construction of a multiresolution analysis leading to C 1 -functions on S 2 . We show refinability of the constructed tensor product generators. Second, for the wavelet construction we employ a factorization of the refinement matrices which leads to refinement matrices characterizing complement spaces. With this method we achieve an initial stable completion. A desired stable completion can be gained by lifting the initial stable completion. The result is a biorthogonal wavelet basis leading to C 1 -functions on the sphere.

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