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Nonstationary Wavelets on them-Sphere for Scattered Data by Francis J. Narcowich; Joseph D. Ward is a Computer Science article available to read on EtoBox.
What is Nonstationary Wavelets on them-Sphere for Scattered Data about?
We construct classes of nonstationary wavelets generated by what we call spherical basis functions, which comprise a subclass of Schoenberg's positive definite functions on the m-sphere. The wavelets are intrinsically defined on the m-sphere and are independent of the choice of coordinate system. In addition, they may be orthogonalized easily, if desired. We will discuss decomposition, reconstruction, and localization for these wavelets. In the special case of the 2-sphere, we derive an uncertainty principle that expresses the trade-off between localization and the presence of high harmonics-or high frequencies-in expansions in spherical harmonics. We discuss the application of this principle to the wavelets that we construct.
Who reads Nonstationary Wavelets on them-Sphere for Scattered Data?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- Francis J. Narcowich; Joseph D. Ward
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 1063-5203)
- Published
- 1996
- Language
- EN
- Field
- Computer Science (Physical Sciences)