Polyharmonic Approximation on the Sphere
โ Scribed by T. Hangelbroek
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 461 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0176-4276
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We consider the problem of approximately reconstructing a function __f__ defined on the surface of the unit sphere in the Euclidean space โ^__q__ +1^ by using samples of __f__ at scattered sites. A central role is played by the construction of a new operator for polynomial approximation
We continue the analysis of the continuous wavelet transform on the 2-sphere, introduced in a previous paper. After a brief review of the transform, we define and discuss the notion of directional spherical wavelet, i.e., wavelets on the sphere that are sensitive to directions. Then we present a cal