Smooth approximation of data on the sphere with splines
โ Scribed by C. R. Traas
- Publisher
- Springer Vienna
- Year
- 1987
- Tongue
- English
- Weight
- 397 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0010-485X
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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
Methods of order 2, and 4 are developed for the continuous approximation of the solution of a two-point boundary value problem involving a fourth order linear differential equation via quintic and sextic spline functions. In three typical numerical examples, the results are briefly summarized to dem