We consider the problem of G 2 two-point Hermite interpolation by rational cubics. Given two points with unit tangent vectors and consistent signed curvatures, the necessary and sufficient conditions are placed on the weights of the rational cubic curve which ensures that (i) if the data (control po
On bivariate osculatory interpolation
โ Scribed by Xue-Zhang Liang; Luo-Qing Li
- Book ID
- 107988944
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 673 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0377-0427
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The purpose of this paper is to extend several results in the theory of generalized rational approximation. Let X be a compact space and for f ~ C(X) define Ilfll ~ max{Jf(x)l : x E X}. Suppose that P and Q are two finite-dimensional subspaces of C(X). Then, in generalized rational approximation, o
Abstraet--A procedure has been developed for the interpolation of functions defined in two dimensions using the values of the function and its normal derivatives at the boundary. The interpolating functions used are combinations of two classes of radial basis functions. This permits an interpolation