Abstract：Interpolation problem on the sphere has applications in geodesy,
earth science and other fields. In this paper, we present an
axiomatic approach to vector-valued rational interpolation. In order
to interpolate $mn+m+n+1$ ($m, n$ are even) points on the unit
hypersphere $S^{d-1}$ with a bivariate Thiele type rational
function, the construction process of it is based on the Samelson
inverse for vectors. We generalize Thiele type rational interpolants
on the hypersphere of Thierry Gensane and give the numerical example
to show validity of interpolant.
Qiushi Wang;Shuo Tang. Bivariate Interpolation on the Hypersphere with Thiele Type Rational Interpolants[J]. , 2014, 11(11): 3873-3881.
Qiushi Wang;Shuo Tang. Bivariate Interpolation on the Hypersphere with Thiele Type Rational Interpolants. , 2014, 11(11): 3873-3881.
2014, Vol. 11 
