Interpolation on the hypersphere with Thiele type rational interpolants
The author studies the use the Generalized Inverse Rational Fractions defined by Graves-Morris and and to use them for interpolating (Generalized Inverse Rational Interpolants GIRI) for finding interpolant curves on the hypersphere \(S^{d-1}\). The solution of degree \(2n\) can be generated with an inverse stereographic projection of a (\(d-1\))-dimensional GIRI of degree \(2n\).
scientific article; zbMATH DE number 6062522