Interpolation on the hypersphere with Thiele type rational interpolants
type: Item
instance of: scholarly article
title: Interpolation on the hypersphere with Thiele type rational interpolants
zbMATH Open document ID: 1248.41009
author: Thierry Gensane
published in: Numerical Algorithms
publication date: 2012-07-31T00:00:00Z
review text: 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 \(2n\).
reviewed by: Antonio López-Carmona
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A20
zbMATH DE Number: 6062522
zbMATH Keywords: interpolation on a hypersphere
zbMATH Keywords: Thiele type rational interpolant
zbMATH Keywords: Samelson inverse
MaRDI profile type: Publication
full work available at URL: s11075-011-9528-8
OpenAlex ID: W2011432715
cites work: An algebraic approach to curves and surfaces on the sphere and on other quadrics
cites work: Rational interpolation on a hypersphere
cites work: Vector valued rational interpolants. I
DOI: 10.1007/S11075-011-9528-8
description: scientific article; zbMATH DE number 6062522