Rational interpolation on a hypersphere

DOI10.1016/S0167-8396(98)00027-2zbMath0908.68177MaRDI QIDQ1274590

Anton Gfrerrer

Publication date: 12 January 1999

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

zbMATH Keywords

rational curveinterpolation on a hypersphereinterpolation of spherical motionsinterpolation on a sphere

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Numerical interpolation (65D05) Algorithms for approximation of functions (65D15)

Related Items (6)

The shape of spherical quartics ⋮ Hermite \(G^1\) rational spline motion of degree six ⋮ Interpolation on the hypersphere with Thiele type rational interpolants ⋮ On \(\mathcal{C}^2\) rational motions of degree six ⋮ Construction of \(G^{3}\) rational motion of degree eight ⋮ Path splines with circle envelopes

Cites Work

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• About the construction of rational curves and surfaces on quadrics
• An algebraic approach to curves and surfaces on the sphere and on other quadrics
• The sphere as a rational Bézier surface
• Rational motion design -- a survey
• Rational patches on quadric surfaces

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