Planar \(C^{2}\) cubic spline interpolation under geometric boundary conditions

DOI10.1016/S0167-8396(02)00091-2zbMath0995.68142OpenAlexW2160401199MaRDI QIDQ1603813

P. D. Kaklis, Alexandros I. Ginnis

Publication date: 15 July 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(02)00091-2

zbMATH Keywords

end conditionscurve designcubic spline interpolationgeometric boundary conditionsBessel end conditionsnot-a-knot end conditionsquadratic boundary conditionstype-I end conditionstype-II end conditions

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Cites Work

• Convexity-preserving interpolatory parametric splines of non-uniform polynomial degree
• High accurate rational approximation of parametric curves
• Automatic fairing algorithm for B-spline curves
• High accuracy geometric Hermite interpolation
• Exponential spline interpolation
• Inequalities on the Elements of the Inverse of a Certain Tridiagonal Matrix
• Geometric Hermite interpolation for space curves
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