Osculatory interpolation

DOI10.1016/S0167-8396(01)00052-8zbMath0983.68222OpenAlexW2914171224MaRDI QIDQ5958640

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Publication date: 3 March 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(01)00052-8

zbMATH Keywords

curvatureloopsMathematicaHermite interpolation\(C\)-shaped\(S\)-shapedcuspsinflectionsrational cubics

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (4)

Fair cubic transition between two circles with one circle inside or tangent to the other ⋮ A new basis for osculatory interpolation problems and applications ⋮ \(G^2\) cubic transition between two circles with shape control ⋮ C-shaped \(G^2\) Hermite interpolation by rational cubic Bézier curve with conic precision

Uses Software

• Mathematica

Cites Work

• High accurate rational approximation of parametric curves
• High accuracy geometric Hermite interpolation
• Detecting cusps and inflection points in curves
• Interactive shape preserving interpolation by curvature continuous rational cubic splines
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