A representation of a \(C^ 2\) interpolant over triangles

DOI10.1016/0167-8396(86)90024-5zbMath0626.65006OpenAlexW2075801642MaRDI QIDQ580872

Tracy Whelan

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0167-8396(86)90024-5

zbMATH Keywords

scattered dataBernstein-Bézier formcomputer aided geometric designB-net methodbivariate interpolantcomparison of schemescondensed schemesnonic piecewise polynomial

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Approximation by polynomials (41A10)

Related Items

Cardinal interpolation: A bivariate polynomial example ⋮ A bivariate \(C^ 3\) interpolation scheme ⋮ Quasi-interpolation scheme for arbitrary dimensional scattered data approximation based on natural neighbors and RBF interpolation ⋮ Smooth interpolation to scattered data by bivariate piecewise polynomials of odd degree ⋮ A characterization of certain \(C^{2}\) discrete triangular interpolants ⋮ Fitting scattered data on sphere-like surfaces using spherical splines ⋮ Interpolation with \(C^2\) quartic macro-elements based on \(10\)-splits ⋮ Micro-genetic approach for surface meshing on a set of unorganized points ⋮ Developments in bivarite spline interpolation

Uses Software

• REDUCE

Cites Work

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• A transfinite \(C^ 2\) interpolant over triangles
• Derivative generation from multivariate scattered data by functional minimization
• Surfaces in computer aided geometric design: A survey with new results
• Scattered Data Interpolation: Tests of Some Method
• C1 quintic interpolation over triangles: Two explicit representations