Smooth interpolation to scattered data by bivariate piecewise polynomials of odd degree

DOI10.1016/0167-8396(90)90007-EzbMath0708.65012OpenAlexW2001104618MaRDI QIDQ920542

R. H. J. Gmelig Meyling, P. R. Pfluger

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1016/0167-8396(90)90007-e

zbMATH Keywords

algorithmtriangulationnumerical examplesquintic splinessmooth interpolationscattered databivariate spline interpolants

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Multidimensional problems (41A63) Spline approximation (41A15)

Related Items

Scattered data interpolation and approximation using bivariate \(C^{1}\) piecewise cubic polynomials ⋮ Fitting scattered data on sphere-like surfaces using spherical splines ⋮ Interpolation by spline spaces on classes of triangulations ⋮ Developments in bivarite spline interpolation

Uses Software

• NAG
• nag
• symrcm

Cites Work

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• A representation of a \(C^ 2\) interpolant over triangles
• A transfinite \(C^ 2\) interpolant over triangles
• \(C^ 1\) surface interpolation for scattered data on a sphere
• Derivative generation from multivariate scattered data by functional minimization
• Approximation by cubic \(C^ 1\)-splines on arbitrary triangulations
• Bounds on the dimension of spaces of multivariate piecewise polynomials
• Cardinal interpolation: A bivariate polynomial example
• An iterative method for computing multivariate \(C^ 1\) piecewise polynomial interpolants
• The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\)
• Polynomial approximation on tetrahedrons in the finite element method
• Interpolation polynomials on the triangle
• An Explicit Basis for $C^1 $ Quartic Bivariate Splines
• Scattered Data Interpolation: Tests of Some Method
• C1 quintic interpolation over triangles: Two explicit representations
• A Nodal Basis for C 1 Piecewise Polynomials of Degree n ≥5