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\(C^ 1\) trivariate polynomial interpolation

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Publication:1099573
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DOI10.1016/0167-8396(87)90015-XzbMath0638.65007OpenAlexW2058866113MaRDI QIDQ1099573

K. L. Rescorla

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0167-8396(87)90015-x


zbMATH Keywords

interpolationVandermonde matrixcontinuously differentiabletetrahedrontrivariate polynomial


Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05)


Related Items (5)

Surfaces in computer aided geometric design: A survey with new results ⋮ Cardinal interpolation: A bivariate polynomial example ⋮ \(C^ 1\) trivariate polynomial interpolation ⋮ Approximating constrained tetrahedrizations ⋮ Two tetrahedral \(C^1\) cubic macro elements



Cites Work

  • Three- and four-dimensional surfaces
  • Multistage trivariate surfaces
  • A trivariate Clough-Tocher scheme for tetrahedral data
  • A discrete \(C^ 1\) interpolant for tetrahedral data
  • Derivative generation from multivariate scattered data by functional minimization
  • \(C^ 1\) trivariate polynomial interpolation
  • Multivariate Perpendicular Interpolation


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