Degenerate polynomial patches of degree II for almost GC2 interpolation over triangles

Bas J. Hogervorst, B.J. Hogervorst, Rudolf M.J. van Damme

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Abstract

We consider the problem of interpolating scattered data in ℝ3 by analmost geometrically smoothGC2 surface, where almostGC2 meansGC2 except in a finite number of points (the vertices), where the surface isGC1. A local method is proposed, based on employing so-called degenerate triangular Bernstein-Bézier patches. We give an analysis of quintic patches forGC1 and patches of degree eleven for almostGC2 interpolation.
Original languageDutch
Pages (from-to)557-568
Number of pages12
JournalNumerical algorithms
Volume5
Issue number11
DOIs
Publication statusPublished - 1993

Keywords

  • Interpolation
  • METIS-141636
  • IR-85933
  • degenerate patches
  • Approximation by polynomials

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