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

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

doi:10.1007/BF02113891

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

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

Faculty of Science and Technology

Research output: Contribution to journal › Article › Academic

3 Citations (Scopus)

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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 language	Dutch
Pages (from-to)	557-568
Number of pages	12
Journal	Numerical algorithms
Volume	5
Issue number	11
DOIs	https://doi.org/10.1007/BF02113891
Publication status	Published - 1993

Keywords

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

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10.1007/BF02113891

Hogervorst_10.1007_BF02113891

Cite this

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title = "Degenerate polynomial patches of degree II for almost GC2 interpolation over triangles",

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-B{\'e}zier patches. We give an analysis of quintic patches forGC1 and patches of degree eleven for almostGC2 interpolation.",

keywords = "Interpolation, METIS-141636, IR-85933, degenerate patches, Approximation by polynomials",

author = "Hogervorst, {Bas J.} and B.J. Hogervorst and {van Damme}, {Rudolf M.J.}",

year = "1993",

doi = "10.1007/BF02113891",

language = "Dutch",

volume = "5",

pages = "557--568",

journal = "Numerical algorithms",

issn = "1017-1398",

publisher = "Springer Netherlands",

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TY - JOUR

T1 - Degenerate polynomial patches of degree II for almost GC2 interpolation over triangles

AU - Hogervorst, Bas J.

AU - Hogervorst, B.J.

AU - van Damme, Rudolf M.J.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

KW - Interpolation

KW - METIS-141636

KW - IR-85933

KW - degenerate patches

KW - Approximation by polynomials

U2 - 10.1007/BF02113891

DO - 10.1007/BF02113891

M3 - Article

SN - 1017-1398

VL - 5

SP - 557

EP - 568

JO - Numerical algorithms

JF - Numerical algorithms

IS - 11

ER -