Geometrically Smooth Interpolation by Triangular Bernstein–Bézier Patches With Coalescent Control Points

P.R. Pfluger; M. Neamtu

doi:10.1016/B978-0-12-438660-0.50057-1

Geometrically Smooth Interpolation by Triangular Bernstein–Bézier Patches With Coalescent Control Points

P.R. Pfluger, M. Neamtu

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

Abstract

The problem of interpolating discrete data in ℝ3 is considered. The data consists of positional values and normal vectors. The objective is to interpolate this data by a geometrically smooth (GC1) surface. This is acomplished by exploiting the so called degenerate triangular polynomial patches, which admit a “completely local” interpolation scheme.

Original language	English
Title of host publication	Curves and Surfaces
Editors	Pierre-Jean Laurent, Alain Le Méhauté, Larry L. Schumaker
Publisher	Academic Press
Pages	363-366
Number of pages	4
ISBN (Print)	978-0-12-438660-0
DOIs	https://doi.org/10.1016/B978-0-12-438660-0.50057-1
Publication status	Published - 1 Sept 1991

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10.1016/B978-0-12-438660-0.50057-1

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Geometrically smooth interpolation by triangular Bernstein-Bezier patches with coalescent control points
Neamtu, M., 1990, University of Twente. 6 p. (Memorandum Faculty of Mathematical Sciences; no. 888)
Research output: Book/Report › Report › Professional

Cite this

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title = "Geometrically Smooth Interpolation by Triangular Bernstein–B{\'e}zier Patches With Coalescent Control Points",

abstract = "The problem of interpolating discrete data in ℝ3 is considered. The data consists of positional values and normal vectors. The objective is to interpolate this data by a geometrically smooth (GC1) surface. This is acomplished by exploiting the so called degenerate triangular polynomial patches, which admit a “completely local” interpolation scheme.",

author = "P.R. Pfluger and M. Neamtu",

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Geometrically Smooth Interpolation by Triangular Bernstein–Bézier Patches With Coalescent Control Points. / Pfluger, P.R.; Neamtu, M.
Curves and Surfaces. ed. / Pierre-Jean Laurent; Alain Le Méhauté; Larry L. Schumaker. Academic Press, 1991. p. 363-366.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Geometrically Smooth Interpolation by Triangular Bernstein–Bézier Patches With Coalescent Control Points

AU - Pfluger, P.R.

AU - Neamtu, M.

PY - 1991/9/1

Y1 - 1991/9/1

N2 - The problem of interpolating discrete data in ℝ3 is considered. The data consists of positional values and normal vectors. The objective is to interpolate this data by a geometrically smooth (GC1) surface. This is acomplished by exploiting the so called degenerate triangular polynomial patches, which admit a “completely local” interpolation scheme.

AB - The problem of interpolating discrete data in ℝ3 is considered. The data consists of positional values and normal vectors. The objective is to interpolate this data by a geometrically smooth (GC1) surface. This is acomplished by exploiting the so called degenerate triangular polynomial patches, which admit a “completely local” interpolation scheme.

U2 - 10.1016/B978-0-12-438660-0.50057-1

DO - 10.1016/B978-0-12-438660-0.50057-1

M3 - Conference contribution

SN - 978-0-12-438660-0

SP - 363

EP - 366

BT - Curves and Surfaces

A2 - Laurent, Pierre-Jean

A2 - Le Méhauté, Alain

A2 - Schumaker, Larry L.

PB - Academic Press

ER -

Geometrically Smooth Interpolation by Triangular Bernstein–Bézier Patches With Coalescent Control Points

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Geometrically smooth interpolation by triangular Bernstein-Bezier patches with coalescent control points

Cite this