Surfaces over Dirichlet tessellations

Gerald Farin

Research output: Contribution to journalArticle

95 Citations (Scopus)

Abstract

We develop a new class of surfaces, based on the concept of Bézier simplices expressed in terms of Sibson's natural neighbor coordinates. We also show how these surfaces may be utilized for scattered data interpolation.

Original languageEnglish (US)
Pages (from-to)281-292
Number of pages12
JournalComputer Aided Geometric Design
Volume7
Issue number1-4
DOIs
StatePublished - 1990

Fingerprint

Tessellation
Dirichlet
Scattered Data Interpolation
Interpolation
Class
Concepts

Keywords

  • Bézier simplices
  • Dirichlet tessellation
  • scattered data interpolation

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Geometry and Topology
  • Modeling and Simulation

Cite this

Surfaces over Dirichlet tessellations. / Farin, Gerald.

In: Computer Aided Geometric Design, Vol. 7, No. 1-4, 1990, p. 281-292.

Research output: Contribution to journalArticle

Farin, Gerald. / Surfaces over Dirichlet tessellations. In: Computer Aided Geometric Design. 1990 ; Vol. 7, No. 1-4. pp. 281-292.
@article{84796b1a1a2d415b8692994983b8e11c,
title = "Surfaces over Dirichlet tessellations",
abstract = "We develop a new class of surfaces, based on the concept of B{\'e}zier simplices expressed in terms of Sibson's natural neighbor coordinates. We also show how these surfaces may be utilized for scattered data interpolation.",
keywords = "B{\'e}zier simplices, Dirichlet tessellation, scattered data interpolation",
author = "Gerald Farin",
year = "1990",
doi = "10.1016/0167-8396(90)90036-Q",
language = "English (US)",
volume = "7",
pages = "281--292",
journal = "Computer Aided Geometric Design",
issn = "0167-8396",
publisher = "Elsevier",
number = "1-4",

}

TY - JOUR

T1 - Surfaces over Dirichlet tessellations

AU - Farin, Gerald

PY - 1990

Y1 - 1990

N2 - We develop a new class of surfaces, based on the concept of Bézier simplices expressed in terms of Sibson's natural neighbor coordinates. We also show how these surfaces may be utilized for scattered data interpolation.

AB - We develop a new class of surfaces, based on the concept of Bézier simplices expressed in terms of Sibson's natural neighbor coordinates. We also show how these surfaces may be utilized for scattered data interpolation.

KW - Bézier simplices

KW - Dirichlet tessellation

KW - scattered data interpolation

UR - http://www.scopus.com/inward/record.url?scp=0025439845&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025439845&partnerID=8YFLogxK

U2 - 10.1016/0167-8396(90)90036-Q

DO - 10.1016/0167-8396(90)90036-Q

M3 - Article

VL - 7

SP - 281

EP - 292

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

SN - 0167-8396

IS - 1-4

ER -