Tighter convex hulls for rational Bézier curves

Gerald Farin

doi:10.1016/0167-8396(93)90015-U

Tighter convex hulls for rational Bézier curves

Gerald Farin

Computing and Augmented Intelligence, School of (IAFSE-SCAI)

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We show how the convex hull of a rational Bézier curve can be tightened over the standard convex hull of the control polygon.

Original language	English (US)
Pages (from-to)	123-125
Number of pages	3
Journal	Computer Aided Geometric Design
Volume	10
Issue number	2
DOIs	https://doi.org/10.1016/0167-8396(93)90015-U
State	Published - Apr 1993

Keywords

Rational Bézier curves
control vectors.
convex hull

ASJC Scopus subject areas

Modeling and Simulation
Automotive Engineering
Aerospace Engineering
Computer Graphics and Computer-Aided Design

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10.1016/0167-8396(93)90015-U

Cite this

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title = "Tighter convex hulls for rational B{\'e}zier curves",

abstract = "We show how the convex hull of a rational B{\'e}zier curve can be tightened over the standard convex hull of the control polygon.",

keywords = "Rational B{\'e}zier curves, control vectors., convex hull",

author = "Gerald Farin",

note = "Funding Information: This researchw as supportedi n part by NSF grantD DM-9123527A rizona StateU niversity.",

year = "1993",

month = apr,

doi = "10.1016/0167-8396(93)90015-U",

language = "English (US)",

volume = "10",

pages = "123--125",

journal = "Computer Aided Geometric Design",

issn = "0167-8396",

publisher = "Elsevier B.V.",

number = "2",

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T1 - Tighter convex hulls for rational Bézier curves

AU - Farin, Gerald

N1 - Funding Information: This researchw as supportedi n part by NSF grantD DM-9123527A rizona StateU niversity.

PY - 1993/4

Y1 - 1993/4

N2 - We show how the convex hull of a rational Bézier curve can be tightened over the standard convex hull of the control polygon.

AB - We show how the convex hull of a rational Bézier curve can be tightened over the standard convex hull of the control polygon.

KW - Rational Bézier curves

KW - control vectors.

KW - convex hull

UR - https://www.scopus.com/pages/publications/0027578107

UR - https://www.scopus.com/pages/publications/0027578107#tab=citedBy

U2 - 10.1016/0167-8396(93)90015-U

DO - 10.1016/0167-8396(93)90015-U

M3 - Article

AN - SCOPUS:0027578107

SN - 0167-8396

VL - 10

SP - 123

EP - 125

JO - Computer Aided Geometric Design

JF - Computer Aided Geometric Design

IS - 2

ER -

Tighter convex hulls for rational Bézier curves

Abstract

Keywords

ASJC Scopus subject areas

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