Algorithms for rational Bézier curves

Gerald Farin

doi:10.1016/0010-4485(83)90171-9

Algorithms for rational Bézier curves

Gerald Farin

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

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

144 Scopus citations

Abstract

A recursive algorithm for the evaluation of rational Bézier curves is presented; it consists of a construction that works with a constant cross ratio. This geometric principle is carried over to other algorithms.

Original language	English (US)
Pages (from-to)	73-77
Number of pages	5
Journal	Computer-Aided Design
Volume	15
Issue number	2
DOIs	https://doi.org/10.1016/0010-4485(83)90171-9
State	Published - Mar 1983

Keywords

Bézier curves
rational curves
recursion

ASJC Scopus subject areas

Computer Science Applications
Computer Graphics and Computer-Aided Design
Industrial and Manufacturing Engineering

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10.1016/0010-4485(83)90171-9

Cite this

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title = "Algorithms for rational B{\'e}zier curves",

abstract = "A recursive algorithm for the evaluation of rational B{\'e}zier curves is presented; it consists of a construction that works with a constant cross ratio. This geometric principle is carried over to other algorithms.",

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year = "1983",

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Algorithms for rational Bézier curves

Abstract

Keywords

ASJC Scopus subject areas

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