De Casteljau-type subdivision is peculiar to Bézier curves

P. J. Barry; R. N. Goldman

doi:10.1016/0010-4485(88)90018-8

De Casteljau-type subdivision is peculiar to Bézier curves

P. J. Barry, R. N. Goldman

Computer Science and Engineering

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

12 Scopus citations

Abstract

One nice property of Bézier curves is that not only can the de Casteljau algorithm be used for evaluation, it can also be used for subdivision. It is shown here that this property is not shared with other members of the wide class of curves which possess evaluation algorithms similar in kind to the de Casteljau algorithm.

Original language	English (US)
Pages (from-to)	114-116
Number of pages	3
Journal	Computer-Aided Design
Volume	20
Issue number	3
DOIs	https://doi.org/10.1016/0010-4485(88)90018-8
State	Published - Apr 1988

Bibliographical note

Funding Information:
The research reported here was partially funded by the Natural Sciences and Engineering Council of Canada, the University of Waterloo and Control Data Corporation.

Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.

Keywords

Bézier curve
de Casteljau algorithm
geometry
recursive curve scheme
subdivision

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10.1016/0010-4485(88)90018-8

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title = "De Casteljau-type subdivision is peculiar to B{\'e}zier curves",

abstract = "One nice property of B{\'e}zier curves is that not only can the de Casteljau algorithm be used for evaluation, it can also be used for subdivision. It is shown here that this property is not shared with other members of the wide class of curves which possess evaluation algorithms similar in kind to the de Casteljau algorithm.",

keywords = "B{\'e}zier curve, de Casteljau algorithm, geometry, recursive curve scheme, subdivision",

author = "Barry, {P. J.} and Goldman, {R. N.}",

note = "Funding Information: The research reported here was partially funded by the Natural Sciences and Engineering Council of Canada, the University of Waterloo and Control Data Corporation. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

year = "1988",

month = apr,

doi = "10.1016/0010-4485(88)90018-8",

language = "English (US)",

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AU - Barry, P. J.

AU - Goldman, R. N.

N1 - Funding Information: The research reported here was partially funded by the Natural Sciences and Engineering Council of Canada, the University of Waterloo and Control Data Corporation. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1988/4

Y1 - 1988/4

N2 - One nice property of Bézier curves is that not only can the de Casteljau algorithm be used for evaluation, it can also be used for subdivision. It is shown here that this property is not shared with other members of the wide class of curves which possess evaluation algorithms similar in kind to the de Casteljau algorithm.

AB - One nice property of Bézier curves is that not only can the de Casteljau algorithm be used for evaluation, it can also be used for subdivision. It is shown here that this property is not shared with other members of the wide class of curves which possess evaluation algorithms similar in kind to the de Casteljau algorithm.

KW - Bézier curve

KW - de Casteljau algorithm

KW - geometry

KW - recursive curve scheme

KW - subdivision

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De Casteljau-type subdivision is peculiar to Bézier curves

Abstract

Bibliographical note

Keywords

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