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

14 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.

Keywords

Bézier curve
de Casteljau algorithm
geometry
recursive curve scheme
subdivision

Publisher link

10.1016/0010-4485(88)90018-8

Find It

Find It at U of M Libraries

Cite this

@article{1e7422143c3c47a8b39e394fe1062671,

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.",

year = "1988",

month = apr,

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

language = "English (US)",

volume = "20",

pages = "114--116",

journal = "CAD Computer Aided Design",

issn = "0010-4485",

publisher = "Elsevier Limited",

number = "3",

}

TY - JOUR

T1 - De Casteljau-type subdivision is peculiar to Bézier curves

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.

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

UR - http://www.scopus.com/inward/record.url?scp=0023997156&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023997156&partnerID=8YFLogxK

U2 - 10.1016/0010-4485(88)90018-8

DO - 10.1016/0010-4485(88)90018-8

M3 - Article

AN - SCOPUS:0023997156

VL - 20

SP - 114

EP - 116

JO - CAD Computer Aided Design

JF - CAD Computer Aided Design

SN - 0010-4485

IS - 3

ER -

De Casteljau-type subdivision is peculiar to Bézier curves

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Cite this