Title
On de Casteljau's algorithm
Abstract
Within the last 20 years de Casteljau's algorithms became a fundamental tool in CAGD. His idea of control points and his geometric view of polar forms gave an immediate insight to how these tools work and control points are so effective in their applications in car and ship design, in aircraft industry as well as in medical and geological representations. This paper is meant to give some historical remarks and a short introduction to de Casteljau's powerful and worldwide used method. It also includes simple proofs.
Year
DOI
Venue
1999
10.1016/S0167-8396(99)00023-0
Computer Aided Geometric Design
Keywords
Field
DocType
polar forms,blossoming,de casteljau,bézier curves,focal curves,splines,de casteljau algorithm,bezier curves
Spline (mathematics),Aircraft industry,Computer Aided Design,De Casteljau's algorithm,Mathematical proof,Bézier curve,Free form,Naval architecture,Calculus,Mathematics
Journal
Volume
Issue
ISSN
16
7
Computer Aided Geometric Design
Citations 
PageRank 
References 
12
0.90
0
Authors
2
Name
Order
Citations
PageRank
Wolfgang Boehm1120.90
Andreas Müller2120.90