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De Casteljau's algorithm
Known as:
De Casteljau algorithm
In the mathematical field of numerical analysis, De Casteljau's algorithm is a recursive method to evaluate polynomials in Bernstein form or Bézier…
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Related topics
Related topics
13 relations
Bernstein polynomial
Bézier curve
Clenshaw algorithm
De Boor's algorithm
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2014
2014
On a generalization of Bernstein polynomials and Bézier curves based on umbral calculus
R. Winkel
Comput. Aided Geom. Des.
2014
Corpus ID: 1358650
2007
2007
Characterizing degrees of freedom for geometric design of developable composite Bézier surfaces
C. Chu
,
Jang-Ting Chen
2007
Corpus ID: 15505712
Highly Cited
2007
Highly Cited
2007
Bézier curves and C2 interpolation in Riemannian manifolds
Tomasz Popiel
,
L. Noakes
J. Approx. Theory
2007
Corpus ID: 5447774
2003
2003
The extension of the dual De Casteljau algorithm
R. Ding
,
Y. Zhang
Proceedings of the Fourth International…
2003
Corpus ID: 61039592
Ruled surface design and its applications are widely used in CAGD (computer aided geometric design) and industrial areas. The…
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Highly Cited
2002
Highly Cited
2002
Toric Surface Patches
R. Krasauskas
Adv. Comput. Math.
2002
Corpus ID: 2179692
We define a toric surface patch associated with a convex polygon, which has vertices with integer coordinates. This rational…
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2001
2001
Singularities of rational Bézier curves
J. Monterde
Comput. Aided Geom. Des.
2001
Corpus ID: 9794291
Highly Cited
2000
Highly Cited
2000
Curve and surface construction using variable degree polynomial splines
P. Costantini
Comput. Aided Geom. Des.
2000
Corpus ID: 3165101
Highly Cited
1999
Highly Cited
1999
The De Casteljau Algorithm on Lie Groups and Spheres
P. Crouch
,
G. Kun
,
F. Leite
1999
Corpus ID: 59437106
AbstractWe examine the De Casteljau algorithm in the context of Riemannian symmetric spaces. This algorithm, whose classical form…
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Highly Cited
1996
Highly Cited
1996
Properties of two types of generalized ball curves
Shi Hu
,
Guozhao Wang
,
T. Jin
Comput. Aided Des.
1996
Corpus ID: 204983160
Highly Cited
1994
Highly Cited
1994
A generalized de Casteljau approach to 3D free-form deformation
Yu-Kuang Chang
,
A. Rockwood
SIGGRAPH
1994
Corpus ID: 14224097
This paper briefly presents an efficient and intuitive 3D free-form deformation approach based on iterative affine…
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