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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… Expand
Wikipedia

Related topics

Related topics

13 relations
Bernstein polynomialBézier curveClenshaw algorithmDe Boor's algorithm
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
De Casteljau's algorithm on manifolds
This paper proposes a generalization of the ordinary de Casteljau algorithm to manifold-valued data including an important… Expand
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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… Expand
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Highly Cited
2002
Highly Cited
2002
Toric Surface Patches
We define a toric surface patch associated with a convex polygon, which has vertices with integer coordinates. This rational… Expand
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Highly Cited
2000
Highly Cited
2000
Curve and surface construction using variable degree polynomial splines
Abstract The aim of this paper is to describe applications of variable degree polynomials in the area of curve and surface… Expand
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Highly Cited
1999
Highly Cited
1999
On de Casteljau's algorithm
Within the last 20 years de Casteljau's algorithms became a fundamental tool in CAGD. His idea of control points and his… Expand
Highly Cited
1999
Highly Cited
1999
The De Casteljau Algorithm on Lie Groups and Spheres
AbstractWe examine the De Casteljau algorithm in the context of Riemannian symmetric spaces. This algorithm, whose classical form… Expand
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1995
1995
De Casteljau's algorithm is an extrapolation method
One of the most important recursive schemes in CAGD is De Casteljau's algorithm for the evaluation of Bezier curves and surfaces… Expand
Highly Cited
1994
Highly Cited
1994
A generalized de Casteljau approach to 3D free-form deformation
This paper briefly presents an efficient and intuitive 3D free-form deformation approach based on iterative affine… Expand
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1993
1993
The de Casteljau Algorithm
The algorithm described in this chapter is probably the most fundamental one in the field of curve and surface design, yet it is… Expand
1992
1992
Integer de Casteljau Algorithm for Rasterizing NURBS Curves
An integer version of the well‐known de Casteljau algorithm of NURBS curves is presented here. The algorithm is used to render… Expand
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