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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
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Papers overview

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2013
2013
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
  • 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
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
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
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
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
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
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 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
An integer version of the well‐known de Casteljau algorithm of NURBS curves is presented here. The algorithm is used to render… Expand