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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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Related topics

Related topics

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

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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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2005
2005
Bernstein based arithmetic featuring de Casteljau
Bernstein based interval analysis permits to trace algebraic curves and surfaces. In this paper, we propose to use the classical… Expand
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2003
2003
The extension of the dual De Casteljau algorithm
Ruled surface design and its applications are widely used in CAGD (computer aided geometric design) and industrial areas. The… Expand
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1999
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
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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
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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
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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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1991
1991
Subdividing Multivariate Polynomials Over Simplices in Bernstein-Bézier Form Without de Casteljau Algorithm
Abstract Some possible alternatives to the “classical” subdivision of Bernstein polynomials (i.e., based on utilizing the well… Expand
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