In the mathematical field of numerical analysis, De Casteljau's algorithm is a recursive method to evaluate polynomials in Bernstein form or Bézier… (More)

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2015

2015

- Khalid Khan, D. K. Lobiyal
- ArXiv
- 2015

In this paper, a de Casteljau algorithm to compute (p, q)-Bernstein Bézier curves based on (p, q)integers is introduced. We study… (More)

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2014

2014

- Grzegorz Nowak
- 2014

and Applied Analysis 3 for k 0, 1, . . . , n − j − 1 and fj f j / n . It is easily established by induction that qdifferences… (More)

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2011

2011

- Joaquín Benítez
- Computer-Aided Design
- 2011

A projective invariant generalization of the de Casteljau algorithm is described by using the cross ratio and an auxiliary line… (More)

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2005

2005

Bernstein based interval analysis permits to trace algebraic curves and surfaces. In this paper, we propose to use the classical… (More)

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1999

1999

1999

- Esmeralda Mainar, Juan Manuel Peña
- Numerical Algorithms
- 1999

Corner cutting algorithms are used in different fields and, in particular, play a relevant role in Computer Aided Geometric… (More)

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1995

1995

- Carsten Carstensen, Günter W. Mühlbach, G. Schmidt
- Computer Aided Geometric Design
- 1995

One of the most important recursive schemes in CAGD is De Casteljau's algorithm for the evaluation of Btzier curves and surfaces… (More)

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Highly Cited

1994

Highly Cited

1994

- Yu-Kuang Chang, Alyn P. Rockwood
- SIGGRAPH
- 1994

This paper briefly presents an efficient and intuitive 3D free-form deformation approach based on iterative affine… (More)

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1993

1993

- Wolfgang Boehm
- Computer Aided Geometric Design
- 1993

Boehm, W., An affine representation of de Casteljau’s and de Boor’s rational algorithms, Computer Aided Geometric Design 10 (1993… (More)

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1992

1992

- Narayanan Anantakrishnan, Les A. Piegl
- Comput. Graph. Forum
- 1992

An integer version of the well-known de Casteljau algorithm of NURBS curves is presented here. The algorithm is used to render… (More)

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