B-rational curves and reparametrization : the quadratic case

J.-C. Fiorot; P. Jeannin; S. Taleb

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1993)

  • Volume: 27, Issue: 3, page 289-311
  • ISSN: 0764-583X

How to cite

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Fiorot, J.-C., Jeannin, P., and Taleb, S.. "B-rational curves and reparametrization : the quadratic case." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 27.3 (1993): 289-311. <http://eudml.org/doc/193704>.

@article{Fiorot1993,
author = {Fiorot, J.-C., Jeannin, P., Taleb, S.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Bézier curves; massic vector; BR-curve; massic polygon},
language = {eng},
number = {3},
pages = {289-311},
publisher = {Dunod},
title = {B-rational curves and reparametrization : the quadratic case},
url = {http://eudml.org/doc/193704},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Fiorot, J.-C.
AU - Jeannin, P.
AU - Taleb, S.
TI - B-rational curves and reparametrization : the quadratic case
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1993
PB - Dunod
VL - 27
IS - 3
SP - 289
EP - 311
LA - eng
KW - Bézier curves; massic vector; BR-curve; massic polygon
UR - http://eudml.org/doc/193704
ER -

References

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  1. [1] P. BÉZIER, Procédé de définition numérique des courbes et surfaces non mathématiques, système Unisurf, Automatisme 13, 1968. 
  2. [2] P. DE CASTELJAU, Outillage, méthode de calcul, André Citroën Automobile S.A., Paris 1959. 
  3. [3] G. FARIN, Algorithms for rational Bézier curves, Computer Aided Design. 15 (1983) pp. 73-77. 
  4. [4] I. E. FAUX and M. J. PRATT, Computational geometry for design and manufacture, Ellis Horwood, Chichester, 1979. Zbl0395.51001MR524724
  5. [5] J. C., FIOROT and P. JEANNIN, Nouvelle description et calcul des courbes rationnelles à l'aide de points et vecteurs de contrôle, C.R. Acad. Sci. Paris, t 305, Série I (1987) pp. 435-440. Zbl0631.65011MR916347
  6. [6] J. C. FIOROT and P. JEANNIN, Courbes et Surfaces Rationnelles. Applications à la CAO, RMA12, Masson, Paris, 1989; Zbl0713.68095MR1049383
  7. J. C. FIOROT and P. JEANNIN English version : Rational Curves and Surfaces. Applications to CAD, J. Wiley and Sons, 1992. MR1182789
  8. [7] J. C. FIOROT and P. JEANNIN, B-Rational curves and surfaces, N-Rational splines, in Curves and Surfaces, P. J. Laurent, A. Le Méhauté and L. L. Schumaker (eds.), Academic Press, New York (1991) pp. 181-184. Zbl0735.41012MR1123734
  9. [8] J. C. FIOROT, P. JEANNIN and S. TALEB, Homographic change of parameter for B-Rational curves, preprint, 1992. Zbl0799.65014
  10. [9] J. C. FIOROT and S. TALEB, Reparametrizations of Polynomial and Rational curves, in Curves and Surfaces, P. J. Laurent, A. Le Méhauté and L. L. Schumaker (eds.), Academic Press, New York (1991) pp. 185-188. Zbl0735.41022MR1123735
  11. [10] S. TALEB, Incidence du paramétrage sur le contrôle des courbes rationnelles, Thèse Université des Sciences et Technologies de Lille, 1991. 

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