Bibliography for the Bézier Curve

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  1. A Mathematica Package for CAGD and Computer Graphics
    Andrés Iglesias, Flabio Gutiérrez and Akemi Gálvez
    University of Cantabria, Santander, Spain and National University of Piura, Peru
  2. On Pierre Bezier's life and motivations
    Rabut, C.
    Computer Aided Design, 2002, vol. 34, no. ER7, pp. 493-510, Ingenta.  
  3. Pierre Etienne Bezier (1910-1999), in memoriam
    Rogers, D. F.
    Computer Aided Design, 2002, vol. 34, no. ER7, pp. 489-491, Ingenta.  
  4. Pierre Bezier: An engineer and a mathematician
    Laurent, P. J.; Sablonniere, P.
    Computer Aided Geometric Design, 2001, vol. 18, no. ER7, pp. 609-617, Ingenta.  
  5. Reaching the Global Minimum in Docking Simulations: A Monte Carlo Energy Minimization Approach Using Bezier Splines  
    Jean-Yves Trosset, Harold A. Scheraga  
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 95, No. 14. (Jul. 7, 1998), pp. 8011-8015, Jstor.  
  6. An Algorithm for Constructing Configurations of Knots for Bivariate B- Splines  
    R. H. J. Gmelig Meyling  
    SIAM Journal on Numerical Analysis, Vol. 24, No. 3. (Jun., 1987), pp. 706-724, Jstor.  
  7. Forward Difference Calculation of Bezier Curves.
    Bartley, Curtis
    C/C++ users journal, 1997, vol. 15, no. 11, pp. 19, Ingenta.  
  8. Curve Fitting with Bezier Cubics.
    Shao, Lejun; Zhou, Hao
    Graphical models and image processing, 1996, vol. 58, no. 3, pp. 223, Ingenta.  
  9. C^1-Surface Splines
    Jorg Peters
    SIAM Journal on Numerical Analysis, Vol. 32, No. 2. (Apr., 1995), pp. 645-666, Jstor.  
  10. Derivatives of Bernstein Polynomials and Smoothness  
    Z. Ditzian  
    Proceedings of the American Mathematical Society, Vol. 93, No. 1. (Jan., 1985), pp. 25-31, Jstor.  
  11. Cardinal Hermite Spline Interpolation with Shifted Nodes  
    Gerlind Plonka, Manfred Tasche  
    Mathematics of Computation, Vol. 63, No. 208. (Oct., 1994), pp. 645-659, Jstor.  
  12. A simple verification of the implicitization formulae for Bézier curves.
    Sederberg, Thomas W.; Wang, Guo Jin
    Comput. Aided Geom. Design 11 (1994), no. 2, 225--228.
  13. Numerical Integration Using Bezier Splines.
    Balkir, S.; Yanilmaz, M.; Plonus, M.
    Ieee transactions on computer-aided design of in, 1994, vol. 13, no. 6, pp. 737, Ingenta.  
  14. Efficient Algorithms for Periodic Hermite Spline Interpolation  
    G. Plonka, M. Tasche  
    Mathematics of Computation, Vol. 58, No. 198. (Apr., 1992), pp. 693-703, Jstor.  
  15. Fast Direct Solvers for Piecewise Hermite Bicubic Orthogonal Spline Collocation Equations  
    Bernard Bialecki, Graeme Fairweather, Karin R. Bennett  
    SIAM Journal on Numerical Analysis, Vol. 29, No. 1. (Feb., 1992), pp. 156-173, Jstor.  
  16. Stability of Interpolation from C^1 Cubics at the Vertices of an Underlying Triangulation  
    Jorg Peters, Meera Sitharam  
    SIAM Journal on Numerical Analysis, Vol. 29, No. 2. (Apr., 1992), pp. 528-533, Jstor.  
  17. An algorithm for linear interpolation of cubic Bézier curves.
    Loh, H. T.; Teng, C. S.; Wong, Y. S.
    Optimization, Vol. 1, 2 (Singapore, 1992), 815--822, World Sci. Publishing, River Edge, NJ, 1992.
  18. Bézier curves. (Slovenian)
    Lokar, Matija
    Obzornik Mat. Fiz. 39 (1992), no. 2, 33--42, MathSciNet.  
  19. Controlling the curvature of a quadratic Bézier curve.
    Sapidis, Nickolas S.; Frey, William H.
    Comput. Aided Geom. Design 9 (1992), no. 2, 85--91, MathSciNet.  
  20. Efficient Algorithms for Periodic Hermite Spline Interpolation  
    G. Plonka, M. Tasche  
    Mathematics of Computation, Vol. 58, No. 198. (Apr., 1992), pp. 693-703, Jstor.  
  21. Stability of Interpolation from C^1 Cubics at the Vertices of an Underlying Triangulation  
    Jorg Peters, Meera Sitharam  
    SIAM Journal on Numerical Analysis, Vol. 29, No. 2. (Apr., 1992), pp. 528-533.
  22. Approximation by Interval Bezier Curves.
    Sederberg, Thomas W.; Farouki, Rida T.
    IEEE computer graphics and applications, 1992, vol. 12, no. 5, pp. 87, Ingenta.  
  23. Shape-Preserving Bivariate Interpolation  
    Paolo Costantini, Ferruccio Fontanella  
    SIAM Journal on Numerical Analysis, Vol. 27, No. 2. (Apr., 1990), pp. 488-506, Jstor.  
  24. Role of Bezier curves, and surfaces in the Volkswagen CAD approach from 1967 to today.
    Hochfeld, H. - J.; Adlum, L. A.
    Computer aided design, 1990, vol. 22, no. 9, pp. 598, Ingenta.  
  25. Least Squares Approximation With Constraints  
    Gradimir V. Milovanovic, Staffan Wrigge  
    Mathematics of Computation, Vol. 46, No. 174. (Apr., 1986), pp. 551-565, Jstor.  
  26. Bernstein Polynomials Via the Shifting Operator (in Notes)  
    Geng-Zhe Chang  
    American Mathematical Monthly, Vol. 91, No. 10. (Dec., 1984), pp. 634-638, Jstor.  
  27. On Shape Preserving Quadratic Spline Interpolation  
    Larry L. Schumaker  
    SIAM Journal on Numerical Analysis, Vol. 20, No. 4. (Aug., 1983), pp. 854-864.
  28. Bezier Polynomials in Compuer-Aided Geometric Design   
    Cliff Long and Vic Norton    
    College Math Journal: Volume 11, Number 5, (1980), Pages: 320-325.    
  29. Algorithms for Computing Shape Preserving Spline Interpolations to Data  
    David F. McAllister, Eli Passow, John A. Roulier  
    Mathematics of Computation, Vol. 31, No. 139. (Jul., 1977), pp. 717-725, Jstor.  
  30. New Approximations to Familiar Functions  
    J. E. Dutt, T. K. Lin, L. C. Tao  
    Mathematics of Computation, Vol. 27, No. 124. (Oct., 1973), pp. 939-942, Jstor.  
  31. Numerical Evaluation of Multiple Integrals  
    Seymour Haber  
    SIAM Review, Vol. 12, No. 4. (Oct., 1970), pp. 481-526, Jstor.  
  32. Bernstein Polynomials and Monte Carlo Integration  
    Lloyd Rosenberg  
    SIAM Journal on Numerical Analysis, Vol. 4, No. 4. (Dec., 1967), pp. 566-574, Jstor.  

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003