Bibliography for the Bézier Curve

unabridged

  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. Cubic Bezier splines for BEM heat transfer analysis of the 2-D continuous casting problems
    Cholewa, R.; Nowak, A. J.; Bialecki, R. A.; Wrobel, L. C.
    Computational Mechanics, 2002, vol. 28, no. 3/4, pp. 282-290, Ingenta.  
  3. Bezier Surfaces of Minimal Area
    Cosin, C.; Monterde, J.
    Lecture Notes in Computer Science, 2002, no. 2330, pp. 72-81, Ingenta.  
  4. Recovering the control points of Bezier curves for line image indexing
    Bhuiyan, M. A.-A.; Hama, H.
    Journal of Electronic Imaging, 2002, vol. 11, no. 2, pp. 177-186, Ingenta.  
  5. G3 continuous curve modeling with rational cubic Bezier spline
    Chen, J.; Zhang, S.; Bao, H.
    Progress in Natural Science, 2002, vol. 12, no. 3, pp. 217-221, Ingenta.  
  6. Developable Bezier patches: properties and design
    Chu, C. H.; Sequin, C. H.
    Computer Aided Design, 2002, vol. 34, no. ER7, pp. 511-527, Ingenta.  
  7. On Pierre Bezier's life and motivations
    Rabut, C.
    Computer Aided Design, 2002, vol. 34, no. ER7, pp. 493-510, Ingenta.  
  8. Pierre Etienne Bezier (1910-1999), in memoriam
    Rogers, D. F.
    Computer Aided Design, 2002, vol. 34, no. ER7, pp. 489-491, Ingenta.  
  9. Termination criterion for subdivision of triangular Bezier patch
    Li, Y. Q.; Ke, Y. L.; Li, W. S.; Peng, Q. S.; Tan, J. R.
    Computers and Graphics, 2002, vol. 26, no. ER1, pp. 67-74, Ingenta.  
  10. Reconstruction of anatomical shapes from scattered data using deformable Bezier surfaces [4564-44]
    Knopf, G. K.; Sangole, A.
    Proceedings- Spie the International Society for Optical Engineering, 2001, no. 4564, pp. 356-366, Ingenta.  
  11. On the smooth convergence of subdivision and degree elevation for Bézier curves.
    Morin, Géraldine; Goldman, Ron
    Special issue Pierre Bézier. Comput. Aided Geom. Design 18 (2001), no. 7, 657--666, MathSciNet.  
  12. Generalized Bernstein polynomials and Bézier curves: an application of umbral calculus to computer aided geometric design.
    Winkel, Rudolf
    Adv. in Appl. Math. 27 (2001), no. 1, 51--81, MathSciNet.  
  13. Construction Algorithm of Developable Bezier Interpolation Patches
    Chuan, Y.; Yun, M.; Xue, J.-j.
    Journal- Xian Petroleum Institute, 2001, vol. 16, no. 6, pp. 67-70, Ingenta.  
  14. Geometric Continuity Condition Between Adjacent Rectangular and Triangular Bezier Surfaces
    Yang, Y.-s.; Li, X.-p.
    Journal- Xian Petroleum Institute, 2001, vol. 16, no. 6, pp. 65-66, Ingenta.  
  15. A Fast Algorithm for Finding Control Points of Bezier Curves
    Bhuiyan, M. A.; Hama, H.
    International Journal of Robotics and Automation, 2001, vol. 16, no. 3, pp. 117-123, Ingenta.  
  16. Singularities of rational Bezier curves
    Monterde, J.
    Computer Aided Geometric Design, 2001, vol. 18, no. ER8, pp. 805-816, Ingenta.  
  17. A subdivision algorithm for generalized Bernstein-Bezier curves
    Jena, M. K.; Shunmugaraj, P.; Das, P. C.
    Computer Aided Geometric Design, 2001, vol. 18, no. ER7, pp. 673-698, Ingenta.  
  18. On the smooth convergence of subdivision and degree elevation for Bezier curves
    Morin, G.; Goldman, R.
    Computer Aided Geometric Design, 2001, vol. 18, no. ER7, pp. 657-666, Ingenta.  
  19. Real-time CNC interpolators for Bezier conics
    Farouki, R. T.; Manni, C.; Sestini, A.
    Computer Aided Geometric Design, 2001, vol. 18, no. ER7, pp. 639-655, Ingenta.  
  20. Computing normal vector Bezier patches
    Kiciak, P. l.
    Computer Aided Geometric Design, 2001, vol. 18, no. ER7, pp. 699-710, Ingenta.  
  21. 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.  
  22. Conversion between triangular and rectangular Bezier patches
    Hu, S. M.
    Computer Aided Geometric Design, 2001, vol. 18, no. ER7, pp. 667-671, Ingenta.  
  23. Range restricted scattered data interpolation using convex combination of cubic Bezier triangles
    Chan, E. S.; Ong, B. H.
    Journal of Computational and Applied Mathematics, 2001, vol. 136, no. ER1-2, pp. 135-147, Ingenta.  
  24. On Constructing Geometrically Developable Bezier Surface of Degree (2,3)
    Xijun, Z.; Yaqin, M.; Zhenglin, Y.
    Journal- Northwestern Polytechnical University, 2001, vol. 19, no. 3, pp. 467-470, Ingenta.  
  25. Interval Bezier Curves Approximation of Rational Curves
    Chen, X.-q.; Lou, W.-p.
    Journal- China University of Science and Technology, 2001, vol. 31, no. 4, pp. 379-385, Ingenta.  
  26. Ray Tracing Triangular Bezier Patches
    Roth, S. H. M.; Diezi, P.; Gross, M. H.
    Computer Graphics Forum, 2001, vol. 20, no. 3, pp. C-422-C-430, Ingenta.  
  27. Reparameterization of piecewise rational Bezier curves and its applications
    Tokuyama, Y.; Konno, K.
    Visual Computer, 2001, vol. 17, no. 6, pp. 329-336, Ingenta.  
  28. Autonomous Selection and Indefinite Goals: A System Using Bezier Curves as Dynamically Re-defined Transition Rules
    Aono, M.; Gunji, Y.-P.
    AIP Conference Proceedings, 2001, no. 573, pp. 242-256, Ingenta.  
  29. Triangular Bezier surface algorithms
    Cao, Y.; Sun, Y.; Tang, L.
    Journal- Tsinghua University, 2001, vol. 41, no. 7, pp. 83-86, Ingenta.  
  30. Generalized Bernstein Polynomials and Bezier Curves: An Application of Umbral Calculus to Computer Aided Geometric Design
    Winkel, R.
    Advances in Applied Mathematics, 2001, vol. 27, no. 1, pp. 51-81, Ingenta.  
  31. Flatness Criteria for Subdivision of Rotational Bezier Curves and Surfaces
    Dyllong, E.; Luther, W.
    Zeitschrift fur Angewandte Mathematik und Mechanik, 2001, vol. 81, no. SUPP/3, pp. S713-714, Ingenta.  
  32. Bezier Optimum Path Planning for Robot in Joint Coordinates
    Mechanical Science and Technology, 2001, vol. 20, no. 3, pp. 350-352, Ingenta.  
  33. New Conversion between Triangular and Tensor-Product Bezier Patches
    Feng, J.-Q.
    Journal of Computer Aided Design and Computer Graphics, 2001, vol. 13, no. 5, pp. 467-472, Ingenta.  
  34. Degree Reduction Condition and Approximation of Bezier Curves
    Liu, Q.-s.
    Journal- Tongji University, 2001, vol. 29, no. 4, pp. 470-473, Ingenta.  
  35. The Convexity and Positivity of Bivariate Quadratic Bezier Surfaces over a Rectangle
    Ding, Y.-d.
    Journal- Shanghai University, 2001, vol. 5, no. 1, pp. 20-28, Ingenta.  
  36. Approximate merging of a pair of Bezier curves
    Hu, S. M.; Tong, R. F.; Ju, T.; Sun, J. G.
    Computer Aided Design, 2001, vol. 33, no. ER2, pp. 125-136, Ingenta.  
  37. Smooth connection of two adjacent bicubic Bézier patches. (Chinese)
    Jia, Hong Li; Tang, Zheng Quan
    Comm. Appl. Math. Comput. 15 (2001), no. 1, 91--96, MathSciNet.  
  38. Approximation to rational curves by interval Bézier curves. (Chinese)
    Chen, Xiao Qun; Lou, Wen Ping
    J. Univ. Sci. Technol. China 31 (2001), no. 4, 379--385, 406, MathSciNet.  
  39. Efficient algorithms for Bézier curves.
    Phien, Huynh Ngoc; Dejdumrong, Nattawit
    Comput. Aided Geom. Design 17 (2000), no. 3, 247--250.
  40. Continuous vector elements on rational Bezier surfaces in the BEM for scattering problems
    Hellicar, A.; Cambrell, G.; James, G.; Kot, J.
    IEEE Antennas and Propagation Society International Symposium, 2000, vol. 2, pp. 1192-1195, Ingenta.  
  41. Good Degree Reduction of Bezier Curves Using Jacobi Polynomials
    Kim, H. J.
    Computers and Mathematics With Applications, 2000, vol. 40, no. ER10-11, pp. 1205-1215, Ingenta.  
  42. Approximation by Interval Bezier Surfaces
    Liu, L.-G.
    Journal of Computer Aided Design and Computer Graphics, 2000, vol. 12, no. 9, pp. 645-650, Ingenta.  
  43. An improved rendering technique for ray tracing Bezier and B-spline surfaces
    Wang, S.-W.; Shih, Z.-C.; Chang, R.-C.
    Journal of Visualization and Computer Animation, 2000, vol. 11, no. 4, pp. 209-219, Ingenta.  
  44. Simulation-Extrapolation via the Bezier Curve in Measurement Error Models
    Kim, C.; Hong, C.; Jeong, M.
    Communications in Statistics Simulation and Computation, 2000, vol. 29, no. 4, pp. 1135-1148, Ingenta.  
  45. Bisection algorithms for approximating quadratic Bezier curves by G1 arc splines.
    Yong, J-H.; Hu, S-M.; Sun, J-G.
    Computer Aided Design, 2000, vol. 32, no. 4, pp. 253, Ingenta.  
  46. Order reduction of Bezier curves. (Russian)
    Ezovskikh, V. E.
    Vestn. Syktyvkar. Univ. Ser. 1 Mat. Mekh. Inform. No. 3 (1999), 245--248.
  47. Smoothing techniques via the Bezier curve.
    Kim, Choongrak; Kim, Woochul; Park, Byeong U.; Hong, Changkon; Jeong, Meeseon
    Comm. Statist. Theory Methods 28 (1999), no. 7, 1577--1597.
  48. G2 composite cubic Bézier curves.
    Paluszny, Marco; Tovar, Francisco; Patterson, Richard R.
    Special issue: computational methods in computer graphics. J. Comput. Appl. Math. 102 (1999), no. 1, 49--71, MathSciNet.  
  49. Visualization of complex geological structures using 3-D Bezier construction tools.
    de Kemp, Eric A.
    Computers & geosciences, 1999, vol. 25, no. 5, pp. 581, Ingenta.  
  50. C-Bezier Surves and Surfaces.
    Zhang, Jiwen
    Graphical models and image processing, 1999, vol. 61, no. 1, pp. 2, Ingenta.  
  51. G2 composite cubic Bezier curves.
    Paluszny, M.; Tovar, F.; Patterson, R.R.
    Journal of Computational and Applied Mathematics, 1999, vol. 102, no. 1, pp. 49, Ingenta.  
  52. The cubic rational Bézier curve determined by two points inside the control polygon. (Chinese)
    Pan, Ri Jing
    Math. Numer. Sin. 21 (1999), no. 4, 385--396.
  53. 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.  
  54. Curvatures of the quadratic rational Bézier curves.
    Ahn, Y. J.; Kim, H. O.
    Comput. Math. Appl. 36 (1998), no. 9, 71--83, MathSciNet.  
  55. A shape controlled fitting method for Bézier curves.
    Mineur, Yves; Lichah, Tony; Castelain, Jean Marie; Giaume, Henri
    Comput. Aided Geom. Design 15 (1998), no. 9, 879--891, MathSciNet.  
  56. A cocktail algorithm for planar Bezier curve intersections.
    Kim, D-S.; Lee, S-W.; Shin, H.
    Computer aided design, 1998, vol. 30, no. 13, pp. 1047, Ingenta.  
  57. Shape description using cubic polynomial Bezier curves.
    Cinque, L.; Levialdi, S.; Malizia, A.
    Pattern recognition letters, 1998, vol. 19, no. 9, pp. 821, Ingenta.  
  58. Parametric Piecewise Modeling of Bezier and Polynomial Surfaces.
    Imine, Mohamed; Nagahashi, Hiroshi
    IEICE transactions on information and systems, 1998, vol. 81, no. 1, pp. 94, Ingenta.  
  59. G1 arc spline approximation of quadratic Bezier curves.
    Ahn, Y. J.; Kim, H. O.; Lee, K.-Y.
    Computer aided design, 1998, vol. 30, no. 8, pp. 615, Ingenta.  
  60. Baseline Correction of Spectra in Fourier Transform Infrared: Interactive Drawing with Bezier Curves.
    Koch, Alain; Weber, Jean-Victor
    Applied spectroscopy, 1998, vol. 52, no. 7, pp. 970, Ingenta.  
  61. Reaching the global minimum in docking simulations: A Monte Carlo energy minimization approach using Bezier splines.
    Trosset, Jean-Yves; Scheragq, Harold A.
    Proceedings of the national academy of sciences, 1998, vol. 95, no. 14, pp. 8011, Ingenta.  
  62. Approximation of circular arcs by Bézier curves.
    Ahn, Young Joon; Kim, Hong Oh
    J. Comput. Appl. Math. 81 (1997), no. 1, 145--163, MathSciNet.  
  63. Degree reduction of Bézier curves by L1-approximation with endpoint interpolation.
    Kim, H. O.; Moon, S. Y.
    Comput. Math. Appl. 33 (1997), no. 5, 67--77, MathSciNet.  
  64. 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.  
  65. The hybrid quintic Bezier tetrahedron.
    Foley, T. A.; Wolters, H. J.
    Computer aided geometric design, 1997, vol. 14, no. 7, pp. 603, Ingenta.  
  66. Distance for Bezier curves and degree reduction.
    Lee, Byung-Gook; Park, Yunbeom
    Bulletin of the Australian Mathematical Society, 1997, vol. 56, no. 3, pp. 507, Ingenta.  
  67. Forward Difference Calculation of Bezier Curves.
    Bartley, Curtis
    C/C++ users journal, 1997, vol. 15, no. 11, pp. 19, Ingenta.  
  68. Approximating a helix segment with a rational Bezier curve.
    Seemann, G.
    Computer aided geometric design, 1997, vol. 14, no. 5, pp. 475, Ingenta.  
  69. Corner cutting curves and a new characterization of Bezier and B-spline curves.
    Aumann, G.
    Computer aided geometric design, 1997, vol. 14, no. 5, pp. 449, Ingenta.  
  70. Trigonometric Bezier and Stancu Polynomials Over Intervals and Triangles.
    Walz, G.
    Computer aided geometric design, 1997, vol. 14, no. 4, pp. 393, Ingenta.  
  71. Contributions to rational Bézier curves and surfaces.
    Gânscu a, Ioan; Coman, Gheorghe;  Tâmbulea, Leon
    Approximation and optimization, Vol. II (Cluj-Napoca, 1996), 107--116, Transilvania, Cluj-Napoca, 1997, MathSciNet.  
  72. Bézier curves via fractal algorithm.
    Koci'c, Lj. M.; Simoncelli, A. C.
    Proceedings of the Third International Conference on Functional Analysis and Approximation Theory, Vol. II (Acquafredda di Maratea, 1996), MathSciNet.  
  73. How to go from Bézier to Lagrange curves by means of generalized Bézier curves.
    Occorsio, D.; Simoncelli, A. C.
    Facta Univ. Ser. Math. Inform. No. 11 (1996), 101--111, MathSciNet.  
  74. The geometry of optimal degree reduction of Bézier curves.
    Brunnett, Guido; Schreiber, Thomas; Braun, Jörg
    Comput. Aided Geom. Design 13 (1996), no. 8, 773--788, MathSciNet.  
  75. The L2 norm of Bézier curves.
    Park, Yunbeom; Lee, Byung-Gook
    Korean J. Comput. Appl. Math. 3 (1996), no. 2, 245--252, MathSciNet.  
  76. Applications of generalized Bézier curves and surfaces in smooth joining. (Chinese)
    Liu, Gen Hong; Liu, Song Tao
    Acta Math. Appl. Sinica 19 (1996), no. 1, 107--114, MathSciNet.  
  77. Bernstein-Bezier Harmonics and Their Application to Robot Trajectory Synthesis With Minimal Vibrational Excitation.
    Ge, Q. J.; Rastegar, J.
    Journal of mechanical design, 1996, vol. 118, no. 4, pp. 509, Ingenta.  
  78. A Direct Relation between Bezier and Polynomial Representation.
    Imine, Mohamed; Nagahashi, Hiroshi; Agui, Takeshi
    IEICE transactions on information and systems, 1996, vol. 79, no. 9, pp. 1279, Ingenta.  
  79. Geometric continuity between adjacent Bezier patches and their constructions.
    Ye, X.; Liang, Y.; Nowacki, H.
    Computer aided geometric design, 1996, vol. 13, no. 6, pp. 521, Ingenta.  
  80. Mean normal vector to a surface bounded by Bezier curves.
    Ueda, K.
    Computer aided geometric design, 1996, vol. 13, no. 5, pp. 441, Ingenta.  
  81. Arbitrarily high degree elevation of Bezier representations.
    Trump, W.; Prautzsch, H.
    Computer aided geometric design, 1996, vol. 13, no. 5, pp. 387, Ingenta.  
  82. A planar cubic Bezier spiral.
    Walton, D. J.; Meek, D. S.
    Journal of computational and applied mathematics, 1996, vol. 72, no. 1, pp. 85, Ingenta.  
  83. Curve Fitting with Bezier Cubics.
    Shao, Lejun; Zhou, Hao
    Graphical models and image processing, 1996, vol. 58, no. 3, pp. 223, Ingenta.  
  84. Generalized Subdivision of Bezier Surfaces.
    Hu, Shi-Min; Wang, Guo-Zhao; Jin, Tong-Guang
    Graphical models and image processing, 1996, vol. 58, no. 3, pp. 218, Ingenta.  
  85. Prescribing the length of rational Bezier curves.
    Roulier, J.A.; Piper, B.
    Computer aided geometric design, 1996, vol. 13, no. 1, pp. 23, Ingenta.  
  86. C^1-Surface Splines
    Jorg Peters
    SIAM Journal on Numerical Analysis, Vol. 32, No. 2. (Apr., 1995), pp. 645-666, Jstor.  
  87. Hermite Interpolation by Pythagorean Hodograph Quintics  
    R. T. Farouki, C. A. Neff  
    Mathematics of Computation, Vol. 64, No. 212. (Oct., 1995), pp. 1589-1609, Jstor.  
  88. Derivatives of Bernstein Polynomials and Smoothness  
    Z. Ditzian  
    Proceedings of the American Mathematical Society, Vol. 93, No. 1. (Jan., 1985), pp. 25-31, Jstor.  
  89. An algorithm for finding the point of intersection of a ray and a cubic Bézier curve rotating surface in the ray tracing method. (Chinese)
    Kang, Zhu Zhen; Lu, Li Na
    Xi'an Jiaotong Daxue Xuebao 29 (1995), no. 1, 107--110.
  90. An algorithm for fast drawing of Bézier curves. (Chinese)
    Lü, Ke; Huang, Jin Gui
    Hunan Ann. Math. 15 (1995), no. 2, 63--65.
  91. Least squares degree reduction of Bezier curves.
    Eck, M.
    Computer aided design, 1995, vol. 27, no. 11, pp. 845, Ingenta.  
  92. Tangent, normal, and visibility cones on Bezier surfaces.
    Kim, D.-S.; Papalambros, P. Y.; Woo, T. C.
    Computer aided geometric design, 1995, vol. 12, no. 3, pp. 305, Ingenta.  
  93. Bezier nets, convexity and subdivision on higher-dimensional simplices.
    Goodman, T. N. T.; Peters, J.
    Computer aided geometric design, 1995, vol. 12, no. 1, pp. 53, Ingenta.  
  94. Degree reduction of Bezier curves and its error analysis.
    Park, Yunbeom; Choi, U. Jin
    Journal of the Australian Mathematical Society. Series B, 1995, vol. 36, no. 4, pp. 399, Ingenta.  
  95. Higher order Bezier circles.
    Chou, J.J.
    Computer aided design, 1995, vol. 27, no. 4, pp. 303, Ingenta.  
  96. Image Coding Using Modified Bezier-Bernstein Approximation.
    Biswas, Sambhunath; Pal, Sankar K.
    Information sciences, 1995, vol. 83, no. 3/4, pp. 175, Ingenta.  
  97. Cardinal Hermite Spline Interpolation with Shifted Nodes  
    Gerlind Plonka, Manfred Tasche  
    Mathematics of Computation, Vol. 63, No. 208. (Oct., 1994), pp. 645-659, Jstor.  
  98. H1-Norm Error Bounds for Piecewise Hermite Bicubic Orthogonal Spline Collocation Schemes for Elliptic Boundary Value Problems  
    Bernard Bialecki, Xiao-Chuan Cai  
    SIAM Journal on Numerical Analysis, Vol. 31, No. 4. (Aug., 1994), pp. 1128-1146, Jstor.  
  99. Shape control of cubic rational Bézier curves. (Chinese)
    Pan, Ri Jing
    Fujian Shifan Daxue Xuebao Ziran Kexue Ban 10 (1994), no. 4, 13--19.
  100. Interpolation with rational Bézier curves.
    Koci\'c, Ljubi\v sa M.; Blagojevi\'c, Nenad V.
    IX Conference on Applied Mathematics (Budva, 1994), 29--36, Univ. Novi Sad, Novi Sad, 1995.
  101. An efficient algorithm for Bézier curves.
    Zhang, Xiao Peng; Mu, Yu Jie
    Pure Appl. Math. 10 (1994), suppl., 68--80.
  102. The error analysis for degree reduction of Bézier curves.
    Park, Y.; Choi, U. J.
    Comput. Math. Appl. 27 (1994), no. 12, 1--6.
  103. Minimization, constraints and composite Bézier curves.
    Bercovier, Michel; Jacobi, Arie
    Comput. Aided Geom. Design 11 (1994), no. 5, 533--563, MathSciNet.  
  104. 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.
  105. Approximation of quadratic Bézier curves by arc splines.
    Walton, D. J.; Meek, D. S.
    J. Comput. Appl. Math. 54 (1994), no. 1, 107--120, MathSciNet.  
  106. Fast algorithm for generating Bernstein-Bezier polynomials.
    Rafajlowicz, E.
    Journal of computational and applied mathematics, 1994, vol. 51, no. 3, pp. 279, Ingenta.  
  107. Geometric Construction of Bezier Motions.
    Ge, Q.J.; Ravani, B.
    Journal of mechanical design, 1994, vol. 116, no. 3, pp. 749, Ingenta.  
  108. Best approximations of symmetric surfaces by biquadratic Bezier surfaces.
    Eisele, E. F.
    Computer aided geometric design, 1994, vol. 11, no. 3, pp. 331, Ingenta.  
  109. 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.  
  110. The Generic Dimension of the Space of C^1 Splines of Degree d=>8 on Tetrahedral Decompositions  
    Peter Alfeld, Larry L. Schumaker, Walter Whiteley  
    SIAM Journal on Numerical Analysis, Vol. 30, No. 3. (Jun., 1993), pp. 889-920, Jstor.  
  111. A Fast Domain Decomposition Poisson Solver on a Rectangle for Hermite Bicubic Orthogonal Spline Collocation  
    Bernard Bialecki  
    SIAM Journal on Numerical Analysis, Vol. 30, No. 2. (Apr., 1993), pp. 425-434, Jstor.  
  112. Generalizations of Bézier curves and surfaces.
    Gânscua, I.; Coman, Gh.;  Tâmbulea, L.
    Curves and surfaces in geometric design (Chamonix-Mont-Blanc, 1993), 169--176, A K Peters, Wellesley, MA, 1994, MathSciNet.  
  113. Specifying the arc length of Bézier curves.
    Roulier, John A.
    Comput. Aided Geom. Design 10 (1993), no. 1, 25--56, MathSciNet.  
  114. The Generic Dimension of the Space of C^1 Splines of Degree d>=8 on Tetrahedral Decompositions  
    Peter Alfeld, Larry L. Schumaker, Walter Whiteley  
    SIAM Journal on Numerical Analysis, Vol. 30, No. 3. (Jun., 1993), pp. 889-920, Jstor.  
  115. Computer-aided geometric design and panel generation for hull forms based on rational cubic Bézier curves.
    Kouh, J. S.; Chau, S. W.
    Comput. Aided Geom. Design 10 (1993), no. 6, 537--549.
  116. Efficient ray tracing for Bezier and B-spline surfaces.
    Barth, W.; Sturzlinger, W.
    Computers & graphics, 1993, vol. 17, no. 4, pp. 423, Ingenta.  
  117. Efficient Algorithms for Periodic Hermite Spline Interpolation  
    G. Plonka, M. Tasche  
    Mathematics of Computation, Vol. 58, No. 198. (Apr., 1992), pp. 693-703, Jstor.  
  118. 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.  
  119. 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.  
  120. Random Affine Iterated Function Systems: Curve Generation and Wavelets  
    Marc A. Berger
    SIAM Review, Vol. 34, No. 3. (Sep., 1992), pp. 361-385.  
  121. 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.
  122. Bézier curves. (Slovenian)
    Lokar, Matija
    Obzornik Mat. Fiz. 39 (1992), no. 2, 33--42, MathSciNet.  
  123. 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.  
  124. Efficient Algorithms for Periodic Hermite Spline Interpolation  
    G. Plonka, M. Tasche  
    Mathematics of Computation, Vol. 58, No. 198. (Apr., 1992), pp. 693-703, Jstor.  
  125. 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.
  126. Geometric continuity conditions for rational Bezier curves and their application. (Chinese)
    Jiang, Xian Feng; Liang, You Dong
    Numer. Math. J. Chinese Univ. 14 (1992), no. 4, 340--353, MathSciNet.  
  127. Generation of hull surfaces using rational cubic Bezier curves
    Kouh, Jen-Shiang; Chau, Shiu-Wu
    Ship technology research, 1992, vol. 39, no. 3, pp. 134, Ingenta.  
  128. Bezier representation for cubic surface patches.
    Lodha, S.; Warren, J.
    Computer aided design, 1992, vol. 24, no. 12, pp. 643, Ingenta.  
  129. Approximation by Interval Bezier Curves.
    Sederberg, Thomas W.; Farouki, Rida T.
    IEEE computer graphics and applications, 1992, vol. 12, no. 5, pp. 87, Ingenta.  
  130. B-spline Bezier representation of geometric spline curve: Quaratics and quintics.
    Eck, M.; Lasser, D.
    Computers & mathematics with applications, 1992, vol. 23, no. 11, pp. 23, Ingenta.  
  131. On convex Bezier triangles.
    Prautzsch, H.
    RAIRO. Mathematical modelling and numerical analysis, 1992, vol. 26, no. 1, pp. 23, Ingenta.  
  132. Offsets of polynomial Bézier curves: Hermite approximation with error bounds.
    Sederberg, Thomas W.; Buehler, David B.
    Mathematical methods in computer aided geometric design, II (Biri, 1991), 549--558, Academic Press, Boston, MA, 1992.
  133. Bézier curves and surface patches on quadrics.
    Hoschek, Josef
    Mathematical methods in computer aided geometric design, II (Biri, 1991), 331--342, Academic Press, Boston, MA, 1992.
  134. Bézier curves and surfaces.
    Sablonnière, Paul Discrete
    Mathematical methods in computer aided geometric design, II (Biri, 1991), 497--515, Academic Press, Boston, MA, 1992, MathSciNet.  
  135. Closed (C2-continuous) Bézier curves with given tangent polygons.
    Fang, Kui
    Chinese J. Numer. Math. Appl. 13 (1991), no. 2, 29--33, MathSciNet.  
  136. Bezier curves and surfaces and their realization. (Chinese)
    Tang, Chang Jun
    J. Shanghai Jiaotong Univ. 25 (1991), no. 2, 29--41, MathSciNet.  
  137. Curve fitting with extended rational Bézier curves and curve drawing.
    Saitoh, Tsuyoshi; Hosaka, Mamoru
    Computer-aided design & computer graphics (Hangzhou, 1991), 205--210, Internat. Acad. Publ., Beijing, 1991.
  138. On vibrations of Shells and Revolution Using Bezier Polynomials.
    Singh, A.V.
    Journal of pressure vessel technology, 1991, vol. 113, no. 4, pp. 579, Ingenta.  
  139. Data Structures to support Bezier-based modelling.
    Samet, H.; Webber, R.E.
    Computer aided design, 1991, vol. 23, no. 3, pp. 162, Ingenta.  
  140. Linear fractional transformations of rational Bézier curves.
    Lucian, Miriam L.
    NURBS for curve and surface design (Tempe, AZ, 1990), 131--139, SIAM, Philadelphia, PA, 1991.
  141. Shape-Preserving Bivariate Interpolation  
    Paolo Costantini, Ferruccio Fontanella  
    SIAM Journal on Numerical Analysis, Vol. 27, No. 2. (Apr., 1990), pp. 488-506, Jstor.  
  142. On the Numerical Condition of Bernstein-Bezier Subdivision Processes  
    R. T. Farouki, C. A. Neff  
    Mathematics of Computation, Vol. 55, No. 192. (Oct., 1990), pp. 637-647, Jstor.  
  143. Bivariate C^1 Quadratic Finite Elements and Vertex Splines  
    Charles K. Chui, Tian-Xiao He  
    Mathematics of Computation, Vol. 54, No. 189. (Jan., 1990), pp. 169-187, Jstor.  
  144. 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.  
  145. Family of recursively defined curves, related to the cubic Bezier curve.
    van Overveld, C. W. A. M.
    Computer aided design, 1990, vol. 22, no. 9, pp. 591, Ingenta.  
  146. Curve intersection using Bezier clipping.
    Sederberg, T. W.; Nishita, T.
    Computer aided design, 1990, vol. 22, no. 9, pp. 538, Ingenta.  
  147. Interactive interpolation and approximation by Bezier polynomials.
    Forrest, A. R.
    Computer aided design, 1990, vol. 22, no. 9, pp. 527, Ingenta.  
  148. Stroke segmentation by Bernstein-Bezier curve fitting.
    Liao, Chia-Wei; Huang, Jun S.
    Pattern recognition, 1990, vol. 23, no. 5, pp. 475, Ingenta.  
  149. Fast subdivision of Bezier surfaces.
    Harrand, Vincent J.; Ziebarth, John P.; Choudry, Amar
    Simulation, 1990, vol. 54, no. 5, pp. 241, Ingenta.  
  150. Bezier Surface/Surface Intersection.
    Aziz, Nadim M.; Bata, Reda; Bhat, Sudarshan
    Ieee computer graphics and applications, 1990, vol. 10, no. 1, pp. 50, Ingenta.  
  151. Parallelization of the subdivision algorithm for intersection of Bézier curves on the FPS T20.
    Kaufmann, A.
    Mathematical methods in computer aided geometric design (Oslo, 1988), 403--411, Academic Press, Boston, MA, 1989, MathSciNet.  
  152. Three examples of dual properties of Bézier curves.
    Barry, P. J.; Goldman, R. N.
    Mathematical methods in computer aided geometric design (Oslo, 1988), 61--69, Academic Press, Boston, MA, 1989, MathSciNet.  
  153. What is the natural generalization of a Bézier curve?
    Barry, P. J.; Goldman, R. N.
    Mathematical methods in computer aided geometric design (Oslo, 1988), 71--85, Academic Press, Boston, MA, 1989, MathSciNet.  
  154. On a property of Bézier curves.
    Koci'c, Ljubi\v sa M.
    VI Conference on Applied Mathematics (Tara, 1988), 83--87, Univ. Belgrade, Belgrade, 1989, MathSciNet.  
  155. Shape preserving and shape control with interpolating Bézier curves.
    Lee, Jenn Hua; Yang, Shi Nine
    Proceedings of the 3rd International Congress on Computational and Applied Mathematics (Leuven, 1988).
    J. Comput. Appl. Math. 28 (1989), Special Issue, 269--280.
  156. Bézier curves of positive curvature.
    Roulier, John A.
    Comput. Aided Geom. Design 5 (1988), no. 1, 59--70, MathSciNet.  
  157. Some remarks on Bézier curves.
    Degen, Wendelin
    Comput. Aided Geom. Design 5 (1988), no. 3, 259--268, MathSciNet.  
  158. Subdividing Bézier curves and surfaces.
    Schwartz, Art J.
    Geometric modeling, 55--66, SIAM, Philadelphia, PA, 1987.
  159. A generalization of Bézier curves.
    Gânscua, Ioan
    Seminar on Numerical and Statistical Calculus (Cluj-Napoca, 1987), 69--72, Preprint, 87-9, Univ. "Babec s-Bolyai", Cluj-Napoca, 1987, MathSciNet.  
  160. Algorithms for computing area and volume bounded by Bézier curves and surfaces. (Chinese)
    Liu, Ding Yuan
    Math. Numer. Sinica 9 (1987), no. 3, 327--336, MathSciNet.  
  161. Flexible subdivision theorems for B-spline and Bézier curves.
    Chêng, Fu Hua; Liao, Wen Chiuan
    J. Chinese Inst. Engrs. 9 (1986), no. 1, 97--103, MathSciNet.  
  162. Bézier curves with curvature and torsion continuity.
    Hagen, Hans
    Rocky Mountain J. Math. 16 (1986), no. 3, 629--638, MathSciNet.  
  163. Least Squares Approximation With Constraints  
    Gradimir V. Milovanovic, Staffan Wrigge  
    Mathematics of Computation, Vol. 46, No. 174. (Apr., 1986), pp. 551-565, Jstor.  
  164. On Monotone and Convex Spline Interpolation  
    Paolo Costantini  
    Mathematics of Computation, Vol. 46, No. 173. (Jan., 1986), pp. 203-214, Jstor.  
  165. Bernstein Polynomials Via the Shifting Operator (in Notes)  
    Geng-Zhe Chang  
    American Mathematical Monthly, Vol. 91, No. 10. (Dec., 1984), pp. 634-638, Jstor.  
  166. Fair fitting methods using Bézier curves and B-spline curves. (Chinese)
    Liu, Ding Yuan; Zhao, Yu Qi; Zhan, Ting Xiong; Xiao, Hong En
    Math. Numer. Sinica 6 (1984), no. 4, 360--365, MathSciNet.  
  167. On Shape Preserving Quadratic Spline Interpolation  
    Larry L. Schumaker  
    SIAM Journal on Numerical Analysis, Vol. 20, No. 4. (Aug., 1983), pp. 854-864.
  168. The Budan-Fourier Theorem and Hermite-Birkhoff Spline Interpolation  
    T. N. T. Goodman, S. L. Lee  
    Transactions of the American Mathematical Society, Vol. 271, No. 2. (Jun., 1982), pp. 451-467, Jstor.  
  169. On the Linear Independence of Multivariate B-Splines, I. Triangulations of Simploids  
    Wolfgang A. Dahmen, Charles A. Micchelli  
    SIAM Journal on Numerical Analysis, Vol. 19, No. 5. (Oct., 1982), pp. 993-1012, Jstor.  
  170. Inflection points and singular points of a quartic Bézier curve. (Chinese)
    Hua, Xuan Ji
    Fudan Xuebao 21 (1982), no. 2, 141--151, MathSciNet.  
  171. On the convexity of a cubic Bézier curve. (Chinese)
    Hua, Xuan Ji
    Math. Numer. Sinica 3 (1981), no. 4, 377--380, MathSciNet.  
  172. Bezier Polynomials in Compuer-Aided Geometric Design   
    Cliff Long and Vic Norton    
    College Math Journal: Volume 11, Number 5, (1980), Pages: 320-325.    
  173. Monotone and Convex Spline Interpolation  
    Eli Passow, John A. Roulier  
    SIAM Journal on Numerical Analysis, Vol. 14, No. 5. (Sep., 1977), pp. 904-909, Jstor.  
  174. 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.  
  175. Variation Norm Convergence of Function Sequences  
    Randolph Constantine, Jr.  
    Proceedings of the American Mathematical Society, Vol. 45, No. 3. (Sep., 1974), pp. 339-345, Jstor.  
  176. Area of Bernstein-Type Polynomials  
    Martin E. Price  
    Proceedings of the American Mathematical Society, Vol. 42, No. 1. (Jan., 1974), pp. 222-227, Jstor.  
  177. 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.  
  178. Numerical Evaluation of Multiple Integrals  
    Seymour Haber  
    SIAM Review, Vol. 12, No. 4. (Oct., 1970), pp. 481-526, Jstor.  
  179. 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