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    Abstract:

    In this paper, two methods of changing the control parameter a and changing control points are presented for the shape modification of C-Béier curves. The relation between C-Béier curves and the control parameter a is obtained based on the analysis of the derivative C-Béier basis functions. Furthermore, the way of modifying the shape by the adjustment of a is introduced. On the other hand, the algorithm of shape control by modifying control points is given relying on the model between the shape of the curve and control points. The results have been applied to the CAD/CAM system for speaker cone models, which has got a good effect.

    Reference
    [1] Zhang, Ji-wen. C-Curves: an extension of cubic curves. Computer Aided Geometric Design, 1996,13(3):199~217.
    [2] Zhang, Ji-wen. Two different forms of C-B-splines. Computer Aided Geometric Design, 1997,14(1):31~41.
    [3] Zhang, Ji-wen. C-Bézier curves and surfaces. Graphical Models and Image Processing, 1999,61(1):2~15.
    [4] Piegl, L. Modifying the shape of rational B-splines, Part 1: curves. Computer Aided Design, 1989,21(8):509~518.
    [5] Hu, Shi-min, Zhu, Xiang, Sun, Jia-guang. Shape modification of NURBS surfaces via constrained optimization. Journal of Software, 2000,11(12):1567~1571 (in Chinese).胡事民,朱翔,孙家广.基于约束优化的NURBS曲面形状修改.软件学报,2000,11(12):1567~1571.
    [6] Sánchez-Reyes, J. A simple technique for NURBS shape modification. IEEE Computer Graphics and Application, 1997,17(1): 52~59.
    [7] Juhász, I. Weight-Based modification of NURBS curves. Computer Aided Geometric Design, 1999,16(5):377~383.
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樊建华,张纪文,邬义杰. C-Bézier曲线的形状修改.软件学报,2002,13(11):2194-2200

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History
  • Received:April 16,2001
  • Revised:June 25,2001
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