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Knot-Removal and Fairing of B-Spline Curves
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    Abstract:

    The problem of knot-removal for B-spline curves is investigated in this paper. The sufficient and necessary condition for removing knots of B-spline curves e xactly is simplified. Based on the constrained optimization method, a new algori thm of knot-removal is derived by perturbing the control points of B-spline cu rves. This method can also be used to fair B-spline curves.

    Reference
    [1] Lyche, T., Morken, K. Knot removal for parametric B-spline curves and surfaces. Computer Aided Geometric Design, 1987,4(3):217～230.
    [2] Lyche, T., Morken, K. A data reduction strategy for splines with applicat ion to the approximation of function and data. IMA Journal of Numerical Analysis , 1988,8(2):185～208.
    [3] Tiller, W. Knot-removal algorithms for NURBS curves and surfaces. Comput er Aided Design, 1992,24(8):445～453.
    [4] Kjellander, J. Smoothing of cubic parametric splines. Computer Aided Desi gn, 1983,15(3):175～179.
    [5] Farin, G., Rein, G., Sapidis, N., et al. Fairing cubic B-spline curv es. Computer Aided Geometric Design, 1987,4(1～2):91～103.
    [6] Sapidis, N., Farin, J. Automatic fairing algorithm for B-spline curves. Computer Aided Design, 1990,22(2):121～129.
    [7] Eck, M., Hadenfeld, J. Knot-removal for B-spline curves. Computer Aide d Design, 1995,12(3):259～282.
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满家巨,胡事民,雍俊海,孙家广. B-样条曲线的节点去除与光顺.软件学报,2001,12(1):143-147

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History
  • Received:July 14,1999
  • Revised:October 27,1999
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