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Home > Archive>Volume 11, Issue 12, 2000 >1567-1571
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Shape Modification of NURBS Surfaces via Constrained Optimization
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    Abstract:

    A new method for shape modification of NURBS surfaces is proposed in this paper. Explicit formulae for computing new control points are derived by using constrained opimization method. Examples are also given to compare the results of Piegl's method with those of the new method.

    Reference
    [1]Piegl, L., Tiller, W. The NURBS Book. Springer-Verlag, Berlin, Heidelberg, New York, 1995.
    [2]Farin, G. NURBS curves and surface from projective geometry to practical use. In: Peters, A.K., ed. Wellesley, MA, 1995.
    [3]Piegl, L. Modifying of the shape of rational B-spline, part 1: curves. Computer Aided Design, 1989,21(8):509～518.
    [4]Piegl, L. Modifying of the shape of rational B-spline, part 2: surfaces. Computer Aided Design, 1989,21(9):538～546.
    [5]Terzopoulos, D., Qin, H. Dynamic NURBS with geometric constraints for interactive sculpting. ACM Transactions on Graphics, 1994,13(2):103～106.
    [6]Zheng, J.M., Chan, K.W., Gibson, I. A new approach for direct manipulation of free-form curve. Computer Graphics Forum, 1998,17(3):327～334.
    [7]Hsu, W.M., Hughes, J.F., Kaufman, H. Direct manipulation of free-form deformation. Computer Graphics, 1992,26(4):177～183.
    [8]Celniker, G., Gossard, D. Deformable curve and surface finite-elements for free-form shape design. Computer Graphics, 1991,25(4):327～334.
    [9]Hu Shi-min, Zhou Deng-wen, Sun Jia-guang. Shape modification of NURBS curves via constrained optimization. In: Chen Hou-peng ed. Proceedings of CAD/Graphics'99. Shanghai: Wen Hui Publishers, 1999. 958～962.
    [10]Hu Shi-min, Sun Jia-guang, Jin Tong-guang, et al. Computing the parameters of points in NURBS curves and surfaces via moving affine frame method. Journal of Software, 2000,11(1):49～53 (in Chinese).
    [10]胡事民，孙家广，金通光，等.基于活动仿射标架反求Nurbs曲线/曲面参数.软件学报，2000，11(1)：49～53.
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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

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