有理曲面的两种多项式逼近及收敛性
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Supported by the National Natural Science Foundation under Gra nt No.19992895 (国家自然科学基金); the Natural Science Foundation of Zhejiang Pr ovince of China under Grant No.698025 (浙江省自然科学基金); Foundation of State Key Basic Research 973 Program under Grant No.G1998030600 (973国家重点基础研究发展项目基金)


Two Types of Polynomial Approximation to Rat ional Surfaces and Their Convergence
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    参考文献
    [1] Farin, G. Curves and Surfaces for Computer-Aided Geometric Design. 3rd Edition, Boston: Academic Press, 1993.
    [2] Sederberg, T.W., Kakimoto, M. Approximating rational curves using polynom ial curves. In: Farin, G. ed. NURBS for Curves and Surfaces Design. Philadelphia : SIAM, 1991. 149~158.
    [3] Wang, Guo-jin, Sederberg, T.W. Computing areas bounded by rational Bézi er curves. CADDM, 1994,4(2):18~27.
    [4] Wang, Guo-jin, Sederberg, T.W., Chen, Fa-lai. On the convergence of pol ynomial approximation of rational functions. Journal of Approximation Theory, 19 97,89(3):267~288.
    [5] Wang, Guo-zhao, Zheng, Jian-min. Bounds on the moving control points of hybrid curves. Graphical Models and Image Processing, 1997,59(1):19~25.
    [6] Liu, Li-gang, Wang, Guo-jin. Recursive formulae for Hermite polynomial approximations to rational Bézier curves. In: Martin, R., Wang, W.P. eds. Proce edings of the Geometric Modeling and Processing 2000. California: IEEE Computer Society Press, 2000. 190~197.
    [7] Qiu, Guoxian. Polynomial approximation of rational Bézier surface [MS Thesis]. Hangzhou: Zhejiang University, 1997 (in Chinese).邱国贤.有理Béier曲面的多项式逼近[硕士学位论文].杭州:浙江大学,1997.
    [8] Davis, P.J. Interpolation and Approximation. New York: Dover, 1975.
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刘利刚,王国瑾.有理曲面的两种多项式逼近及收敛性.软件学报,2001,12(5):650-655

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