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Volume 13 Issue 3
May  1998
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Fang Kui, Tan Jianrong, Zhu Guoqing. C~2-(C~3-) Continuous Interpolation Spline Curve and Surface[J]. Journal of Computer Science and Technology, 1998, 13(3): 238-245.
Citation: Fang Kui, Tan Jianrong, Zhu Guoqing. C~2-(C~3-) Continuous Interpolation Spline Curve and Surface[J]. Journal of Computer Science and Technology, 1998, 13(3): 238-245.
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C~2-(C~3-) Continuous Interpolation Spline Curve and Surface

  • +7th Department; National University of Defense Technology; Changsha 410073; P.R. China State Keg Laboratory of CAD/CG; Zhejiang Universitg; Hangzhou 310027; P.R. China;

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  • Published Date: May 09, 1998
    Abstract
  • Free-formed or sculptured surfaces in engineering products are frequently constructed from a set of measured 3D data points. C2- (C3-) continuity approach is important in this field. This paper presents a method of rectangular interpolation of given 3D data array which is regularly arranged. The interpolation surface which is constructed by tensor product has desirable properties (second-order or third-order continuity locality) and is implemented and adjusted easily. Higher order continuity methods are als…
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    • References (3)
  • [1]
    Barnhill R E. A survey of the representation and design of surface. IEEE, CG & A, 1983, (10): 9-16.
    [2]
    Bohm W. A survey of curve and surface methods in CAGD. Computer Aided Geometrical Deaign, 1984, 1(1):1-60.
    [3]
    Coons S A. Surface for Computer-Aided Design of Space Figure. Mech. Eng. Depart., MIT, 1964 ……….
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