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Volume 7 Issue 1
January  1992
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Ye Zhenglin, Wang Jiaye. The Location of Singular and Inflection Points for Planar Cubic B-Spline Curve[J]. Journal of Computer Science and Technology, 1992, 7(1): 6-11.
Citation: Ye Zhenglin, Wang Jiaye. The Location of Singular and Inflection Points for Planar Cubic B-Spline Curve[J]. Journal of Computer Science and Technology, 1992, 7(1): 6-11.
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The Location of Singular and Inflection Points for Planar Cubic B-Spline Curve

  • Northwest University Xi an; Shandong University; Jinan;

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  • Published Date: January 09, 1992
    Abstract
  • Using vectors between control points(a_i=P_(i+1)-P_i),parameters λ and μ(such that a_(i+1)=λ_(ai+μ_(a_i+2))are used to study the shape classification of planar parametric cubic B-spline curves. The regiosn of λμ space corresponding to different geometric features on the curves are investigated.These results are useful for curve design.
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    • References (5)
  • [1]
    Carl de boor. A Practical Guide to Splines. Springer-Verlag..New York Inc., 1978.,
    [2]
    Gordon.W.J. and Riesenfeld.R.F., B-spline curves and surfaces. In Computer Aided Geometric Design, Academic Press. 1974,
    [3]
    Faux.I.D. and Pratt.M.J.. Computational Geometry for Design and Manufacture. John Wiley. New York.l979.
    [4]
    Wang.C.Y, Shape classification of the parametric cubic curve and parametric B-spline cubic curve. CAD. 1981,13 (4),199-206.
    [5]
    苏步青,刘鼎元, 计算几何, 上海科学技术出版社, 1980年.
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