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The Location of Singular and Inflection Points for Planar Cubic B-Spline Curve

Ye Zhenglin; Wang Jiaye;   

  1. Northwest University Xi an; Shandong University; Jinan;
  • Online:1992-01-10 Published:1992-01-10

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.

Key words: OpenMP,NOW,SVM,JIAJIA,NPB(NAS parallel benchmark);

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[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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