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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.

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

  • 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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