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The location of singular and inflection points for planar cubicB-spline curve

Abstract

Using vectors between control points (ai=Pi+1-Pi), parameters λ and μ (such that\(a_i + 1 = \lambda a_i + \mu a_i + 2\)) are used to study the shape classification of planar parametric cubicB-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

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    Wang C. Y., Shape classification of the parametric cubic curve and parametricB-spline cubic curve.CAD. 1981, 13 (4), 199–206.

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Author information

Correspondence to Zhenglin Ye.

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Ye, Z., Wang, J. The location of singular and inflection points for planar cubicB-spline curve. J. of Comput. Sci. & Technol. 7, 6–11 (1992). https://doi.org/10.1007/BF02946160

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Keywords

  • Singular Point
  • Control Point
  • Inflexion Point
  • Geometric Feature
  • Classification Region