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