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A Parametric Quartic Spline Interpolant to Position, Tangent and Curvature

In: Geometric Modelling

Author

Listed:
  • Thomas A. Grandine

    (The Boing Company)

  • Thomas A. Hogan

    (The Boing Company)

Abstract

We describe a scheme that produces a convexity-preserving parametric quartic spline interpolant to position, tangent and curvature data. The resulting interpolant is curvature continuous and the scheme is local and 6-th order accurate. Moreover, the interpolant depends continuously on the given data.

Suggested Citation

  • Thomas A. Grandine & Thomas A. Hogan, 2004. "A Parametric Quartic Spline Interpolant to Position, Tangent and Curvature," Springer Books, in: Stefanie Hahmann & Guido Brunnett & Gerald Farin & Ron Goldman (ed.), Geometric Modelling, pages 65-78, Springer.
    • Handle: RePEc:spr:sprchp:978-3-7091-0587-0_6
    DOI: 10.1007/978-3-7091-0587-0_6
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