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A Parametric Quartic Spline Interpolant to Position, Tangent and Curvature

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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.

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  1. The Boing Company, 3707, MC 7L-21 Seattle, WA 98124-2207, USA

    Thomas A. Grandine & Thomas A. Hogan

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  1. Thomas A. Grandine
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  2. Thomas A. Hogan
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Correspondence to Thomas A. Grandine.

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Grandine, T., Hogan, T. A Parametric Quartic Spline Interpolant to Position, Tangent and Curvature. Computing 72, 65–78 (2004). https://doi.org/10.1007/s00607-003-0047-x

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  • DOI: https://doi.org/10.1007/s00607-003-0047-x

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