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A Parametric Quartic Spline Interpolant to Position, Tangent and Curvature

Thomas A. Grandine () and Thomas A. Hogan ()
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Thomas A. Grandine: The Boing Company
Thomas A. Hogan: The Boing Company

A chapter in Geometric Modelling, 2004, pp 65-78 from Springer

Abstract: 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.

Keywords: Hermite interpolation; shape-preservation; curvature continuity; 41A05; 65D05; 41A15; 41A25; 41A29; 65D17 (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-7091-0587-0_6

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DOI: 10.1007/978-3-7091-0587-0_6

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