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
AMS Subject Classification 41A05 - 65D05 - 41A15 - 41A25 - 41A29 - 65D17
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