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TitleA Quartic Spline Based on a Variational Approach (In Book)
inGeometric Modeling:Dagstuhl 1993
Author(s) Bernd Hamann, T.A. Foley
Editor(s) Gerald Farin, Hans Hagen, H. Noltemeier
Keyword(s)Approximation, calculus of variation, interpolation, spline
Year 1995
SeriesComputing Suppl. 10
Pages199--210
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Abstract The C2 continuous cubic spline can be viewed as the solution of a variational problem. The spline derived in this paper is obtained by solving a slightly different variational problem that depends on the input data. The goal is to obtain a spline that may have high second derivatives at the interpolated points and low second derivatives between two consecutive interpolated points. The solution is a C2 continuous quartic spline.