Shape preserving interpolation by cubic G1 splines in $${\mathbb{R}^3}$$ |
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Authors: | Gašper Jaklič Emil Žagar |
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Institution: | (1) FMF, University of Ljubljana, Ljubljana, Slovenia;(2) PINT, University of Primorska, Koper, Slovenia;(3) FMF and IMFM, University of Ljubljana, Ljubljana, Slovenia |
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Abstract: | In this paper, G
1 continuous cubic spline interpolation of data points in , based on a discrete approximation of the strain energy, is studied. Simple geometric conditions on data are presented that
guarantee the existence of the interpolant. The interpolating spline is regular, loop-, cusp- and fold-free.
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Keywords: | Hermite interpolation Geometric continuity Spline Minimization |
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