Curvature variation minimizing cubic Hermite interpolants |
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Authors: | Gašper Jakli? Emil ?agar |
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Institution: | a FMF and IMFM, University of Ljubljana, Jadranska 19, Ljubljana, Slovenia b PINT, University of Primorska, Muzejski trg 2, Koper, Slovenia |
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Abstract: | In this paper, planar parametric Hermite cubic interpolants with small curvature variation are studied. By minimization of an appropriate approximate functional, it is shown that a unique solution of the interpolation problem exists, and has a nice geometric interpretation. The best solution of such a problem is a quadratic geometric interpolant. The optimal approximation order 4 of the solution is confirmed. The approach is combined with strain energy minimization in order to obtain G1 cubic interpolatory spline. |
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Keywords: | Geometric Hermite interpolation Minimization Curvature |
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