Curvature variation minimizing cubic Hermite interpolants

@article{Jaklic2011CurvatureVM,
  title={Curvature variation minimizing cubic Hermite interpolants},
  author={Gasper Jaklic and Emil Zagar},
  journal={Applied Mathematics and Computation},
  year={2011},
  volume={218},
  pages={3918-3924}
}
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 G cubic… CONTINUE READING

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