Planar cubic G [sup] 1 interpolatory splines with small strain energy.
Gašper Jaklic and Emil Žagar
J. comput. appl. math. Volume 235, Number 8, pp. 2758-2765, 2011. ISSN 0377-0427

Abstract

In this paper, a classical problem of the construction of a cubic G1 continuous interpolatory spline curve is considered. The only data prescribed are interpolation points, while tangent directions are unknown. They are constructed automatically in such a way that a particular minimization of the strain energy of the spline curve is applied. The resulting spline curve is constructed locally and is regular, cusp-, loop- and fold-free. Numerical examples demonstrate that it is satisfactory as far as the shape of the curve is concerned.

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