Planar cubic Hermite G splines with small strain energy
نویسندگان
چکیده
In this paper, a classical problem of the construction of a cubic Hermite G1 continuous spline curve is considered. The only data given are interpolation points, while tangent directions are unknown. They are constructed in such a way that a particular minimization of the strain energy of the spline curve is applied. The resulting spline curve is regular, cusp-, loopand fold-free. Even more, it is independent of a particular parameterization. Numerical examples demonstrate that it is satisfactory as far as the shape of the curve is concerned.
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