Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639929 | Journal of Computational and Applied Mathematics | 2011 | 8 Pages |
Abstract
In this paper, a classical problem of the construction of a cubic G1G1 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Gašper Jaklič, Emil Žagar,