Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630391 | Applied Mathematics and Computation | 2011 | 7 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Gašper Jaklič, Emil Žagar,