Choosing nodes in parametric curve interpolation
Computer-Aided Design
Convexity-preserving interpolatory parametric splines of non-uniform polynomial degree
Computer Aided Geometric Design
High order approximation method for curves
Computer Aided Geometric Design
Geometric Hermite interpolation with maximal order and smoothness
Computer Aided Geometric Design
A general framework for high-accuracy parametric interpolation
Mathematics of Computation
Shape-preserving interpolants with high smoothness
Journal of Computational and Applied Mathematics
Geometric Hermite curves with minimum strain energy
Computer Aided Geometric Design
On Geometric Interpolation by Polynomial Curves
SIAM Journal on Numerical Analysis
On geometric interpolation of circle-like curves
Computer Aided Geometric Design
Note on curve and surface energies
Computer Aided Geometric Design
On the deviation of a parametric cubic spline interpolant from its data polygon
Computer Aided Geometric Design
High accuracy geometric Hermite interpolation
Computer Aided Geometric Design
| Hi-index | 7.29 |
In this paper, a classical problem of the construction of a cubic G^1 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.