|Title||A Quartic Spline Based on a Variational Approach
(In Book) |
|in||Geometric Modeling:Dagstuhl 1993|
Bernd Hamann, T.A. Foley |
Gerald Farin, Hans Hagen, H. Noltemeier |
|Keyword(s)||Approximation, calculus of variation, interpolation, spline|
|Series||Computing Suppl. 10|
The C2 continuous cubic spline can be viewed as the solution of a variational problem. The spline derived in this paper is obtained by solving a slightly different variational problem that depends on the input data. The goal is to obtain a spline that may have high second derivatives at the interpolated points and low second derivatives between two consecutive interpolated points. The solution is a C2| continuous quartic spline.