Abstract
Constructing a parametric spline curve to pass through a set of data points requires assigning a knot to each data point. In this paper we discuss the construction of parametric quadratic splines and present a method to assign knots to a set of planar data points. The assigned knots are invariant under affine transformations of the data points, and can be used to construct a parametric quadratic spline which reproduces parametric quadratic polynomials. Results of comparisons of the new method with several known methods are included. copy; 1999 Elsevier Science B.V. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 21-36 |
| Number of pages | 16 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 102 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 15 1999 |
Bibliographical note
Funding Information:* Corresponding author. E-mail: [email protected]. l Supported by Ford. 2 Supported by NSF (9722728), Ford and Honda.
Keywords
- Interpolation
- Knots
- Parametric quadratic curve
- Spline
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics