Abstract
The process of constructing a parametric quadratic polynomial with four data points is discussed and a new method for determining knots in parametric curve interpolation is presented. The method has a parametric polynomial reproduction degree of two, i.e., an interpolation scheme which reproduces quadratic polynomials would reproduce parametric quadratic polynomials if the new method is used to construct knots in the interpolation process. Testing results on the efficiency of the new method are also included.
| Original language | English |
|---|---|
| Pages (from-to) | 399-416 |
| Number of pages | 18 |
| Journal | Computer Aided Geometric Design |
| Volume | 15 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 1998 |
Bibliographical note
Funding Information:* Corresponding author. J Work by this author is supported by the National Science Foundation (NSF-94(X)823).
Keywords
- Interpolation
- Knots
- Parametric curves
- Quadratic polynomials
ASJC Scopus subject areas
- Modeling and Simulation
- Automotive Engineering
- Aerospace Engineering
- Computer Graphics and Computer-Aided Design