A METHOD FOR DETERMINING KNOTS IN PARAMETRIC CURVE INTERPOLATION

Authors
ZHANG CM CHENG FH MIURA KT
Citation
Cm. Zhang et al., A METHOD FOR DETERMINING KNOTS IN PARAMETRIC CURVE INTERPOLATION, Computer aided geometric design, 15(4), 1998, pp. 399-416
Citations number
16
Categorie Soggetti
Computer Science Software Graphycs Programming",Mathematics,Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
15
Issue
4
Year of publication
1998
Pages
399 - 416
Database
ISI
SICI code
0167-8396(1998)15:4<399:AMFDKI>2.0.ZU;2-T
Abstract
The process of constructing a parametric quadratic polynomial with fou r data points is discussed and a new method for determining knots in p arametric curve interpolation is presented. The method has a parametri c polynomial reproduction degree of two, i.e., an interpolation scheme which reproduces quadratic polynomials would reproduce parametric qua dratic polynomials if the new method is used to construct knots in the interpolation process. Testing results on the efficiency of the new m ethod are also included. (C) 1998 Elsevier Science B.V.