A GENERALIZATION OF CUBIC CURVES AND THEIR BEZIER REPRESENTATIONS

Authors
QU R GONG W
Citation
R. Qu et W. Gong, A GENERALIZATION OF CUBIC CURVES AND THEIR BEZIER REPRESENTATIONS, Mathematical and computer modelling, 28(1), 1998, pp. 77-89
Citations number
10
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming",Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
Journal title
Mathematical and computer modelling → ACNP
ISSN journal
08957177
Volume
28
Issue
1
Year of publication
1998
Pages
77 - 89
Database
ISI
SICI code
0895-7177(1998)28:1<77:AGOCCA>2.0.ZU;2-H
Abstract
In this paper, the relation between difference algorithms and the repr esentation of parametric curves is studied in detail. It is shown that stationary difference algorithms could generate a class of curves, th e so-called D-curves, that are suitable in free-form curve and surface modelling and design. The corresponding D-Bezier curves are also cons tructed and their properties studied. This generalizes our findings in the study of a simple three-term difference algorithm in which it has been concluded that a simple three-term difference algorithm could ge nerate both conic curves, general monomial curves, and exponential spi ral curves. (C) 1998 Elsevier Science Ltd. All rights reserved.