A GEOMETRICAL APPROACH TO CURVATURE CONTINUOUS JOINTS OF RATIONAL CURVES

Authors
GEISE G JUTTLER B
Citation
G. Geise et B. Juttler, A GEOMETRICAL APPROACH TO CURVATURE CONTINUOUS JOINTS OF RATIONAL CURVES, Computer aided geometric design, 10(2), 1993, pp. 109-122
Citations number
17
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
10
Issue
2
Year of publication
1993
Pages
109 - 122
Database
ISI
SICI code
0167-8396(1993)10:2<109:AGATCC>2.0.ZU;2-7
Abstract
Rational Bezier curves are discussed from a projective-geometrical poi nt of view. A projectively invariant Bezier. representation of rationa l curves is presented. Geometric continuity of second and third order is characterized by special projective maps. These maps (certain persp ective collineations) preserve curvature properties of a curve at a po int. As an application, constructions for geometrically continuous joi nts of rational curves are derived.