BEZIER REPRESENTATION OF CONICS OF CONTACT IN THE PROJECTIVE PLANE

Authors
GEISE G NESTLER T
Citation
G. Geise et T. Nestler, BEZIER REPRESENTATION OF CONICS OF CONTACT IN THE PROJECTIVE PLANE, Computer aided geometric design, 11(3), 1994, pp. 233-245
Citations number
8
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
11
Issue
3
Year of publication
1994
Pages
233 - 245
Database
ISI
SICI code
0167-8396(1994)11:3<233:BROCOC>2.0.ZU;2-Q
Abstract
The subject of this paper are conics which have contact of second orde r with a given plane curve. A representation as rational quadratic Bez ier curves is derived. Based on this representation, a condition is fo rmulated which characterizes second-order contact of two plane curves. The results are applied to the problem of connecting tangent elements by conic segments with continuous curvature at the junction points. F urthermore, the GC2-connection of two curvature elements by two conic segments is dealt with.