APPROXIMATION OF DEVELOPABLE SURFACES WITH CONE SPLINE SURFACES

Authors
LEOPOLDSEDER S POTTMANN H
Citation
S. Leopoldseder et H. Pottmann, APPROXIMATION OF DEVELOPABLE SURFACES WITH CONE SPLINE SURFACES, Computer Aided Design, 30(7), 1998, pp. 571-582
Citations number
28
Categorie Soggetti
Computer Science Software Graphycs Programming","Computer Science Software Graphycs Programming
Journal title
Computer Aided Design → ACNP
ISSN journal
00104485
Volume
30
Issue
7
Year of publication
1998
Pages
571 - 582
Database
ISI
SICI code
0010-4485(1998)30:7<571:AODSWC>2.0.ZU;2-1
Abstract
Developable surfaces are modelled with pieces of right circular cones. These cone spline surfaces are well suited for applications: they pos sess degree two parametric and implicit representations. Bending seque nces and the development can be explicitly computed and the offsets ar e of the same type. The algorithms are based on elementary analytic an d constructive geometry. There appear to be interesting relations to p lanar and spherical are splines. (C) 1998 Elsevier Science Ltd. All ri ghts reserved.