COMPUTING RATIONAL PARAMETRIZATIONS OF CANAL SURFACES

Authors
PETERNELL M POTTMANN H
Citation
M. Peternell et H. Pottmann, COMPUTING RATIONAL PARAMETRIZATIONS OF CANAL SURFACES, Journal of symbolic computation, 23(2-3), 1997, pp. 255-266
Citations number
18
Categorie Soggetti
Mathematics,"Computer Sciences, Special Topics",Mathematics,"Computer Science Theory & Methods
Journal title
Journal of symbolic computation → ACNP
ISSN journal
07477171
Volume
23
Issue
2-3
Year of publication
1997
Pages
255 - 266
Database
ISI
SICI code
0747-7171(1997)23:2-3<255:CRPOCS>2.0.ZU;2-5
Abstract
A canal surface is the envelope of a one-parameter set of spheres with radii r(t) and centers m(t). It is shown that any canal surface to a rational spine curve m(t) and a rational radius function r(t) possesse s rational parametrizations. We derive algorithms for the computation of these parametrizations and put particular emphasis on low degree re presentations. (C) 1997 Academic Press Limited.