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Computing Rational Parametrizations of Canal Surfaces

โœ Scribed by MARTIN PETERNELL; HELMUT POTTMANN

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
566 KB
Volume
23
Category
Article
ISSN
0747-7171

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โœฆ Synopsis

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) possesses rational parametrizations. We derive algorithms for the computation of these parametrizations and put particular emphasis on low degree representations.

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