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.
|Original language||English (US)|
|Number of pages||12|
|Journal||Journal of Symbolic Computation|
|State||Published - Jan 1 1997|
ASJC Scopus subject areas
- Algebra and Number Theory
- Computational Mathematics