Name
Abstract | ||
|---|---|---|
A canal surface S, generated by a parametrized curve m(t), in R3 is the envelope of the set of spheres with radius r(t) centered at m(t). This concept generalizes the classical offsets (for r(t) = const) of plane curves. In this paper we develop elementary symbolic methods for generating a rational parametrization of canal surfaces generated by rational curves m(t) with rational radius variation r(t). In a pipe surface r(t) is constant. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1145/345542.345631 | ISSAC |
Keywords | Field | DocType |
rational parametrization,radius r,classical offset,rational radius variation,canal surface,rational curves m,symbolic parametrization,parametrized curve m,elementary symbolic method,pipe surface,plane curve,parametric curve,bra ket notation,notation,tensor notation | Discrete mathematics,Notation,Combinatorics,Parametrization,Bra–ket notation,SPHERES,Plane curve,Ricci calculus,Mathematics | Conference |
ISBN | Citations | PageRank |
1-58113-218-2 | 3 | 0.46 |
References | Authors | |
9 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Günter Landsmann | 1 | 12 | 1.76 |
| Josef Schicho | 2 | 21 | 7.70 |
| Franz Winkler | 3 | 54 | 7.00 |
| Erik Hillgarter | 4 | 9 | 1.27 |