Name
Abstract | ||
|---|---|---|
A pipe (or tubular) surface is the envelope of a one-parameter family of spheres with constant radii r and centers C(t). In this paper we investigate necessary and sufficient conditions for the nonsingularity of pipe surfaces. In addition, when C(t) is a rational function, we develop an algorithmic method for the rational parametrization of such a surface. The latter is based on finding two rational functions alpha(t) and beta(t) such that /C'(t)/(2) = alpha(2)(t) + beta(2)(t) (Lu and Portmann, 1996). (C) 1998 Elsevier Science B.V. |
Year | DOI | Venue |
|---|---|---|
1998 | 10.1016/S0167-8396(97)00042-3 | COMPUTER AIDED GEOMETRIC DESIGN |
Keywords | Field | DocType |
pipe surface, local self-intersection, global self-intersection, rational parametrization | Topology,Parametrization,Mathematical analysis,Computational geometry,Radius,SPHERES,Geometry,Rational function,Mathematics | Journal |
Volume | Issue | ISSN |
15 | 5 | 0167-8396 |
Citations | PageRank | References |
34 | 2.64 | 7 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Takashi Maekawa | 1 | 449 | 35.38 |
| Nicholas M. Patrikalakis | 2 | 813 | 71.51 |
| Takis Sakkalis | 3 | 347 | 34.52 |
| Guoxin Yu | 4 | 39 | 3.16 |