| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 439408 | Computer-Aided Design | 2015 | 7 Pages |
Abstract
•We give a simple description of the missing area of ruled surface parametrization.•We provide algorithms to compute, in each case, the missing area.•We analyze the real and the complex case.
Parametric representations do not cover, in general, the whole geometric object that they parametrize. This can be a problem in practical applications. In this paper we analyze the question for surfaces of revolution generated by real rational profile curves, and we describe a simple small superset of the real zone of the surface not covered by the parametrization. This superset consists, in the worst case, of the union of a circle and the mirror curve of the profile curve.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Graphics and Computer-Aided Design
Authors
J. Rafael Sendra, Carlos Villarino, David Sevilla,