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Missing sets in rational parametrizations of surfaces of revolution
- Publication Year :
- 2014
-
Abstract
- 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.<br />Comment: 13 pages, 8 jpg figures
- Subjects :
- Mathematics - Algebraic Geometry
Computer Science - Symbolic Computation
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1410.5458
- Document Type :
- Working Paper