Title
First steps towards radical parametrization of algebraic surfaces
Abstract
We introduce the notion of radical parametrization of a surface, and we provide algorithms to compute such type of parametrizations for families of surfaces, like: Fermat surfaces, surfaces with a high multiplicity (at least the degree minus 4) singularity, all irreducible surfaces of degree at most 5, all irreducible singular surfaces of degree 6, and surfaces containing a pencil of low-genus curves. In addition, we prove that radical parametrizations are preserved under certain type of geometric constructions that include offset and conchoids.
Year
DOI
Venue
2013
10.1016/j.cagd.2012.12.004
Computer Aided Geometric Design
Keywords
DocType
Volume
radical parametrizations,irreducible surface,radical parametrization,low-genus curve,geometric construction,fermat surface,certain type,algebraic surface,irreducible singular surface,high multiplicity,degree minus
Journal
30
Issue
ISSN
Citations 
4
Computer Aided Geometric Design 30 (2013) issue 4, 374-388
9
PageRank 
References 
Authors
0.64
8
2
Name
Order
Citations
PageRank
J. Rafael Sendra162168.33
David Sevilla2707.60