Characterization of Rational Ruled Surfaces
Symbolic Computation
2014-10-28 v2 Computational Geometry
Algebraic Geometry
Abstract
The ruled surface is a typical modeling surface in computer aided geometric design. It is usually given in the standard parametric form. However, it can also be in the forms than the standard one. For these forms, it is necessary to determine and find the standard form. In this paper, we present algorithms to determine whether a given implicit surface is a rational ruled surface. A parametrization of the surface is computed for the affirmative case. We also consider the parametric situation. More precisely, after a given rational parametric surface is determined as a ruled one, we reparameterize it to the standard form.
Cite
@article{arxiv.1305.2462,
title = {Characterization of Rational Ruled Surfaces},
author = {Sonia Perez-Diaza and Liyong Shen},
journal= {arXiv preprint arXiv:1305.2462},
year = {2014}
}
Comments
31 pages