Moving Planes and Singular Points of Rational Parametric Surfaces
Numerical Analysis
2010-01-14 v2 Commutative Algebra
Abstract
In this paper we discuss the relationship between the moving planes of a rational parametric surface and the singular points on it. Firstly, the intersection multiplicity of several planar curves is introduced. Then we derive an equivalent definition for the order of a singular point on a rational parametric surface. Based on the new definition of singularity orders, we derive the relationship between the moving planes of a rational surface and the order of singular points. Especially, the relationship between the -basis and the order of a singular point is also discussed.
Cite
@article{arxiv.0909.2810,
title = {Moving Planes and Singular Points of Rational Parametric Surfaces},
author = {Falai Chen and Xuhui Wang},
journal= {arXiv preprint arXiv:0909.2810},
year = {2010}
}
Comments
13 pages