Asymptotic Behavior of an Implicit Algebraic Plane Curve
Algebraic Geometry
2014-10-21 v2
Abstract
In this paper, we introduce the notion of infinity branches as well as approaching curves. We present some properties which allow us to obtain an algorithm that compares the behavior of two implicitly defined algebraic plane curves at the infinity. As an important result, we prove that if two plane algebraic curves have the same asymptotic behavior, the Hausdorff distance between them is finite.
Keywords
Cite
@article{arxiv.1302.2522,
title = {Asymptotic Behavior of an Implicit Algebraic Plane Curve},
author = {A. Blasco and S. Perez-Diaz},
journal= {arXiv preprint arXiv:1302.2522},
year = {2014}
}