A resultant approach to detect intersecting curves in $\PP^3$
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Abstract
Given two curves in , either implicitly or by a parameterization, we want to check if they intersect. For that purpose, we present and further develop generalized resultant techniques. Our aim is to provide a closed formula in the inputs which vanishes if and only if the two curves intersect. This could be useful in Computer Aided Design, for computing the intersection of algebraic surfaces.
Cite
@article{arxiv.math/0301088,
title = {A resultant approach to detect intersecting curves in $\PP^3$},
author = {Laurent Buse and Andre Galligo},
journal= {arXiv preprint arXiv:math/0301088},
year = {2007}
}
Comments
21 pages, 2 figures