Metric Problems for Quadrics in Multidimensional Space
Symbolic Computation
2012-07-11 v1 Algebraic Geometry
Abstract
Given the equations of the first and the second order surfaces in multidimensional space, our goal is to construct a univariate polynomial one of the zeros of which coincides with the square of the distance between these surfaces. To achieve this goal we employ Elimination Theory methods. The proposed approach is also extended for the case of parameter dependent surfaces.
Cite
@article{arxiv.1207.2243,
title = {Metric Problems for Quadrics in Multidimensional Space},
author = {Alexei Yu. Uteshev and Marina V. Yashina},
journal= {arXiv preprint arXiv:1207.2243},
year = {2012}
}
Comments
21 pages, 1 figure