Liaison Linkages
Robotics
2017-07-19 v1 Symbolic Computation
Algebraic Geometry
Abstract
The complete classification of hexapods - also known as Stewart Gough platforms - of mobility one is still open. To tackle this problem, we can associate to each hexapod of mobility one an algebraic curve, called the configuration curve. In this paper we establish an upper bound for the degree of this curve, assuming the hexapod is general enough. Moreover, we provide a construction of hexapods with curves of maximal degree, which is based on liaison, a technique used in the theory of algebraic curves.
Cite
@article{arxiv.1510.01127,
title = {Liaison Linkages},
author = {Matteo Gallet and Georg Nawratil and Josef Schicho},
journal= {arXiv preprint arXiv:1510.01127},
year = {2017}
}
Comments
40 pages, 6 figures