Minkowski Operations of Sets with Application to Robot Localization
Robotics
2017-04-12 v1 Artificial Intelligence
Computational Geometry
Systems and Control
Abstract
This papers shows that using separators, which is a pair of two complementary contractors, we can easily and efficiently solve the localization problem of a robot with sonar measurements in an unstructured environment. We introduce separators associated with the Minkowski sum and the Minkowski difference in order to facilitate the resolution. A test-case is given in order to illustrate the principle of the approach.
Cite
@article{arxiv.1704.03103,
title = {Minkowski Operations of Sets with Application to Robot Localization},
author = {Benoit Desrochers and Luc Jaulin},
journal= {arXiv preprint arXiv:1704.03103},
year = {2017}
}
Comments
In Proceedings SNR 2017, arXiv:1704.02421