English

Optimal separator for an ellipse; Application to localization

Numerical Analysis 2023-05-19 v1 Numerical Analysis

Abstract

This paper proposes a minimal contractor and a minimal separator for an ellipse in the plane. The task is facilitated using actions induced by the hyperoctahedral group of symmetries. An application related to the localization of an object using multiple sonars is proposed.

Cite

@article{arxiv.2305.10842,
  title  = {Optimal separator for an ellipse; Application to localization},
  author = {Luc Jaulin},
  journal= {arXiv preprint arXiv:2305.10842},
  year   = {2023}
}

Comments

16 pages and 11 figures

R2 v1 2026-06-28T10:38:03.195Z