# A Set of Optimal Looks on a Symmetric Target

### Bao Nguyen

#### Abstract

In this paper, we identify a set of multiple looks from symmetry that optimize the expected probability of detection in a mine hunting operation or in a search & rescue mission. We assume that the target exhibits mirror symmetry, i.e., that the left hand side of a target is the mirror image of the right hand side of the same target. In addition, it is assumed that the cross section is maximal at the interface between the left hand side and the right hand side and decreases monotonically as we move away from the interface. The optimal strategy consists of choosing aspect angles to inspect a target to ensure that the probability of detection is maximal. This is generally an NP-hard problem in the sense that to find the optimal angles in n dimensions normally consumes a lot of computational power. Fortunately, in this problem, we are use a novel combination of variational calculus and symmetry principles to determine analytically the locally optimal angles. The solutions will help the operators plan for an effective strategy in a mine hunting operation or in a search and rescue mission. Such a strategy is robust as most targets of interest possess approximate mirror symmetry along one or more axes. For example, a human body or a canoe or a mine when cut in half yield approximately such symmetry.

Download#### Paper Citation

#### in Harvard Style

Nguyen B. (2018). **A Set of Optimal Looks on a Symmetric Target**.In *Proceedings of 8th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: DMSS,* ISBN 978-989-758-323-0, pages 477-485. DOI: 10.5220/0006921104770485

#### in Bibtex Style

@conference{dmss18,

author={Bao Nguyen},

title={A Set of Optimal Looks on a Symmetric Target},

booktitle={Proceedings of 8th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: DMSS,},

year={2018},

pages={477-485},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0006921104770485},

isbn={978-989-758-323-0},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of 8th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: DMSS,

TI - A Set of Optimal Looks on a Symmetric Target

SN - 978-989-758-323-0

AU - Nguyen B.

PY - 2018

SP - 477

EP - 485

DO - 10.5220/0006921104770485