Visual Analysis of Billiard Dynamics Simulation Ensembles

Stefan Boshe-Plois, Quynh Quang Ngo, Peter Albers, Lars Linsen

2020

Abstract

Mathematical billiards assume a table of a certain shape and dynamical rules for handling collisions. Some trajectories exhibit distinguished patterns. Detecting such trajectories manually for a given billiard is cumbersome, especially, when assuming an ensemble of billiards with different parameter settings. We propose a visual analysis approach for simulation ensembles of billiard dynamics based on phase-space visualizations and multi-dimensional scaling. We apply our methods to the well-studied approach of dynamical billiards for validation and to the novel approach of symplectic billiards for new observations.

Paper Citation

in Harvard Style

Boshe-Plois S., Ngo Q., Albers P. and Linsen L. (2020). Visual Analysis of Billiard Dynamics Simulation Ensembles. In Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2020) - Volume 3: IVAPP; ISBN 978-989-758-402-2, SciTePress, pages 185-192. DOI: 10.5220/0008956201850192

in Bibtex Style

@conference{ivapp20,
author={Stefan Boshe-Plois and Quynh Quang Ngo and Peter Albers and Lars Linsen},
title={Visual Analysis of Billiard Dynamics Simulation Ensembles},
booktitle={Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2020) - Volume 3: IVAPP},
year={2020},
pages={185-192},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008956201850192},
isbn={978-989-758-402-2},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2020) - Volume 3: IVAPP
TI - Visual Analysis of Billiard Dynamics Simulation Ensembles
SN - 978-989-758-402-2
AU - Boshe-Plois S.
AU - Ngo Q.
AU - Albers P.
AU - Linsen L.
PY - 2020
SP - 185
EP - 192
DO - 10.5220/0008956201850192
PB - SciTePress