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Authors: Stefan Boshe-Plois 1 ; Quynh Quang Ngo 1 ; Peter Albers 2 and Lars Linsen 1

Affiliations: 1 Westfälische Wilhelms-Universität Münster, Germany ; 2 University of Heidelberg, Germany

Keyword(s): Ensemble Visualization, Billiard Dynamics.

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.

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Paper citation in several formats:
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) - IVAPP; ISBN 978-989-758-402-2; ISSN 2184-4321, SciTePress, pages 185-192. DOI: 10.5220/0008956201850192

@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) - IVAPP},
year={2020},
pages={185-192},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0008956201850192},
isbn={978-989-758-402-2},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the 15th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2020) - IVAPP
TI - Visual Analysis of Billiard Dynamics Simulation Ensembles
SN - 978-989-758-402-2
IS - 2184-4321
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

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