Simple Gestalt Algebra

Eckart Michaelsen; Vera V. Yashina

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Paper

Simple Gestalt Algebra

In Proceedings of the 4th International Workshop on Image Mining. Theory and Applications - Volume 0VISIGRAPP, 38-47, 2013 , Barcelona, Spain

Authors: Eckart Michaelsen ¹ and Vera V. Yashina ²

Affiliations: ¹ FhG-IOSB, Germany ; ² Dorodnicyn Centre RAS, Russian Federation

Keyword(s): gestalt perception, image algebra, symmetry recognition

Abstract: The laws of Gestalt perception rule how parts are assembled into a perceived aggregate. This contribution defines them in an algebraic setting. Operations are defined for mirror symmetry and repetition in rows respectively. Deviations from the ideal case are handled using positive and differentiable assessment functions achieving maximal value for the ideal case and approaching zero if the parts mutually violate the Gestalt laws. Practically, these definitions and calculations can be used in two ways: 1. Images with Gestalts can be rendered by using random decisions with the assessment functions as densities; 2. given an image (in which Gestalts are supposed) Gestalt-terms are constructed successively, and the ones with high assessment values are accepted as plausible, and thus rec-ognized.

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Paper citation in several formats:

Michaelsen, E. and V. Yashina, V. (2013). Simple Gestalt Algebra. In Proceedings of the 4th International Workshop on Image Mining. Theory and Applications (VISIGRAPP 2013) - IMTA-4; ISBN 978-989-8565-50-1, SciTePress, pages 38-47. DOI: 10.5220/0004393300380047

@conference{imta-413,
author={Eckart Michaelsen. and Vera {V. Yashina}.},
title={Simple Gestalt Algebra},
booktitle={Proceedings of the 4th International Workshop on Image Mining. Theory and Applications (VISIGRAPP 2013) - IMTA-4},
year={2013},
pages={38-47},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004393300380047},
isbn={978-989-8565-50-1},
}

TY - CONF

JO - Proceedings of the 4th International Workshop on Image Mining. Theory and Applications (VISIGRAPP 2013) - IMTA-4
TI - Simple Gestalt Algebra
SN - 978-989-8565-50-1
AU - Michaelsen, E.
AU - V. Yashina, V.
PY - 2013
SP - 38
EP - 47
DO - 10.5220/0004393300380047
PB - SciTePress