Operations for Shape Transformations based on Angles

Momo Tosue; Sosuke Moriguchi; Kazuko Takahashi

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Paper

Operations for Shape Transformations based on Angles

Topics: Knowledge Representation and Reasoning

In Proceedings of the 11th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART, 576-583, 2019 , Prague, Czech Republic

Authors: Momo Tosue ; Sosuke Moriguchi and Kazuko Takahashi

Affiliation: Kwansei Gakuin University, 2-1 Gakuen, Sanda, Hyogo and Japan

Keyword(s): Symbolic Expression, Diagram, Abstract Rewriting System, Qualitative Spatial Representation.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Knowledge Representation and Reasoning ; Symbolic Systems

Abstract: We propose a symbolic expression for a qualitative shape of an object in the sequence of rotation angles of edges. We give a drawing algorithm for the expression based on rewriting strings and prove that we can draw a figure on a two-dimensional plane, for a consistent expression. We also refine this algorithm as an abstract rewriting system to represent shapes of figures and their changes, and prove that the system has confluence and termination.

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Paper citation in several formats:

Tosue, M.; Moriguchi, S. and Takahashi, K. (2019). Operations for Shape Transformations based on Angles. In Proceedings of the 11th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART; ISBN 978-989-758-350-6; ISSN 2184-433X, SciTePress, pages 576-583. DOI: 10.5220/0007359305760583

@conference{icaart19,
author={Momo Tosue. and Sosuke Moriguchi. and Kazuko Takahashi.},
title={Operations for Shape Transformations based on Angles},
booktitle={Proceedings of the 11th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART},
year={2019},
pages={576-583},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007359305760583},
isbn={978-989-758-350-6},
issn={2184-433X},
}

TY - CONF

JO - Proceedings of the 11th International Conference on Agents and Artificial Intelligence - Volume 2: ICAART
TI - Operations for Shape Transformations based on Angles
SN - 978-989-758-350-6
IS - 2184-433X
AU - Tosue, M.
AU - Moriguchi, S.
AU - Takahashi, K.
PY - 2019
SP - 576
EP - 583
DO - 10.5220/0007359305760583
PB - SciTePress