Operations for Shape Transformations based on Angles

Momo Tosue, Sosuke Moriguchi, Kazuko Takahashi

2019

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.

Paper Citation

in Harvard Style

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, pages 576-583. DOI: 10.5220/0007359305760583

in Bibtex Style

@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},
}

in EndNote Style

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
AU - Tosue M.
AU - Moriguchi S.
AU - Takahashi K.
PY - 2019
SP - 576
EP - 583
DO - 10.5220/0007359305760583