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Towards a Qualitative Reasoning on Shape Change and Object Division

Authors Momo Tosue, Kazuko Takahashi

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Author Details

Momo Tosue
  • School of Science and Technology, Kwansei Gakuin University, 2-1, Gakuen, Sanda, 669-1337, Japan
Kazuko Takahashi
  • School of Science and Technology, Kwansei Gakuin University, 2-1, Gakuen, Sanda, 669-1337, Japan

Funding

This work was supported by JSPS KAKENHI Grant Number JP18K11453.

Acknowledgements

The authors would like to thank Professor Christian Freksa for his comments on shape transformation, and anonymous reviewers for valuable comments.

Cite AsGet BibTex

Momo Tosue and Kazuko Takahashi. Towards a Qualitative Reasoning on Shape Change and Object Division. In 14th International Conference on Spatial Information Theory (COSIT 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 142, pp. 7:1-7:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)
https://doi.org/10.4230/LIPIcs.COSIT.2019.7

Abstract

We propose a qualitative representation for handling shape change and object division. We model the shape of a smooth curve in a two-dimensional plane together with its temporal change, using curvature extrema. The representation is based on Process-Grammar, which gives a causal account for each shape change. We introduce several rewriting rules to handle object division, that consist of making a tangent point, reconstruction, and separation. On the treatment of the division process, the expression can clarify the relative locations of multiple objects. We show formalization and application to represent a sequence of shape changes frequently observed in an organogenesis process.

Subject Classification

ACM Subject Classification
  • Computing methodologies → Knowledge representation and reasoning
Keywords
  • qualitative spatial representation
  • symbolic shape representation
  • Process-Grammar

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References

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