License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.COSIT.2019.7
URN: urn:nbn:de:0030-drops-110998
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/11099/
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Tosue, Momo ; Takahashi, Kazuko

Towards a Qualitative Reasoning on Shape Change and Object Division

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LIPIcs-COSIT-2019-7.pdf (2 MB)

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.

BibTeX - Entry

@InProceedings{tosue_et_al:LIPIcs:2019:11099,
  author =	{Momo Tosue and Kazuko Takahashi},
  title =	{{Towards a Qualitative Reasoning on Shape Change and Object Division}},
  booktitle =	{14th International Conference on Spatial Information Theory (COSIT 2019)},
  pages =	{7:1--7:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-115-3},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{142},
  editor =	{Sabine Timpf and Christoph Schlieder and Markus Kattenbeck and Bernd Ludwig and Kathleen Stewart},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/11099},
  URN =		{urn:nbn:de:0030-drops-110998},
  doi =		{10.4230/LIPIcs.COSIT.2019.7},
  annote =	{Keywords: qualitative spatial representation, symbolic shape representation, Process-Grammar}
}

Keywords: qualitative spatial representation, symbolic shape representation, Process-Grammar
Collection: 14th International Conference on Spatial Information Theory (COSIT 2019)
Issue Date: 2019
Date of publication: 03.09.2019

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