My research is about the analysis of spatial patterns. Among others, this is of interest in vision and in spatiotemporal reasoning. Concerning the former my focus lies on shape analysis methods, concerning the latter I am investigating motion patterns. |
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The diagram on the left hand side shows all possible 23 Bipartite Arrangement relations, arranged in their neighbourhood graph. These relations have been introduced in (Gottfried 2004) and are the generalisation of their one-dimensional analogon introduced by J. F. Allen, “Maintaining knowledge about temporal intervals”, CACM 26 (11), 832-843, 1983. Each relation describes how a line segment relates w.r.t. its position to another line segment. Provided that line segments are arranged intersection-free in the Euclidean plane those relations show all possibilities of pairwise qualitative arrangements. |
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