PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Allen's Hourglass: probabilistic treatment of interval relations
Sergios Petridis, Georgios Paliouras and Stavros J. Perantonis
In: TIME 2010, Sep 2010, Paris, France.


The paper is motivated by the need to handle robustly the uncertainty of temporal intervals, e.g. as it occurs in automated event detection in video streams. The paper introduces a two-dimensional mapping of Allen's relations, based on orthogonal characteristics of interval relations, namely relative position and relative size. The hourglass-shaped mapping also represents limit cases that correspond to durationless intervals. Based on this mapping, we define two sets of primitive interval relations in terms of the relative positioning and relative size of intervals. These primitives are then used to derive a probabilistic set of Allen's relations. A number of example cases are presented to illustrate how the proposed approach can improve the robustness of interval relations.

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EPrint Type:Conference or Workshop Item (Paper)
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Theory & Algorithms
ID Code:7586
Deposited By:Sergios Petridis
Deposited On:17 March 2011