Central and East European
Society for Phenomenology

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190223

The house is north of the river

relative localization of extended objects

Hedda R. Schmidtke

pp. 415-430

Abstract

This article presents a proposal to directional localization of extended objects based on an analysis of the underlying geometric structures. Many existing accounts on the directional localization of objects are based on representing the objects as points. These approaches provide good inferential properties, but are unsuitable to be combined with topological information about the regions occupied by objects. The approach presented here describes directional localization relations on the basis of representing objects as extended regions. Directional localization of an extended region based on a system of sectors and the establishment of a system of sectors based on an extended region are considered independently and the solutions are .nally combined. The investigations yield a geometric characterization of directional localization relations in two-dimensional space that can be applied to objects represented by regions or curves.

Publication details

Published in:

Montello Daniel D (2001) Spatial information theory: foundations of geographic information science international conference, cosit 2001 morro bay, ca, usa, september 19–23, 2001 proceedings. Dordrecht, Springer.

Pages: 415-430

DOI: 10.1007/3-540-45424-1_28

Full citation:

Schmidtke Hedda R. (2001) „The house is north of the river: relative localization of extended objects“, In: D.D. Montello (ed.), Spatial information theory, Dordrecht, Springer, 415–430.