The house is north of the river
relative localization of extended objects
pp. 415-430
in: Daniel D. Montello (ed), Spatial information theory, Berlin, Springer, 2001Abstract
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.