Social and Behavioral Sciences Commons^™

Spatial Reasoning With Augmented Points: Extending Cardinal Directions With Local Distances, Reinhard Moratz, Jan Oliver Wallgrün

Journal of Spatial Information Science

We present an approach for supplying existing qualitative direction calculi with a distance component to support fully fledged positional reasoning. The general underlying idea of augmenting points with local reference properties has already been applied in the OPRAm calculus. In this existing calculus point objects are attached with a local reference direction to obtain oriented points and able to express relative direction using binary relations. We show how this approach can be extended to attach a granular distance concept to direction calculi such as the cardinal direction calculus or adjustable granularity calculi such as OPRAm or the Star calculus. We …