We present a concept for representing uncertain topological relations and their derivation from uncertain sets, useful for spatial and temporal reasoning in GIS. The concept is based on the notion of a stochastic boundary of a geometric set and on tests performed to decide the validity of relations between the sets. It uses the power-function to derive the probabilities of the found relations. The concept is applicable to all questions where uncertain geometric queries or analysis have to be performed.

Date Published: 17 August 1994
PDF: 7 pages
Proc. SPIE 2357, ISPRS Commission III Symposium: Spatial Information from Digital Photogrammetry and Computer Vision, (17 August 1994); doi: 10.1117/12.182796

Published in SPIE Proceedings Vol. 2357:
ISPRS Commission III Symposium: Spatial Information from Digital Photogrammetry and Computer Vision
Heinrich Ebner; Christian Heipke; Konrad Eder, Editor(s)