Qualitative Reasoning of Mixed Relations Between Topological and Directional Relations of Bodies in 3D Space

Spatial relationship reasoning is an importance topic in the spatial relation studies.The mixed spatial relation qualitative reasoning between topological relation and directional relation in three dimensional space is studies in the paper.The directional regions based on the projection system and the topological relation based on the nine intersection matrix model are described with Allen's interval relation pairs.The presented method is used to make the mixed spatial reasoning between topological relation and directional relation,and reasoning results were shown by the composition tables.