Then based on the point-set theory,a qualitative model about spatio-temporal topological relations between moving objects i.

Description of spatio-temporal topological relationship about land utilization with GIS;

According to the spatio-temporal topological relationship of entities, this paper sets forth the recent popularly spatial and temporal topology module, point-set and predicate-set description methods.

The contents include ⑴ According to the description of spatial and temporal topological relationships, the thesis sets forth the integrating expression of spatio-temporal topological relationships.

A method of setting up topological relations for objects with broad boundary;

The study of topological relation between linear-area object and geometric metrics;

The automatic topological relation generating algorithm based on examination;

Study on Topological Relationship and Spatial Reasoning in GIS;

A method for creating topological relationship among the constituent patches of compound surface is addressed.

In order to implement Boolean operations on open or closed mesh models with different complexities correctly,a new algorithm for 3D mesh model by using Boolean operations is presented,which is based on the orientability of manifold meshes and the topological relationship of the meshes.