POLYTOPE AND CONVEX BODY DATABASE

摘要

Extending the work in 2D/3D graphical databases, the present invention discuss constraints in high dimensional spaces, its efficient storage; relational algebra. The relational algebra includes queries like finding polytopes disjoint or intersecting with the given polytope; or finding a subset or superset of the polytope. This invention also presents methods to generate new information equivalent constraints set from existing constraints sets, presents new kinds of joins and a rich relational algebra of the constraints. Different methods such as distortion, rotation and shape scaling transformations are employed to obtain the information equivalent different sets of constraints. Also, this invention discusses queries to obtain the information equivalent constraints set of the given constraints set along with a new query language, when the data is in memory.