Hierarchical octree approximations for boundary representation-based geometric models

Abstract The advent of solid modelling systems, in principle, permits the automation of any kind of geometric application. An octree representation, which approximates geometric models by variably sized solid cubes, is a popular representation structure that is used in a variety of applications such as finite element mesh generation, motion planning, interference detection, etc. In theory, octree approximation of objects can be derived from any solid modelling systems, but the efficiency of the process is closely related to the representation of the original solid model. Efficient algorithms for deriving an octree representation of CSG-based modelling systems are known; this paper describes a new algorithm to efficiently compute octree approximations from B-rep solids.

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