Uniform Representation Scheme for Freeform Geometric Modelling

摘要

The mesh-subdivision scheme, a uniform scheme for the representation of objects used in freeform geometric modelling, is discussed. The scheme has two parts: a mesh representing the topological structure and approximating the geometric structure, and a recursive subdivision method, using parameters to control the shape of the object. It is shown that the problem of self-intersection in known recursive subdivision methods can be solved, and it is indicated how freeform solid modelling methods can be integrated in the scheme. (Copyright (c) 1989 by Faculty of Technical Mathematics and Informatics, Delft, The Netherlands.)