BOUNDARY REPRESENTATION OF POLYHEDRAL HETEROGENEOUS SOLIDS IN THE CONTEXT OF A GRAPHIC OBJECT ALGEBRA

We present a formal model for the boundary representation (B-rep) of p olyhedral heterogeneous solids based on a theoretical model of graphic objects, The theoretical model is the graphic objects algebra, with w hich we manage solid modelling by enumeration, sweeping and CSG. We es tablish a formal mapping between graphic objects and solid models for heterogeneous objects, represented by CSG and B-rep, Using the algebra , we describe heterogeneous general polyhedra, manifold and nonmanifol d, with and without holes. After a formal study of regularized operati ons in the algebra, which are a generalization of boolean regularized operations in solid modelling, we propose a B-rep method for managing graphic objects described by their boundaries. This facilitates an abs tract uniform treatment of the most important solid modelling methods.