Non-Manifold Boundary Representation for Solid Modelling

The focus of current researches in geometric modelling is the extension of the representational power in order to encompass the non-manifold objects. In the present paper a non-manifold boundary representation is proposed. New types of topological elements are introduced to extend the dimension of the non-manifold condition at a face. This structure is based on the theory of simplicial complexes. The technique used for construction and manipulation of objects ensures the model validity at each intermediate stage of the design. An undergrounding set of basic operators is developed that according to empirical results is a complete and suucient set for manipulation of objects described in terms of the elaborated structure.