Abstract

We present a novel approach for modeling heterogeneous objects containing entities of various dimensions and representations within a cellular-functional framework based on the implicit complex notion. We provide a brief formal description for implicit complexes and describe their structure; in particular we describe both the geometry and topology of cells of different types. Then we consider the necessary basic operations over IC’s components and the set-theoretic operations over objects represented by ICs. Finally, we present a case-study showing how to construct a hybrid model integrating both boundary and function representations.