Construction of Implicit Complexes: the Case Study

Kartasheva,E., Adzhiev,V., Comninos,P., Pasko,A., Schmitt,B.

This paper describes a detailed description of a case-study demonstrating a novel method for modelling and rendering of heterogeneous objects containing entities of various dimensionality within a cellular-functional framework based on the implicit complex notion. Implicit complexes make it possible to combine a cellular representation and a constructive function representation. We briefly describe a formal framework for such a hybrid representation as well as a general structure for implicit complexes. Then, using a representative example, we show how an implicit complex can be constructed geometrically and topologically. We also consider the main rendering issues specific for implicit complexes and describe some implementation problems.