Construction of implicit complexes: A case study

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

Journal: 13th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision 2005, WSCG'2005 - In Co-operation with EUROGRAPHICS, Full Papers

Pages: 219-226

ISBN: 9788090310070

Abstract:

This paper presents a detailed description of a case-study demonstrating a novel method for modelling and rendering of heterogeneous objects containing entities of various dimensionalities 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 to implicit complexes and describe some implementation problems. Copyright UNION Agency - Science Press.

Source: Scopus