Construction of Implicit Complexes: A Case Study

Date issued

2005

Journal Title

Journal ISSN

Volume Title

Publisher

UNION Agency

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.

Description

Subject(s)

reprezentace funkcí, buněčná reprezentace, implicitní komplex, polygonizace, sledování paprsku

Citation

WWSCG '2005: Full Papers: The 13-th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision 2005 in co-operation with EUROGRAPHICS: University of West Bohemia, Plzen, Czech Republic, p. 219-226.
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