Hybrid modeling based on the implicit complexes

Authors: Kartasheva, E., Adzhiev, V., Comninos, P., Fryazinov, O. and Pasko, A.

Journal: GraphiCon 2007 - International Conference on Computer Graphics and Vision, Proceedings

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.

Source: Scopus

Hybrid Modeling Based on the Implicit Complexes

Authors: Kartasheva, E., Adzhiev, V., Comninos, P., Fryazinov, O. and Pasko, A.

Conference: GraphiCon'2007. International Conference on Computer Graphics and Vision

Dates: 23-27 June 2007

Pages: 25-32

Publisher: Moscow State University

Place of Publication: Moscow

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.

http://www.graphicon.ru/2007/proceedings/

Source: Manual

Preferred by: Valery Adzhiev and Oleg Fryazinov