Hybrid modeling based on the implicit complexes

Elena Kartasheva, Valery Adzhiev, Peter Comninos, Oleg Fryazinov, Alexander Pasko

Research output: Contribution to conferencePaperpeer-review


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.

Original languageEnglish
Publication statusPublished - 2007
Externally publishedYes
Event17th International Conference on Computer Graphics and Vision, GraphiCon 2007 - Moscow, Russian Federation
Duration: 23 Jun 200727 Jun 2007


Conference17th International Conference on Computer Graphics and Vision, GraphiCon 2007
Country/TerritoryRussian Federation


  • Computational geometry
  • Hybrid modeling
  • Implicit complexes
  • Object modeling
  • Object representations


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