Hybrid cellular-functional modeling of heterogeneous objects

Valery Adzhiev, Elena Kartasheva, Tosiyasu Kunii, Alexander Pasko, Benjamin Schmitt

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)


An approach to modeling heterogeneous objects as multidimensional point sets with multiple attributes (hypervolumes) is presented. Attributes given at each point represent object properties of arbitrary nature (material, physical, etc.). A proposed theoretical framework is based on a hybrid model of geometry and attributes combining a cellular representation and a functionally based constructive representation of dimensionally nonhomogeneous entities. Hypervolume model components such as objects, operations and relations are introduced and outlined. We present examples of modeling a multi-layer geological structure with cavities and wells, time-dependent adaptive mesh generation, and conversion of a 3D implicit complex to the cellular representation.

Original languageEnglish
Pages (from-to)312-322
Number of pages11
JournalJournal of Computing and Information Science in Engineering
Issue number4
Publication statusPublished - 1 Dec 2002
Externally publishedYes


  • Attributes
  • Cellular representation
  • Function representation
  • Heterogeneous models
  • Multidimensional Point Sets
  • Volume modeling


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