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 non-homogeneous 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.
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December 2002
Technical Papers
Hybrid Cellular-functional Modeling of Heterogeneous Objects
Valery Adzhiev,
Valery Adzhiev
The National Centre for Computer Animation, Bournemouth University, Poole, BH12 5BB UK
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Elena Kartasheva,
Elena Kartasheva
Institute for Mathematical Modeling, Russian Academy of Science, Moscow, Russia
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Tosiyasu Kunii,
Tosiyasu Kunii
IT Institute, Kanazawa Institute of Technology and Hosei University, Tokyo, Japan
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Alexander Pasko,
Alexander Pasko
Hosei University and IT Institute, Kanazawa Institute of Technology, Tokyo, Japan
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Benjamin Schmitt
Benjamin Schmitt
LaBRI, Bordeaux University I, Talence, France
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Valery Adzhiev
The National Centre for Computer Animation, Bournemouth University, Poole, BH12 5BB UK
Elena Kartasheva
Institute for Mathematical Modeling, Russian Academy of Science, Moscow, Russia
Tosiyasu Kunii
IT Institute, Kanazawa Institute of Technology and Hosei University, Tokyo, Japan
Alexander Pasko
Hosei University and IT Institute, Kanazawa Institute of Technology, Tokyo, Japan
Benjamin Schmitt
LaBRI, Bordeaux University I, Talence, France
Contributed by the Computer Aided Product Development (CAPD) Committee for publication in the JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING. Manuscript received Oct. 2002; revised Jan. 2003. Associate Editor: K. Lee and N. Patrikalakis.
J. Comput. Inf. Sci. Eng. Dec 2002, 2(4): 312-322 (11 pages)
Published Online: March 26, 2003
Article history
Received:
October 1, 2002
Revised:
January 1, 2003
Online:
March 26, 2003
Citation
Adzhiev, V., Kartasheva, E., Kunii, T., Pasko, A., and Schmitt, B. (March 26, 2003). "Hybrid Cellular-functional Modeling of Heterogeneous Objects ." ASME. J. Comput. Inf. Sci. Eng. December 2002; 2(4): 312–322. https://doi.org/10.1115/1.1559580
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