Hybrid Cellular-functional Modeling of Heterogeneous Objects
Author:
Adzhiev Valery1, Kartasheva Elena2, Kunii Tosiyasu3, Pasko Alexander4, Schmitt Benjamin5
Affiliation:
1. The National Centre for Computer Animation, Bournemouth University, Poole, BH12 5BB UK 2. Institute for Mathematical Modeling, Russian Academy of Science, Moscow, Russia 3. IT Institute, Kanazawa Institute of Technology and Hosei University, Tokyo, Japan 4. Hosei University and IT Institute, Kanazawa Institute of Technology, Tokyo, Japan 5. LaBRI, Bordeaux University I, Talence, France
Abstract
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.
Publisher
ASME International
Subject
Industrial and Manufacturing Engineering,Computer Graphics and Computer-Aided Design,Computer Science Applications,Software
Reference37 articles.
1. Pasko, A., Adzhiev, V., Schmitt, B., and Schlick, C., 2001, “Constructive Hypervolume Modelling,” Graphical Models, special issue on Volume Modeling, 63(6), pp. 413–442. 2. Pasko, A., Adzhiev, V., and Schmitt, B., 2001, “Constructive Hypervolume Modelling,” Technical Report TR-NCCA-2001-01, National Centre for Computer Animation, Bournemouth University, UK, ISBN 1-85899-123-4, p. 34 URL:http://www.cis.k.hosei.ac.jp/∼F-rep/BTR001.pdf 3. Kumar, V., and Dutta, D., 1997, “An Approach to Modeling Multi-material Objects,” Fourth Symposium on Solid Modeling and Applications, ACM SIGGRAPH, pp. 336–345. 4. Kumar, V., Burns, D., Dutta, D., and Hoffmann, C., 1999, “A Framework for Object Modeling,” Comput.-Aided Des., 31(9), pp. 541–556. 5. Shin, K., and Dutta, D., 2001, “Constructive Representation of Heterogeneous Objects,” J. Comput. Inf. Sci. Eng. 1(3), pp. 205–217.
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