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.
Hybrid Cellular-functional Modeling of Heterogeneous Objects
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.
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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. doi: https://doi.org/10.1115/1.1559580
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