Hybrid Cellular-functional Modeling of Heterogeneous Objects

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. Keywords Multidimensional point sets, attributes, heterogeneous models, function representation, cellular representation, volume modeling

• Type: Journal
• Year: 2002
• Where: JCISE
• Authors: Valery Adzhiev, Elena Kartasheva, Tosiyasu L. Kunii, Alexander A. Pasko, Benjamin Schmitt
• Keywords: Cellular Representation, JCISE 2002, Multidimensional Point Sets, Multiple Attributes