DMCA
Dimension-Independent Convex-Cell Based HPC: Representation Scheme and Implementation Issues (1995)
| Citations: | 9 - 7 self |
BibTeX
@MISC{Pascucci95dimension-independentconvex-cell,
author = {Valerio Pascucci and Vincenzo Ferrucci and Alberto Paoluzzi},
title = {Dimension-Independent Convex-Cell Based HPC: Representation Scheme and Implementation Issues},
year = {1995}
}
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Abstract
This paper is devoted to the discussion of some of the design issues which concern the representation scheme underlying the geometrical nucleus of the PLASM design language. A central choice in the representation of geometry within the language was to store the minimum possible amount of topology. E.g., the boundary of a polyhedron in ! 3 , which is a set of 3D polygons, is stored without adjacencies. Thus, each such boundary polygon is considered as an elementary polyhedron within its affine hull, and represented as a solid 2D decomposition in convex cells. This representation allows to easily perform some operations that are not usually available in a geometric modeler, as well as to represent both manifolds and non-manifolds in a uniform manner. In particular, each geometrical object is represented as a multilevel hierarchical structure (Hierarchical Polyhedral Complex, HPC) that collects a set of elementary polyhedra, affinely mapped from their local coordinate systems and groupe...
Keyphrases
representation scheme dimension-independent convex-cell implementation issue elementary polyhedron convex cell uniform manner local coordinate system geometric modeler central choice design issue minimum possible amount geometrical nucleus boundary polygon geometrical object multilevel hierarchical structure affine hull hierarchical polyhedral complex plasm design language
