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A geometric modeler based on a dual-geometry representation polyhedra and rational b-splinesFor speed and data base reasons, solid geometric modeling of large complex practical systems is usually approximated by a polyhedra representation. Precise parametric surface and implicit algebraic modelers are available but it is not yet practical to model the same level of system complexity with these precise modelers. In response to this contrast the GEOMOD geometric modeling system was built so that a polyhedra abstraction of the geometry would be available for interactive modeling without losing the precise definition of the geometry. Part of the reason that polyhedra modelers are effective is that all bounded surfaces can be represented in a single canonical format (i.e., sets of planar polygons). This permits a very simple and compact data structure. Nonuniform rational B-splines are currently the best representation to describe a very large class of geometry precisely with one canonical format. The specific capabilities of the modeler are described.
Document ID
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Klosterman, A. L.
(Structural Dynamics Research Corp. Milford, OH, United States)
Date Acquired
August 12, 2013
Publication Date
March 1, 1984
Publication Information
Publication: NASA. Langley Research Center Computer-Aided Geometry Modeling
Subject Category
Computer Programming And Software
Accession Number
Distribution Limits
Work of the US Gov. Public Use Permitted.
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