Skip to main content


eCommons@Cornell

eCommons@Cornell >
College of Engineering >
Computer Science >
Computer Science Technical Reports >

Please use this identifier to cite or link to this item: http://hdl.handle.net/1813/6565
Title: Geometric Ambiguities in Boundary Representations
Authors: Hoffmann, Christoph M.
Hopcroft, John E.
Keywords: computer science
technical report
Issue Date: Jan-1986
Publisher: Cornell University
Citation: http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR86-725
Abstract: Boundary representations are usually separated into two components, a topological component and a geometric component. The conditions necessary to insure that the topological component is unambiguous are well understood. However, in algebriac modeling systems (as opposed to polyhedral modeling systems), an unambiguous topological structure can have noncongruent geometric interpretations with identical vertex coordinates, face equations and edge descriptions using the usual representation of edges as the intersection of faces along with tangent vectors at vertices. This means that the conversion of a CSG tree that unambiguously describes a solid can lead to an ambiguous boundary representations unless additional information is retained in the boundary representation. This paper examines the source of these ambiguities and presents one method for their elimination.
URI: http://hdl.handle.net/1813/6565
Appears in Collections:Computer Science Technical Reports

Files in This Item:

File Description SizeFormat
86-725.pdf691.57 kBAdobe PDFView/Open
86-725.ps258.1 kBPostscriptView/Open

Refworks Export

Items in eCommons are protected by copyright, with all rights reserved, unless otherwise indicated.

 

© 2014 Cornell University Library Contact Us