Paper Info
Title
Non-Cartesian Modelling For Analysis Of The Consistency Of A Geometric Specification For Conceptual Design
Abstract
In preliminary project phases, designers generally prefer to express their ideas via 2D or 3D sketches. The scientific problem covered in this paper is that of the analysis of the consistency of a 3D geometric specification. Since traditional geometric Cartesian modelling does not permit easy analysis of consistency, we will present two non-Cartesian modellings: either by exclusively using points, and Cayley-Menger determinants will enable the relations between mutual distances to be written, or by using points and vectors, and Gram determinants will enable the relations between scalar products to be written. Finally, we will present the advantages of these two modellings in order to analyse the overall consistency of a specification.
Year
DOI
Venue
2006
10.1142/S021819590600218X
INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS
Keywords
DocType
Volume
geometric specification, analysis of consistency, Cayley-Menger determinants, Gram matrices and determinants, non-Cartesian geometry
Journal
16
Issue
ISSN
Citations 
5-6
0218-1959
3
PageRank 
References 
Authors
0.50
2
3
Name
Order
Citations
PageRank
Philippe Serré181.69
Auxkin Ortuzar230.50
Alain Rivière391.90