NDLI: Interrogating witnesses for geometric constraint solving

Content Provider	ACM Digital Library
Author	Foufou, Sebti Michelucci, Dominique
Abstract	Classically, geometric constraint solvers use graph-based methods to analyze systems of geometric constraints. These methods have intrinsic limitations, which the witness method overcomes. This paper details the computation of a basis of the vector space of the free infinitesimal motions of a typical witness, and explains how to use this basis to interrogate the witness for detecting all dependencies between constraints: structural dependencies already detectable by graph-based methods, and also non-structural dependencies, due to known or unknown geometric theorems, which are undetectable with graph-based methods. The paper also discusses how to decide about the rigidity of a witness.
Starting Page	343
Ending Page	348
Page Count	6
File Format	PDF
ISBN	9781605587110
DOI	10.1145/1629255.1629301
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2009-10-05
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Geometric constraint solving Dependency detection
Content Type	Text
Resource Type	Article

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Interrogating witnesses for geometric constraint solving