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Using invariance under the similarity group to solve geometric constraint systems

✍ Scribed by Pascal Schreck; Étienne Schramm

Book ID: 104006378
Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 259 KB
Volume: 38
Category: Article
ISSN: 0010-4485
DOI: 10.1016/j.cad.2006.01.002

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✦ Synopsis

In the area of Computer Aided Design (CAD), the main feature of geometric constraint systems lies in their invariance under the direct isometry group. Several researchers have developed methods, which take advantage of this fact to decompose such systems into smaller sub-systems. In this paper, we show that considering the invariance under the direct similarity group leads to a new constructive method to solve geometric constraint systems encountered in CAD.

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