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Maximum norm optimization of quasi-isometric mappings

✍ Scribed by V. A. Garanzha

Publisher: John Wiley and Sons
Year: 2002
Tongue: English
Weight: 312 KB
Volume: 9
Category: Article
ISSN: 1070-5325
DOI: 10.1002/nla.301

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✦ Synopsis

Abstract

A reliable method for maximum norm optimization of spatial mappings is suggested. It is applied to the problem of optimal flattening of surfaces and to precisely controlled surface morphing. Robustness and grid independence of the method are demonstrated on real‐life tests. Copyright © 2002 John Wiley & Sons, Ltd.

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## Abstract We introduce __property__ (__quasi__ ‐__α__), which implies property (__A__) defined by Lindenstrauss [10] and whose dual property is property (quasi‐__β__) [2]. We consider relations between this property and other sufficient conditions for property (__A__), and study the denseness of