JSM 2004 - Toronto

Abstract #300940

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Activity Number: 379
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract - #300940
Title: Bilateral Symmetry in Landmark-based Shape Analysis
Author(s): John T. Kent*+
Companies: University of Leeds
Address: Woodhouse Lane, Leeds, LS2 9JT, United Kingdom
Keywords: shape ; landmark ; symmetry ; bilateral
Abstract:

Geometric objects possessing bilateral symmetry have the property that their shape is unchanged after a reflection about a line (in two dimensions) or a plane (in three dimensions). Biology provides many examples; indeed most animals possess approximate bilateral symmetry for many of their features. In order to study bilateral symmetry for landmark data, the first task is to construct a suitable coordinate system, a nontrivial exercise due to the lack of a fixed registration system. With this coordinate system, it is possible to quantify any asymmetry and to construct statistical tests for symmetry. The human face provides a nice setting in which to illustrate these ideas.


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Revised March 2004