On shape orientation when the standard method does not work

Authors:
Joviša Žunić;Lazar Kopanja
Affiliations:
Computer Science, Exeter University, Exeter, U.K.;Department of Mathematics and Informatics, Novi Sad University, Novi Sad, Serbia and Montenegro
Venue:
CIARP'05 Proceedings of the 10th Iberoamerican Congress conference on Progress in Pattern Recognition, Image Analysis and Applications
Year:
2005

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Abstract

In this paper we consider some questions related to the orientation of shapes when the standard method does not work. A typical situation is when a shapes under consideration has more than two axes of symmetry or if the shape is n-fold rotationally symmetric, when n 2. Those situations are well studied in literature. Here, we give a very simple proof of the main result from [11] and slightly adapt their definition of principal axes for rotationally symmetric shapes. We show some desirable properties that hold if the orientation of such shapes is computed in such a modified way.