The s-kernel and a symmetry measure based on correlation

Authors:
Bertrand Zavidovique;Vito Di Gesù
Affiliations:
IEF, University of Paris XI, ORSAY, France;IEF, University of Paris XI, ORSAY, France
Venue:
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
Year:
2005

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Abstract

Symmetry is an important feature in vision. Several detectors or transforms have been proposed. In this paper we concentrate on a measure of symmetry. Given a transform S, the kernel SK of a pattern is defined as the maximal included symmetric sub-set of this pattern. The maximum being taken over all directions, the problem arises to know which center to use. Then the optimal direction triggers the shift problem too. We prove that, in any direction, the optimal axis corresponds to the maximal correlation of a pattern with its flipped version. That leads to an efficient algorithm. As for the measure we compute a modified difference between respective surfaces of a pattern and its kernel. A series of experiments supports actual algorithm validation.