Computation of symmetry measures for polygonal shapes

Abstract

In this paper we propose efficient algorithms for computation of symmetry degree (measure of symmetry) for polygonal shapes. The algorithms are based on turning function representation and the approach developed in [1] for comparing polygonal shapes. These algorithms allow computation of reflection and rotation symmetry measures which are invariant to translations, rotations and scaling of shapes. Using normalization technique we show how it is possible to apply them for computation of skew symmetry measures as well.