Skew symmetry detection via invariant signatures

摘要

We propose a new approach to skew-symmetry detection, based on the theory of invariant signatures for planar objects. Invariant signatures associated to object boundaries are generalizations of the curvature versus arclength description of curves, invariant under geometric transformations more complex than the Euclidean ones. We show that symmetries of objects, and hence of closed boundaries, translate into simple structures in the invariant signature functions and are therefore, in principle, readily detectable.