Technical Report CIS9503

Authors: A.M. Bruckstein, E. Rivlin and I. Weiss
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Abstract: In this paper we discuss a new approach to invariant signatures for recognizing curves under viewing distortions and partial occlusion. The approach is intended to overcome the ill-posed problem of finding derivatives, on which local invariants usually depend. The basic idea is to use invariant finite differences, with a scale parameter that determines the size of the differencing interval. The scale parameter is allowed to vary so that we obtain a ``scale space'' -like invariant representation of the curve, with larger difference intervals corresponding to a larger, coarser scale. In this new representation, each traditional local invariant is replaced by a scale dependent range of invariants. Thus, instead of invariant signature curves we obtain invariant signature surfaces in a 3-D invariant ``scale space''.
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