# Recognizing Objects Using Scale Space Local Invariants

Recognizing Objects Using Scale Space Local Invariants.

In ICPR96, A9M.6, 1996

## Online Version

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## Abstract

In this paper we discuss a new approach to invariant signatures for recognizing curves under viewing distortions arid 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 larger, coarser scales. In this new representation, each traditional local invariant is replaced by n scale-dependent range of invariants. Thus, instead of invariant signature curves we obtain invariant signature surfaces in a 3-0 invariant “scale space”.

## Co-authors

## Bibtex Entry

@inproceedings{BrucksteinRW96i,

title = {Recognizing Objects Using Scale Space Local Invariants},

author = {Alfred M. Bruckstein and Ehud Rivlin and Isaac Weiss},

year = {1996},

booktitle = {ICPR96},

pages = {A9M.6},

abstract = {In this paper we discuss a new approach to invariant signatures for recognizing curves under viewing distortions arid 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 larger, coarser scales. In this new representation, each traditional local invariant is replaced by n scale-dependent range of invariants. Thus, instead of invariant signature curves we obtain invariant signature surfaces in a 3-0 invariant “scale space”.}

}