Recognizing Objects Using Scale Space Local Invariants
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Recognizing Objects Using Scale Space Local Invariants.
In ICPR96, A9M.6, 1996
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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”.}
}