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  A Complete and Irreducible Set of Local Orthogonally Invariant Features of 2-Dimensional Images

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by Max A. Viergever
ftp://ftp-robotvis.inria.fr/pub/html/Papers/salden-etal:92c.ps.gz
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Abstract:

We present a new method of multi-resolution image analysis that gives us the most concise set of local orthogonally invariant features of 2dimensional input images. Solving the equivalence problem corresponding to a local jet and the group of orthogonal transformations of the cartesian coordinate frame we nd a complete and irreducible set of local algebraic invariants that may describe any local orthogonally invariant feature of the jet. 1

Citations

20 Discrete Scale-Space Theory and the Scale-Space Primal Sketch – Lindeberg - 1991
11 ter Haar Romeny – Florack, M - 1994
10 Ueber die vollen Invariantensystemen – Hilbert
8 Receptive eld families – Koenderink, Doorn - 1990
7 Local and multilocal scale-space description – Salden, Romeny, et al. - 1994
5 Les probl#mes d'#quivalence – Cartan - 1952
4 Ueber die Bildung der Resultante zweier Gleichungen – Gordan
1 AOEne invariant corner detection – Blom, Romeny, et al. - 1992