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The revised Fundamental Theorem of Moment Invariants
August 1991 (vol. 13 no. 8)
pp. 830-834

A revised fundamental theorem of moment invariants for pattern recognition which corrects the fundamental theorem proposed by M.K. Hu (1962), is presented. The correction affects neither similitude (scale) nor rotation invariants derived using the original theorem, but it does affect features invariant to general linear transformations. Four of the latter invariants were presented originally by Hu. These are revised to take the correction to the fundamental theorem into account. Furthermore, these four invariants are combined to yield three new invariants, which are additionally invariant to changes in the illumination of an image.

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Index Terms:
invariance, algebra; fundamental theorem; moment invariants; pattern recognition; similitude; rotation invariants; general linear transformations; algebra; invariance; pattern recognition
Citation:
T.H. Reiss, "The revised Fundamental Theorem of Moment Invariants," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 13, no. 8, pp. 830-834, Aug. 1991, doi:10.1109/34.85675
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