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Image Normalization by Complex Moments
January 1985 (vol. 7 no. 1)
pp. 46-55
Yaser S. Abu-Mostafa, Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125.
Demetri Psaltis, Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125.
The role of moments in image normalization and invariant pattern recognition is addressed. The classical idea of the principal axes is analyzed and extended to a more general definition. The relationship between moment-based normalization, moment invariants, and circular harmonics is established. Invariance properties of moments, as opposed to their recognition properties, are identified using a new class of normalization procedures. The application of moment-based normalization in pattern recognition is demonstrated by experiment.
Citation:
Yaser S. Abu-Mostafa, Demetri Psaltis, "Image Normalization by Complex Moments," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 7, no. 1, pp. 46-55, Jan. 1985, doi:10.1109/TPAMI.1985.4767617
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