Image Normalization by Complex Moments

Authors:
Yaser S. Abu-Mostafa;Demetri Psaltis
Affiliations:
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125.;Division of Engineering and Applied Science, California Institute of Technology, Pasadena, CA 91125.
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
1985

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Abstract

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.