Discrete orthogonal moments in image analysis

  • Authors:

  • Leonidas Kotoulas;Ioannis Andreadis

  • Affiliations:

  • Laboratory of Electronics, Department of Electrical and Computer Engineering, Democritus University of Thrace, Xanthi, Greece;Laboratory of Electronics, Department of Electrical and Computer Engineering, Democritus University of Thrace, Xanthi, Greece

  • Venue:
  • SPPR'07 Proceedings of the Fourth conference on IASTED International Conference: Signal Processing, Pattern Recognition, and Applications
  • Year:
  • 2007

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Abstract

Image moments are extensively used in various image analysis tasks. Moments of a discrete orthogonal basis were recently proposed as image descriptors, presenting some advantages over moments of a continuous basis. In this paper, we derive some of their properties regarding geometrical transformations, as well as some computational characteristics. Most of these properties hold for all orthogonal polynomial moments, but when applied to discrete ones, no approximation errors appear. By using these properties, we propose a novel method for the efficient computation of the moments of a 2D object through its projections.