Discrete circular mapping for computation of Zernike moments

  • Authors:
  • Rajarshi Biswas;Sambhunath Biswas

  • Affiliations:
  • Machine Intelligence Unit, Indian Statistical Institute, Kolkata, India;Machine Intelligence Unit, Indian Statistical Institute, Kolkata, India

  • Venue:
  • PReMI'11 Proceedings of the 4th international conference on Pattern recognition and machine intelligence
  • Year:
  • 2011

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Abstract

Zernike moments are found to have potentials in pattern recognition, image analysis, image processing and in computer vision, apart from its traditional field of optics. Their invariance and orthogonality are attractive in many applications. However, the study of its computational structure can lead to some efficient and fast algorithms. In this paper, we have examined the use of a discrete circular map to compute Zernike moments in polar coordinates. It should be noted that such a discrete circular map, to represent a garylevel image in polar coordinates, does not require any special kind of sampling. Hence, zernike moments in polar coordinates can be computed easily. Comparison shows the proposed method is also efficient in computation.