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Fast computation of Legendre and Zernike moments

Mukundan, R and Ramakrishnan, KR (1995) Fast computation of Legendre and Zernike moments. In: Pattern Recognition, 28 (9). pp. 1433-1442.

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Official URL: http://dx.doi.org/10.1016/0031-3203(95)00011-N


This paper presents recursive algorithms for fast computation of Legendre and Zernike moments of a grey-level image intensity distribution. For a binary image, a contour integration method is developed for the evaluation of Legendre moments using only the boundary information. A method for recursive calculation of Zernike polynomial coefficients is also given. A square-to-circular image transformation scheme is introduced to minimize the computation involved in Zernike moment functions. The recursive formulae can also be used in inverse moment transforms to reconstruct the original image from moments. The mathematical framework of the algorithms is given in detail, and illustrated with binary and grey-level images.

Item Type: Journal Article
Publication: Pattern Recognition
Publisher: Elsevier Science
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Moment functions;Legendre moments;Zernike moments;Contour integration;Image reconstruction
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Date Deposited: 15 Jun 2011 09:14
Last Modified: 15 Jun 2011 09:14
URI: http://eprints.iisc.ac.in/id/eprint/37427

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