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Proceedings Paper

Image characterization by fast calculation of Legendre moments
Author(s): Jun Shen; Dan-Fei Shen
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Paper Abstract

How to calculate Legendre moments of images by less computation is a very important problem for the application of orthogonal moments in pattern recognition and image processing. in the present paper we propose the fast calculation to characterise 1-D signals and 2-D images by Legendre moments. We present at first the projections of 1-D signals onto Legendre polynomials and deduce their recursive calculation. We then introduce the scaled Legendre polynomials, the Legendre moments of 1-D signals with arbitrary window size and theirfast calulation. The implementation in discrete cases is presented and its computational complexity is analysed as well. To apply our method to 2-D image processing and recognition, the recursive algorithm is generalized to 2-D cases. With the approach presented, the computational complexity to characterise images by Legendre moments is greatly reduced and the implementation is simple. As the moments are widely used in image filtering, image segmentation, texture analysis and pattern recognition, the use of the algorithm proposed could greatly reduce the computational complexity of such tasks.

Paper Details

Date Published: 17 December 1996
PDF: 12 pages
Proc. SPIE 2955, Image and Signal Processing for Remote Sensing III, (17 December 1996); doi: 10.1117/12.262898
Show Author Affiliations
Jun Shen, Univ. de Bordeaux III (France)
Dan-Fei Shen, Univ. de Bordeaux I (France)

Published in SPIE Proceedings Vol. 2955:
Image and Signal Processing for Remote Sensing III
Jacky Desachy, Editor(s)

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