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Journal of Electronic Imaging

Image classification using a new set of separable two-dimensional discrete orthogonal invariant moments
Author(s): Abdeslam Hmimid; Mhamed Sayyouri; Hassan Qjidaa
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Paper Abstract

We propose a new set of bivariate discrete orthogonal polynomials, which are the product of Charlier’s discrete orthogonal polynomials with one variable by Tchebichef, Krawtchouk, and Hahn discrete orthogonal polynomials with one variable. This set of bivariate discrete orthogonal polynomials is used to define several new types of discrete orthogonal moments such as Charlier-Tchebichef moments (CTM), Charlier-Krawtchouk moments (CKM), and Charlier-Hahn moments (CHM). We also present an approach for fast computation of CTM, CKM, and CHM discrete orthogonal moments using the image block representation for binary images and image slice representation for grayscale images. A set of Charlier-Tchebichef invariant moments, Charlier-Krawtchouk invariant moments, and Charlier-Hahn invariant moments is also presented. These invariant moments are derived algebraically from the geometric invariant moments, and their computation is accelerated using an image representation scheme. The presented algorithms are tested in several well-known computer vision datasets including image reconstruction, computational time, moment’s invariability, and classification of objects. The performance of these invariant moments used as pattern features for a pattern classification is compared with Hu, Legendre, Tchebichef-Krawtchouk, Tchebichef-Hahn, and Krawtchouk-Hahn invariant moments.

Paper Details

Date Published: 18 February 2014
PDF: 16 pages
J. Electron. Imag. 23(1) 013026 doi: 10.1117/1.JEI.23.1.013026
Published in: Journal of Electronic Imaging Volume 23, Issue 1
Show Author Affiliations
Abdeslam Hmimid, Univ. Sidi Mohamed Ben Abdellah (Morocco)
Mhamed Sayyouri, Univ. Sidi Mohamed Ben Abdellah (Morocco)
Hassan Qjidaa, Univ. Sidi Mohamed Ben Abdellah (Morocco)

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