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Ramanujan Sums for Image Pattern Analysis

Title:

Ramanujan Sums for Image Pattern Analysis

Chen, Guangyi, Krishnan, Sridhar and Bui, Tien D. (2014) Ramanujan Sums for Image Pattern Analysis. International Journal of Wavelets, Multiresolution and Information Processing, 12 (01). p. 1450003. ISSN 0219-6913

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Official URL: http://dx.doi.org/10.1142/S0219691314500039

Abstract

Ramanujan Sums (RS) have been found to be very successful in signal processing recently. However, as far as we know, the RS have not been applied to image analysis. In this paper, we propose two novel algorithms for image analysis, including moment invariants and pattern recognition. Our algorithms are invariant to the translation, rotation and scaling of the 2D shapes. The RS are robust to Gaussian white noise and occlusion as well. Our algorithms compare favourably to the dual-tree complex wavelet (DTCWT) moments and the Zernike's moments in terms of correct classification rates for three well-known shape datasets.

Divisions:Concordia University > Gina Cody School of Engineering and Computer Science > Computer Science and Software Engineering
Item Type:Article
Refereed:Yes
Authors:Chen, Guangyi and Krishnan, Sridhar and Bui, Tien D.
Journal or Publication:International Journal of Wavelets, Multiresolution and Information Processing
Date:January 2014
Digital Object Identifier (DOI):10.1142/S0219691314500039
Keywords:Ramanujan Sums (RS); invariant features; moment invariants; pattern recognition; Fourier transform (FT); Gaussian white noise; occlusion
ID Code:978239
Deposited By: Danielle Dennie
Deposited On:23 Jan 2014 18:03
Last Modified:18 Jan 2018 17:46
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