Rotation-invariant color pattern recognition based on the joint fractional Fourier transform correlator

Yupei Zhang; Weimin Jin

doi:10.1117/12.755418

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4 January 2008 Rotation-invariant color pattern recognition based on the joint fractional Fourier transform correlator

Yupei Zhang, Weimin Jin

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Proceedings Volume 6837, Information Optics and Photonics Technologies II; 683707 (2008) https://doi.org/10.1117/12.755418
Event: Photonics Asia 2007, 2007, Beijing, China

Abstract

In this paper, a new system of multi-channel single-output rotation-invariant joint fractional Fourier transform correlator (JFRTC) for color pattern recognition is proposed. Due to the shift-variant property of fractional Fourier transform (FRT), we can obtain three correlation peaks at the output plane which show a pair of cross-correlation peaks that is desired and one autocorrelation peak, so the noise is greatly reduced. The Synthetic discriminate function (SDF) is quoted at the input plane to store the reference images to realize rotation-invariant recognition. To optimize the correlation peaks, the joint power spectrum is binarized to perform Fourier transform. The theoretical analysis and optical experiments are discussed in detail. Experimental results are presented to demonstrate the ability of this system.

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Yupei Zhang and Weimin Jin "Rotation-invariant color pattern recognition based on the joint fractional Fourier transform correlator", Proc. SPIE 6837, Information Optics and Photonics Technologies II, 683707 (4 January 2008); https://doi.org/10.1117/12.755418

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