Nonlinear correlation with Gaussian filtering in the Fourier domain

Sherif Kishk; Steven Verrall; Bahram Javidi

doi:10.1117/12.405858

2 November 2000 Nonlinear correlation with Gaussian filtering in the Fourier domain

Sherif Kishk, Steven Verrall, Bahram Javidi

Proceedings Volume 4113, Algorithms and Systems for Optical Information Processing IV; (2000) https://doi.org/10.1117/12.405858
Event: International Symposium on Optical Science and Technology, 2000, San Diego, CA, United States

Abstract

The performance of nonlinear joint transform correlators (JTCs) are experimentally tested with respect to in-plane and out-of-plane rotation distortions. Optical experiments are presented for both linear and nonlinear joint transform correlators. The robustness of these systems to rotation distortions is investigated. The results show that nonlinear JTCs perform similarly to linear JTCs in the presence of out- of-plane rotation distortions, but that nonlinear JTCs are more sensitive than linear JTCs to in-plane rotation distortions. However, it is well known that nonlinear JTCs have the desirable properties of illumination tolerance and discrimination sensitivity. To reduce the sensitivity of nonlinear JTCs to in-plane rotation distortions, the nonlinear joint power spectrum is multiplied by a circularly symmetric Gaussian function. This is equivalent to applying a Gaussian filter to the nonlinear JTC output. The experimental results show that using such a Gaussian filter provides nonlinear JTCs with similar in-plane rotation tolerance to that of linear JTCs.

Citation Download Citation

Sherif Kishk, Steven Verrall, and Bahram Javidi "Nonlinear correlation with Gaussian filtering in the Fourier domain", Proc. SPIE 4113, Algorithms and Systems for Optical Information Processing IV, (2 November 2000); https://doi.org/10.1117/12.405858

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