Pattern Recognition With Undersampled Holograms

Bahram Javidi; Chung-Jung Kuo

doi:10.1117/12.976596

22 August 1988 Pattern Recognition With Undersampled Holograms

Bahram Javidi, Chung-Jung Kuo

Proceedings Volume 0938, Digital and Optical Shape Representation and Pattern Recognition; (1988) https://doi.org/10.1117/12.976596
Event: 1988 Technical Symposium on Optics, Electro-Optics, and Sensors, 1988, Orlando, FL, United States

Abstract

A joint Fourier transform image correlator (JFTC) that can recover the correlation signals from an undersampled interference intensity displayed on an electrically addressed spatial light modulator (SLM) at the Fourier plane is described. The implementation of a space invariant JFTC using an electrically addressed SLM at the Fourier plane requires fine sampling of the Fourier transforms' interference intensity to resolve the fringe pattern. However, with the limited space-bandwidth product (SBWP) of the SLM, only the low spatial frequencies of the input spectrum can be recorded and displayed. This can result in the loss of the fine details of the input images which can degrade the performance of the system. Here, we show that given a defined field that contains the correlation functions, the correlation signals can be formed without fine sampling of the spatial carrier frequency term and without significant losses in the fine details of the input images. The correlation functions can be recovered from the undersampled interference intensity according to the criterion for sampling of bandpass signals given that the field that contains the correlation signals is known. Space invariant multiple object detection is possible within the defined correlation field. The proposed technique is suitable for bipolar JFTC that have one-pixel auto-correlation bandwidth and very small cross-correlation sidelobes.

Citation Download Citation

Bahram Javidi and Chung-Jung Kuo "Pattern Recognition With Undersampled Holograms", Proc. SPIE 0938, Digital and Optical Shape Representation and Pattern Recognition, (22 August 1988); https://doi.org/10.1117/12.976596

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