Abstract

The image information acquisition ability of a conventional camera is usually much lower than the Shannon Limit since it does not make use of the correlation between pixels of image data. Applying a random phase modulator to code the spectral images and combining with compressive sensing (CS) theory, a spectral camera based on true thermal light ghost imaging via sparsity constraints (GISC spectral camera) is proposed and demonstrated experimentally. GISC spectral camera can acquire the information at a rate significantly below the Nyquist rate, and the resolution of the cells in the three-dimensional (3D) spectral images data-cube can be achieved with a two-dimensional (2D) detector in a single exposure. For the first time, GISC spectral camera opens the way of approaching the Shannon Limit determined by Information Theory in optical imaging instruments.

Highlights

  • The image information acquisition ability of a conventional camera is usually much lower than the Shannon Limit since it does not make use of the correlation between pixels of image data

  • Applying a random phase modulator to code the spectral images and combining with compressive sensing (CS) theory, a spectral camera based on true thermal light ghost imaging via sparsity constraints (GISC spectral camera) is proposed and demonstrated experimentally

  • For the first time, we propose a spectral camera based on true thermal light ghost imaging via sparsity constraints (GISC spectral camera) without a splitter

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Summary

Imaging via Sparsity Constraints

Zhentao Liu*, Shiyu Tan*, Jianrong Wu, Enrong Li, Xia Shen & Shensheng Han received: 04 September 2015 accepted: 20 April 2016 Published: 16 May 2016. Because the correlation between pixels of image[1] can’t be applied, the image information acquisition efficiency of such conventional point-to-point imaging mode is much lower than the Shannon Limit[2,3] determined by Information Theory in optical imaging instruments[4,5,6,7,8,9]. GISC spectral camera modulates the true thermal light into a spatially fluctuating pseudo-thermal light using a spatial random phase modulator[34,35] which, at the same time, acts as a random grating generating the uncorrelated speckles for different wavelengths, the 3D spectral images data-cube is modulated into a two-dimensional (2D) data plane and GISC spectral camera can achieve the whole wavelength image in a single exposure, leading to a more convenient detection process and higher energy efficiency compared to ghost imaging applying the temporal fluctuation of true thermal light. Rate which opens the way of approaching the Shannon Limit determined by Information Theory in optical imaging instruments[3,4,5,7]

Schematic and Resolution
Experimental Results
Discussion and Conclusion
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