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Proceedings Paper

Compressive hyperspectral imaging using total variation minimization
Author(s): Dennis J. Lee; Eric A. Shields
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Paper Abstract

Compressive sensing shows promise for sensors that collect fewer samples than required by traditional Shannon-Nyquist sampling theory. Recent sensor designs for hyperspectral imaging encode light using spectral modulators such as spatial light modulators, liquid crystal phase retarders, and Fabry-Perot resonators. The hyperspectral imager consists of a filter array followed by a detector array. It encodes spectra with less measurements than the number of bands in the signal, making reconstruction an underdetermined problem. We propose a reconstruction algorithm for hyperspectral images encoded through spectral modulators. Our approach constrains pixels to be similar to their neighbors in space and wavelength, as natural images tend to vary smoothly, and it increases robustness to noise. It combines L1 minimization in the wavelet domain to enforce sparsity and total variation in the image domain for smoothness. The alternating direction method of multipliers (ADMM) simplifies the optimization procedure. Our algorithm constrains encoded, compressed hyperspectral images to be smooth in their reconstruction, and we present simulation results to illustrate our technique. This work improves the reconstruction of hyperspectral images from encoded, multiplexed, and sparse measurements.

Paper Details

Date Published: 18 September 2018
PDF: 18 pages
Proc. SPIE 10768, Imaging Spectrometry XXII: Applications, Sensors, and Processing, 1076804 (18 September 2018); doi: 10.1117/12.2322145
Show Author Affiliations
Dennis J. Lee, Sandia National Labs. (United States)
Eric A. Shields, Sandia National Labs. (United States)

Published in SPIE Proceedings Vol. 10768:
Imaging Spectrometry XXII: Applications, Sensors, and Processing
John F. Silny; Emmett J. Ientilucci, Editor(s)

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