| 光谱学与光谱分析 |
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| Coded Aperture Spectral Data Restoration Based on Two-Step Iterative Shrinkage/Threshold |
| LI Yun1, 2, HU Bing-liang1, WANG Shuang1, LI Ran1, SHI Da-lian1,2 |
1. Xi’an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi’an 710068, China
2. Graduate University of Chinese Academy of Sciences, Beijing 100049, China |
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Abstract Coded aperture imaging spectrometer based on the concept of compressed sensing can acquire the spectral diagram of object. Coded aperture spectral data restoration reconstructs three-dimensional data cube from two-dimensional coded image. The two-step iterative shrinkage/thresholding algorithms were derived from the iterative shrinkage threshold algorithm and weighted iterative shrinkage algorithm. Recovering coded aperture spectral data using the two-step iterative shrinkage/thresholding algorithms obtained the three-dimensional spectral data cube successfully.
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Received: 2012-12-01
Accepted: 2013-08-18
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Corresponding Authors:
LI Yun
E-mail: liyun_only@126.com
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[1] Donoho D L. IEEE Transactions on Information Theory, 2006, 52(4): 1289.
[2] Gehm M E, John R, Brady D J, et al. Optics Express, 2007，15(21): 14013.
[3] Brady D J, Gehm M E, Pitsianis N, et al. Intelligent Integrated Microsystems, 2006, 6232.
[4] Donoho D, Elad M，Temlyakov V. Information Theory, 2006, 52(1): 6.
[5] Antonin Chambolle. Journal of Mathematical Imaging and Vision，2004, 20: 89.
[6] Chambolle A. Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition，2005. 136.
[7] Bioucas-Dias J M. IEEE Transations on Image Processing，2007. 1057.
[8] Daubechies I, Defriese M, DeMol C. Commun. Pure. Appl. Math., 2004: LVII：1413.
[9] Donoho D. IEEE Trans. Inf. Theory, 1995, 41(3): 613.
[10] Combettes P，Wajs V. SIAM J. Multiscale Model. Simul., 2005, 4: 1168.
[11] Bioucas-Dias J, Fijueiredo M, Oliveira J. IEEE Int. Conf. Acoustics, Speech, and Signal Processing Toulouse, 2006.
[12] Bioucas-Dias J. IEEE Trans., 2006, 15(4): 937.
[13] Figueiredo M，Nowak R. IEEE Trans Image Process, 2003, 12(8): 906. |
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