Volume 43 Issue 1
Jan.  2014
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Sun Nian, Hu Bingliang, Wang Shuang, Yan Peng, Sun Lang, Wang Zhengjie. Reconstruction of compressive spectral imaging system of a FISTA algorithm-based coded aperture[J]. Infrared and Laser Engineering, 2014, 43(1): 238-242.
Citation: Sun Nian, Hu Bingliang, Wang Shuang, Yan Peng, Sun Lang, Wang Zhengjie. Reconstruction of compressive spectral imaging system of a FISTA algorithm-based coded aperture[J]. Infrared and Laser Engineering, 2014, 43(1): 238-242.

Reconstruction of compressive spectral imaging system of a FISTA algorithm-based coded aperture

  • Received Date: 2013-05-02
  • Rev Recd Date: 2013-06-10
  • Publish Date: 2014-01-25
  • A compression and reconstruction solution based on coded aperture was proposed. In this system, the 3D spatial-spectral information about a scene of interest was coded by a random binary element pattern which was achieved by Digital Micro-Mirror Device (DMD), and the processing was snapshot. As a result the 3D information was encoded into a 2D representation. In decoding, a Fast Iterative Shrinkage-Thresholding Algorithm (FISTA) was proposed on the basis of the Two-Step Iterative Shrinkage-Thresholding (TwIST) algorithm. The method developed in this paper did not require more than one gradient evaluation at each iteration, but just an additional point was smartly chosen and easy to compute. The experiments show that the reconstruction performance is much better than TwIST and GPSR both in spatial dimension and spectral dimension.
  • [1] Shao Xiujuan, Hu Bingliang, Yan Peng. Design of multi- spectral adaptive spectrometer based on Hadamard transform[J]. Infrared and Laser Engineering, 2010, 39(5): 963-966. (in Chinese) 邵秀娟, 胡炳睴, 闫鹏. Hadamard 变换多谱段自适应光谱 仪[J]. 红外与激光工程, 2010, 39(5): 963-966.
    [2]
    [3]
    [4] Love S P. Programmable matched filter and Hadamard transform hyperspectral imagers based on micro-mirror arrays[C]//SPIE, 2009, 7210: 721007.
    [5]
    [6] Donoho D. Compressed sensing [J]. IEEE Trans Information Theory, 2006, 52(4): 1289-1306.
    [7] Jia Xin, Liao Zhijie, Xing Tingwen. Optical system design of dynamic infrared scene projector based on digital- micromirror device [J]. Infrared and Laser Engineering, 2008, 37(4): 692-696. (in Chinese) 贾辛, 廖志杰, 邢延文. 基于DMD 的动态红外场景投影光 学系统设计[J]. 红外与激光工程, 2008, 37(4): 692-696.
    [8]
    [9] Jose M bioucas-Dias, Mario A T Figueiredo. A new TwIST: two-step iterative shrinkage/thresholding algorithms for image restoration [J]. IEEE Transactions on Image Processing, 2007, 16(12): 2992-3004.
    [10]
    [11] Amir Beck, Marc Teboulle. A fast iterative shrinkage- thresholding algorithm for linear inverse problems [J]. Imaging Science, 2009, 2(1): 183-202.
    [12]
    [13] Candes E, Romberg J. Sparsity and incoherence in compressive sampling[J]. Inverse Problem, 2007, 23(3): 969-985.
    [14]
    [15] Xiao Longlong, Liu Kun, Han Dapeng. Focal plane coding method fo r high resolution infrared imaging [J]. Infrared and Laser Engineering, 2011, 40(11): 2065-2070. (in Chinese) 肖龙龙, 刘昆, 韩大鹏. 焦平面编码高分辨率红外成像方 法[J]. 红外与激光工程, 2011, 40(11): 2065-2070.
    [16]
    [17] Lian Qiusheng, Gao Yanyan, Chen Shuzhen. Compressed sensing image reconstruction based on two-step iterative shrinkage an complex wavelet [J]. Chinese Journal of Scientific Instrument, 2009, 30(7): 1426-1430. (in Chinese) 练秋生, 高艳艳, 陈淑珍. 基于两步迭代收缩法和复数小波的 压缩传感图像重构[J]. 仪器仪表学报, 2009, 30(7): 1426-1430.
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Reconstruction of compressive spectral imaging system of a FISTA algorithm-based coded aperture

  • 1. Laboratory of Spectral Imaging Technique,Xi'an Institute of Optics and Precision Mechanics,Chinese Academy of Sciences,Xi'an 710119,China;
  • 2. University of Chinese Academy of Sciences,Beijing 100049,China

Abstract: A compression and reconstruction solution based on coded aperture was proposed. In this system, the 3D spatial-spectral information about a scene of interest was coded by a random binary element pattern which was achieved by Digital Micro-Mirror Device (DMD), and the processing was snapshot. As a result the 3D information was encoded into a 2D representation. In decoding, a Fast Iterative Shrinkage-Thresholding Algorithm (FISTA) was proposed on the basis of the Two-Step Iterative Shrinkage-Thresholding (TwIST) algorithm. The method developed in this paper did not require more than one gradient evaluation at each iteration, but just an additional point was smartly chosen and easy to compute. The experiments show that the reconstruction performance is much better than TwIST and GPSR both in spatial dimension and spectral dimension.

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