光学学报, 2014, 34 (10): 1011005, 网络出版: 2014-09-09   

基于相位调制的单次曝光压缩感知成像

Snapshot Compressive Imaging by Phase Modulation
作者单位
中国科学院上海光学精密机械研究所量子光学重点实验室, 上海 201800
摘要
随着对成像分辨率的要求日益提高,成像所需采集的数据量不断增大,亟需发展一种具有更高图像信息获取效率的压缩成像方式。压缩感知信息理论的兴起使压缩成像研究得到了快速的发展。提出了一种基于空间随机相位调制的单次曝光压缩感知成像方案,通过压缩成像实验验证了该成像方案在原理上的可行性。理论分析并实验验证了系统的空间分辨能力、信噪比随系统参数变化的相互制约关系。
Abstract
With the increasing need for higher image resolution and amount of data for imaging, it is imperative to develop novel compressive imaging technology with higher information acquiring efficiency. The rise of compressive sensing theory paves the way for compressive imaging. A snapshot compressive imaging strategy by spatial phase modulation is proposed. The feasibility for the imaging strategy is testified by compressive imaging experiment. The spatial resolution and signal noise ratio are analyzed by theory and testified by the experiments, the restrictive relation between them is released.
参考文献

[1] E J Candès, M B Wakin. An introduction to compressive sampling[J]. IEEE Signal Processing Magazine, 2008, 25(2): 21-30.

[2] G H Chen, J Tang, S Leng. Prior image constrained compressed sensing (PICCS): a method to accurately reconstruct dynamic CT images from highly undersampled projection data sets[J]. Medical Physics, 2008, 35(2): 660-663.

[3] 李镜, 孙怡. 基于L1范数的微分相位衬度 CT 稀疏角度重建算法[J]. 光学学报, 2012, 32(3): 0311002.

    Li Jing, Sun Yi. L1-norm-based differential phase-contrast computerized tomography reconstruction algorithm with sparse angular resolution[J]. Acta Optica Sinica, 2012, 32(3): 0311002.

[4] M Lustig, D Donoho, J Pauly. Sparse MRI: the application of compressed sensing for rapid MR imaging [J]. Magnetic Resonance in Medicine, 2007, 58(6): 1182-1195.

[5] M A Herman, T Strohmer. High-resolution radar via compressed sensing[J]. IEEE Transactions on Signal Processing, 2009, 57(6): 2275-2284.

[6] L C Potter, E Ertin, J T Parker, et al.. Sparsity and compressed sensing in radar imaging [J]. Proceedings of the IEEE, 2010, 98(6): 1006-1020.

[7] O Katz, Y Bromberg, Y Silberberg. Compressive ghost imaging[J]. Appl Phys Lett, 2009, 95(13): 131110.

[8] J Y Liu, J B Zhu, C Lu, et al.. High-quality quantum-imaging algorithm and experiment based on compressive sensing [J]. Opt Lett, 2010, 35(8): 1206-1208.

[9] W Gong, S Han. Super-resolution far-field ghost imaging via compressive sampling[J]. arXiv preprint, 2010, arXiv:0911.4750.

[10] W Gong, S Han. Experimental investigation of the quality of lensless super-resolution ghost imaging via sparsity constraints[J]. Phys Lett A, 2012, 376(17): 1519-1522.

[11] 张硕, 王杰, 王金成, 等. 基于压缩感知的三维物体成像的简单计算方法[J]. 光学学报, 2013, 33(1): 0111004.

    Zhang Shuo, Wang Jie, Wang Jincheng, et al.. Simple calculation method for three-dimensional imaging based on compressed sensing[J]. Acta Optica Sinica, 2013, 33(1): 0111004.

[12] M F Duarte, M A Davenport, D Takhar, et al.. Single-pixel imaging via compressive sampling[J]. IEEE Signal Processing Magazine, 2008, 25(2): 83-91.

[13] 陆明海, 沈夏, 韩申生. 基于数字微镜器件的压缩感知关联成像研究[J]. 光学学报, 2011, 31(7): 0711002.

    Lu Minghai, Shen Xia, Han Shensheng. Ghost imaging via compressive sampling based on digital micromirror device[J]. Acta Optica Sinica, 2011, 31(7): 0711002.

[14] D Kittle, K Choi, A Wagadarikar, et al.. Multiframe image estimation for coded aperture snapshot spectral imagers[J]. Appl Opt, 2010, 49(36): 6824-6833.

[15] A Stern, Y Rivenson, B Javidi. Single-shot compressive imaging[C]. SPIE, 2007, 6778: 67780J.

[16] 张成, 杨海蓉, 韦穗. 循环托普利兹块相位掩模可压缩双透镜成像[J]. 光学学报, 2011, 31(8): 0811001.

    Zhang Cheng, Yang Hairong, Wei Sui. Compressive double-lens imaging using circulant-toeplitz-block phase mask [J]. Acta Optica Sinica, 2011, 31(8): 0811001.

[17] R Fergus, A Torralba, W T Freeman. Random Lens Imaging [R]. Massachusetts: MIT CSAIL Technical Report, 2006.

[18] M A T Figueiredo, R D Nowak, S J Wright. Gradient projection for sparse reconstruction: application to compressed sensing and other inverse problems[J]. IEEE Journal of Selected Topics in Signal Processing, 2007, 1(4): 586-597.

[19] J Tropp, A Gilbert. Signal recovery from random measurements via orthogonal matching pursuit [J]. IEEE Transactions on Information Theory, 2007, 53(12): 4655-4666.

[20] E Li, M Chen, W Gong, et al.. A fast converging sparse reconstruction algorithm in ghost imaging[J]. Journal of Electronics, 2012, 29(6): 617-620.

[21] 古德曼. 光学中的散斑现象:理论与应用[M]. 曹其智,陈家璧 译.北京:科学出版社,2009. 23-24.

    J W Goodman. Speckle Phenomena in Optics: Theory and Applications [M]. Cao Qizhi, Chen Jiabi, Transl., Beijing: Science Press, 2009. 23-24.

吴建荣, 沈夏, 喻虹, 陈喆, 刘震涛, 谭诗语, 韩申生. 基于相位调制的单次曝光压缩感知成像[J]. 光学学报, 2014, 34(10): 1011005. Wu Jianrong, Shen Xia, Yu Hong, Chen Zhe, Liu Zhentao, Tan Shiyu, Han Shensheng. Snapshot Compressive Imaging by Phase Modulation[J]. Acta Optica Sinica, 2014, 34(10): 1011005.

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