Single-pixel imaging system based on block smoothed projected quadratic reconstruction algorithm

Xiaoshuang Mou; Miao Li; Xi Wang; Wenkai Liang; Feng Wang; Yulong Li; Zanyang Guan; Boshan Yu; Lei Zhang; Yizhe Gao; Jiajie Zhang

doi:10.11884/HPLPB202234.220190

[1] Wang Feng, Guan Zanyang, Li Yulong, . Optical diagnostic systems based on Shenguang Ⅲ[J]. Scientia Sinica Physica, Mechanica & Astronomica, 48, 48-58(2018).

[2] Donoho D L. Compressed sensing[J]. IEEE Transactions on Information Theory, 52, 1289-1306(2006).

[3] Candes E J, Romberg J, Tao T. Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information[J]. IEEE Transactions on Information Theory, 52, 489-509(2006).

[4] Candes E J, Tao T. Near-optimal signal recovery from random projections: universal encoding strategies[J]. IEEE Transactions on Information Theory, 52, 5406-5425(2006).

[5] Guan Zanyang, Li Yulong, Wang Feng, et al. Study on the length of diagnostic time window of CUP-VISAR[J]. Measurement Science and Technology, 32, 125208(2021).

[6] Wang Feng, Li Yulong, Guan Zanyang, . Application of compressed sensing technology in laser inertial confinement fusion[J]. High Power Laser and Particle Beams, 34, 031021(2022).

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

[8] Li Mingfei, Yan Lu, Yang Ran, . Fast single-pixel imaging based on optimized reordering Hadamard basis[J]. Acta Physica Sinica, 68, 064202(2019).

[9] Ma Yanpeng, Wang Yanan, Wang Yikun, . Study of single-pixel detection computational imaging technology based on compressive sensing[J]. Acta Optica Sinica, 33, 1211007(2013).

[10] Chen Tao, Li Zhengwei, Wang Jianli, . Imaging system of single pixel camera based on compressed sensing[J]. Optics and Precision Engineering, 20, 2523-2530(2012).

[11] Wu Shaohua, Zhang Tiantian, Wu Bo, et al. Single-pixel camera in the visible band with fiber signal collection[J]. IEEE Access, 6, 17768-17775(2018).

[12] Wei Ziran, Zhang Jianlin, Xu Zhiyong, et al. Optimization methods of compressively sensed image reconstruction based on single-pixel imaging[J]. Applied Sciences, 10, 3288(2020).

[13] Mun S, Fowler J E. Block compressed sensing of images using directional transfms[C]2009 16th IEEE International Conference on Image Processing (ICIP). Cairo: IEEE, 2009: 30213024.

[14] Candès E J. The restricted isometry property and its implications for compressed sensing[J]. Comptes Rendus Mathematique, 346, 589-592(2008).

[15] Chen S S, Donoho D L, Saunders M A. Atomic decomposition by basis pursuit[J]. SIAM Journal on Scientific Computing, 20, 33-61(1998).

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

[17] Mallat S G, Zhang Zhifeng. Matching pursuits with time-frequency dictionaries[J]. IEEE Transactions on Signal Processing, 41, 3397-3415(1993).

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

[19] Needell D, Tropp J A. CoSaMP: iterative signal recovery from incomplete and inaccurate samples[J]. Communications of the ACM, 53, 93-100(2010).

[20] Su Jie, Zhai Aiping, Zhao Wenjing, . Hadamard single-pixel imaging using adaptive oblique zigzag sampling[J]. Acta Photonica Sinica, 50, 0311003(2021).

[21] Gan Lu. Block compressed sensing of natural images[C]2007 15th International Conference on Digital Signal Processing. Cardiff: IEEE, 2007: 403406.

[22] Van Trinh C, Dinh K Q, Jeon B. Edgepreserving block compressive sensing with projected Lweber[C]2013 20th International Conference on Systems, Signals Image Processing (IWSSIP). Buest: IEEE, 2013: 7174.

[23] Zhang Saiwen, Yu Bin, Chen Danni, . Comparison of algorithms of high-density molecule localization based on compressed sensing[J]. Chinese Journal of Lasers, 45, 0307014(2018).

[24] Wu Guangwen, Zhang Aijun, Wang Changming, . Novel optimization method for projection matrix in compress sensing theory[J]. Journal of Electronics & Information Technology, 37, 1682-1687(2015).

[25] Li Shufeng, Cao Guangjing, Wei Shanshan. Improved measurement matrix reconstruction algithm f compressed sensing[C]2018 8th International Conference on Electronics Infmation Emergency Communication (ICEIEC). 2018: 136139.

[26] Wan Rentao, Zhou Jinjia, Huang Bowen, et al. APMC: adjacent pixels based measurement coding system for compressively sensed images[J]. IEEE Transactions on Multimedia, 24, 3558-3569(2021).

[27] Kuusela T A. Single-pixel camera[J]. American Journal of Physics, 87, 846-850(2019).

[28] Wang Zhirun, Zhao Wenjing, Zhai Aiping, . Comparison on performance of deep Q network based single-pixel imaging using different orthogonal transformations[J]. Acta Photonica Sinica, 51, 0311003(2022).

[29] Sun Mingjie, Xu Zihao, Wu Ling’an. Collective noise model for focal plane modulated single-pixel imaging[J]. Optics and Lasers in Engineering, 100, 18-22(2018).