Double-constrained CUP-VISAR compressed image reconstruction algorithm based on Kalman filtering

Yuanping Yu; Haiyan Li; Huaquan Gan; Kaitao Zheng; Qingxin Huang; Yulong Li; Zanyang Guan; Yunbao Huang; Longfei Jing

doi:10.11884/HPLPB202335.230100

[1] Celliers P M, Erskine D J, Sorce C M, et al. A high-resolution two-dimensional imaging velocimeter[J]. Review of Scientific Instruments, 81, 035101(2010).

[2] Wang Feng, Guan Zanyang, Li Yulong, . Optical diagnostic systems based on Shenguang Ⅲ[J]. Scientia Sinica Physica, Mechanica & Astronomica, 48, 065205(2018).

[3] Wu Yuji. Wideangle shock wave velocity diagnostic method related VISAR technology in laser fusion[D]. Hefei: University of Science Technology of China, 2019

[4] Wang Qiaoqiao. The pillars of a great power—laser inertial constraint fusion[J]. Modern Physics, 31, 41-49(2019).

[5] Wang Qiangqiang. Theetical experimental research on femtosecond tempal resolution streak camera[D]. Beijing: Xi’an Institute of Optics Precision Mechanics, Chinese Academy of Sciences, 2014.

[6] 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).

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

[8] Gao Liang, Liang Jinyang, Li Chiye, et al. Single-shot compressed ultrafast photography at one hundred billion frames per second[J]. Nature, 516, 74-77(2014).

[9] Yang Yongmei, Li Yulong, Guan Zanyang, et al. A diagnostic system toward high-resolution measurement of wavefront profile[J]. Optics Communications, 456, 124554(2020).

[10] Madych W R. Solutions of underdetermined systems of linear equations[R]. Shaker Heights: Institute of Mathematical Statistics, 1991: 227238.

[11] Qureshi M A, Deriche M. A new wavelet based efficient image compression algorithm using compressive sensing[J]. Multimedia Tools and Applications, 75, 6737-6754(2016).

[12] Pandey A K, Chaudhary J, Sharma A, et al. Optimum value of scale and threshold for compression of 99mTc-MDP bone scan images using Haar wavelet transform[J]. Indian Journal of Nuclear Medicine, 37, 154-161(2022).

[13] Zha Zhiyuan. Research on image regularization reconstruction with adaptive nm constraints[D]. Kunming: Kunming University of Science Technology, 2015

[14] Mahdaoui A E, Ouahabi A, Moulay M S. Image denoising using a compressive sensing approach based on regularization constraints[J]. Sensors, 22, 2199(2022).

[15] Afonso M V, Bioucas-Dias J M, Figueiredo M A T. An augmented Lagrangian approach to the constrained optimization formulation of imaging inverse problems[J]. IEEE Transactions on Image Processing, 20, 681-695(2011).

[16] Zhang Qi, Zhang Hui, Pan Jian, . A new Kalman filter image restoration algorithm[J]. Journal of Hubei University of Technology, 37, 23-27(2022).

[17] Bioucas-Dias J M, Figueiredo M A T. A new TwIST: two-step iterative shrinkage/thresholding algorithms for image restoration[J]. IEEE Transactions on Image Processing, 16, 2992-3004(2007).

[18] Sara U, Akter M, Uddin M S. Image quality assessment through FSIM, SSIM, MSE and PSNR—a comparative study[J]. Journal of Computer and Communications, 7, 8-18(2019).

[19] Zhu Li, Li Qiaoliang, Zhang Ting, . Metric of image quality based on structural similarity[J]. Opto-Electronic Engineering, 34, 108-113(2007).

[20] Sun Xue. Design implementation of 97 wavelet transfm based lifting scheme[D]. Harbin: Harbin Institute of Technology, 2013