Abstract
Sampling high-dimensional images is challenging due to limited availability of sensors; scanning is usually necessary in these cases. To mitigate this challenge, snapshot compressive imaging (SCI) was proposed to capture the high-dimensional (usually 3D) images using a 2D sensor (detector). Via novel optical design, the measurement captured by the sensor is an encoded image of multiple frames of the 3D desired signal. Following this, reconstruction algorithms are employed to retrieve the high-dimensional data. In this paper, we consider different plug-and-play (PnP) algorithms for SCI reconstruction, where various denoisers can be used into diverse solvers, such as ISTA, FISTA, TwIST, ADMM and GAP. Regarding the denoisers, though various algorithms have been proposed, the total variation (TV) based method is still the most efficient one due to a good trade-off between computational time and performance. This paper aims to answer the question of which TV penalty (anisotropic TV, isotropic TV and vectorized TV) works best for video SCI reconstruction? Various TV denoising and solvers are developed and tested for video SCI reconstruction on both simulation and real datasets.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Beck, A., Teboulle, M.: Fast gradient-based algorithms for constrained total variation image denoising and deblurring problems. IEEE Trans. Image Process. 18(11), 2419–2434 (2009)
Beck, A., Teboulle, M.: A fast iterative shrinkage-thresholding algorithm for linear inverse problems. SIAM J. Imaging Sci. 2(1), 183–202 (2009)
Bioucas-Dias, J., Figueiredo, M.: A new TwIST: two-step iterative shrinkage/thresholding algorithms for image restoration. IEEE Trans. Image Process. 16(12), 2992–3004 (2007)
Boyd, S., Parikh, N., Chu, E., Peleato, B., Eckstein, J.: Distributed optimization and statistical learning via the alternating direction method of multipliers. Found. Trends Mach. Learn. 3(1), 1–122 (2011)
Bresson, X., Chan, T.F.: Fast dual minimization of the vectorial total variation norm and applications to color image processing. Inverse Probl. Imaging 2, 455 (2008)
Chambolle, A.: An algorithm for total variation minimization and applications. J. Math. Imaging Vis. 20(1–2), 89–97 (2004)
Chambolle, A.: Total variation minimization and a class of binary MRF models. In: Rangarajan, A., Vemuri, B., Yuille, A.L. (eds.) EMMCVPR 2005. LNCS, vol. 3757, pp. 136–152. Springer, Heidelberg (2005). https://doi.org/10.1007/11585978_10
Chan, S.H., Wang, X., Elgendy, O.A.: Plug-and-play ADMM for image restoration: fixed-point convergence and applications. IEEE Trans. Comput. Imaging 3, 84–98 (2017)
Cheng, Z., et al.: Memory-efficient network for large-scale video compressive sensing. In: IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), June 2021
Cheng, Z., et al.: BIRNAT: bidirectional recurrent neural networks with adversarial training for video snapshot compressive imaging. In: Vedaldi, A., Bischof, H., Brox, T., Frahm, J.-M. (eds.) ECCV 2020. LNCS, vol. 12369, pp. 258–275. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-58586-0_16
Donoho, D.L.: Compressed sensing. IEEE Trans. Inf. Theory 52(4), 1289–1306 (2006)
Jalali, S., Yuan, X.: Snapshot compressed sensing: performance bounds and algorithms. IEEE Trans. Inf. Theory 65(12), 8005–8024 (2019)
Liao, X., Li, H., Carin, L.: Generalized alternating projection for weighted-\(\ell _{2,1}\) minimization with applications to model-based compressive sensing. SIAM J. Imaging Sci. 7(2), 797–823 (2014)
Liu, Y., Yuan, X., Suo, J., Brady, D., Dai, Q.: Rank minimization for snapshot compressive imaging. IEEE Trans. Pattern Anal. Mach. Intell. 41(12), 2990–3006 (2019)
Llull, P., et al.: Coded aperture compressive temporal imaging. Opt. Express 21(9), 10526–10545 (2013)
Ma, J., Liu, X., Shou, Z., Yuan, X.: Deep tensor ADMM-Net for snapshot compressive imaging. In: IEEE/CVF Conference on Computer Vision (ICCV) (2019)
Ma, X., Yuan, X., Fu, C., Arce, G.R.: Led-based compressive spectral-temporal imaging. Opt. Express 29(7), 10698–10715 (2021)
Meng, Z., Jalali, S., Yuan, X.: Gap-net for snapshot compressive imaging. arXiv:2012:08364 (2020)
Meng, Z., Ma, J., Yuan, X.: End-to-end low cost compressive spectral imaging with spatial-spectral self-attention. In: Vedaldi, A., Bischof, H., Brox, T., Frahm, J.-M. (eds.) ECCV 2020. LNCS, vol. 12368, pp. 187–204. Springer, Cham (2020). https://doi.org/10.1007/978-3-030-58592-1_12
Meng, Z., Qiao, M., Ma, J., Yu, Z., Xu, K., Yuan, X.: Snapshot multispectral endomicroscopy. Opt. Lett. 45(14), 3897–3900 (2020)
Miao, X., Yuan, X., Pu, Y., Athitsos, V.: \(\lambda \)-Net: reconstruct hyperspectral images from a snapshot measurement. In: IEEE/CVF Conference on Computer Vision (ICCV) (2019)
Qiao, M., Liu, X., Yuan, X.: Snapshot spatial-temporal compressive imaging. Opt. Lett. 45(7), 1659–1662 (2020)
Qiao, M., Liu, X., Yuan, X.: Snapshot temporal compressive microscopy using an iterative algorithm with untrained neural networks. Opt. Lett. 46(8), 1888–1891 (2021)
Qiao, M., Meng, Z., Ma, J., Yuan, X.: Deep learning for video compressive sensing. APL Photonics 5(3), 030801 (2020)
Selesnick, I., Bayram, I.: Total variation filtering. Connexions (2009)
Sun, Y., Yuan, X., Pang, S.: Compressive high-speed stereo imaging. Opt. Express 25(15), 18182–18190 (2017)
Sun, Y., Yuan, X., Pang, S.: High-speed compressive range imaging based on active illumination. Opt. Express 24(20), 22836–22846 (2016)
Wagadarikar, A., Pitsianis, N., Sun, X., Brady, D.: Video rate spectral imaging using a coded aperture snapshot spectral imager. Opt. Express 17(8), 6368–6388 (2009)
Wang, Z., Zhang, H., Cheng, Z., Chen, B., Yuan, X.: MetaSCI: scalable and adaptive reconstruction for video compressive sensing. In: IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), June 2021
Yang, J., et al.: Compressive sensing by learning a Gaussian mixture model from measurements. IEEE Trans. Image Process. 24(1), 106–119 (2015)
Yang, J., et al.: Video compressive sensing using Gaussian mixture models. IEEE Trans. Image Process. 23(11), 4863–4878 (2014)
Yuan, X.: Generalized alternating projection based total variation minimization for compressive sensing. In: 2016 IEEE International Conference on Image Processing (ICIP), pp. 2539–2543, September 2016
Yuan, X., Brady, D.J., Katsaggelos, A.K.: Snapshot compressive imaging: theory, algorithms, and applications. IEEE Sig. Process. Mag. 38(2), 65–88 (2021)
Yuan, X., et al.: Low-cost compressive sensing for color video and depth. In: IEEE Conference on Computer Vision and Pattern Recognition (CVPR) (2014)
Yuan, X., Tsai, T.H., Zhu, R., Llull, P., Brady, D.J., Carin, L.: Compressive hyperspectral imaging with side information. IEEE J. Sel. Top. Sig. Process. 9(6), 964–976 (2015)
Yuan, X., Liu, Y., Suo, J., Dai, Q.: Plug-and-Play algorithms for large-scale snapshot compressive imaging. In: The IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR), June 2020
Yuan, X., Yang Liu, J.S., Durand, F., Dai, Q.: Plug-and-Play algorithms for video snapshot compressive imaging. arXiv: 2101.04822, January 2021
Zhu, M., Wright, S.J., Chan, T.F.: Duality-based algorithms for total-variation-regularized image restoration. Comput. Optim. Appl. 47(3), 377–400 (2010). https://doi.org/10.1007/s10589-008-9225-2
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Yuan, X. (2021). Various Plug-and-Play Algorithms with Diverse Total Variation Methods for Video Snapshot Compressive Imaging. In: Fang, L., Chen, Y., Zhai, G., Wang, J., Wang, R., Dong, W. (eds) Artificial Intelligence. CICAI 2021. Lecture Notes in Computer Science(), vol 13069. Springer, Cham. https://doi.org/10.1007/978-3-030-93046-2_29
Download citation
DOI: https://doi.org/10.1007/978-3-030-93046-2_29
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-93045-5
Online ISBN: 978-3-030-93046-2
eBook Packages: Computer ScienceComputer Science (R0)