Nothing Special   »   [go: up one dir, main page]

skip to main content
research-article

Compressed Imaging Reconstruction with Sparse Random Projection

Published: 16 April 2021 Publication History

Abstract

As the Internet of Things thrives, monitors and cameras produce tons of image data every day. To efficiently process these images, many compressed imaging frameworks are proposed. A compressed imaging framework comprises two parts, image signal measurement and reconstruction. Although a plethora of measurement devices have been designed, the development of the reconstruction is relatively lagging behind. Nowadays, most of existing reconstruction algorithms in compressed imaging are optimization problem solvers based on specific priors. The computation burdens of these optimization algorithms are enormous and the solutions are usually local optimums. Meanwhile, it is inconvenient to deploy these algorithms on cloud, which hinders the popularization of compressed imaging. In this article, we dive deep into the random projection to build reconstruction algorithms for compressed imaging. We first fully utilize the information in the measurement procedure and propose a combinatorial sparse random projection (SRP) reconstruction algorithm. Then, we generalize the SRP to a novel distributed algorithm called Cloud-SRP (CSRP), which enables efficient reconstruction on cloud. Moreover, we explore the combination of SRP with conventional optimization reconstruction algorithms and propose the Iterative-SRP (ISRP), which converges to a guaranteed fixed point. With minor modifications on the naive optimization algorithms, the ISRP yields better reconstructions. Experiments on real ghost imaging reconstruction reveal that our algorithms are effective. And simulation experiments show their advantages over the classical algorithms.

References

[1]
A. Beck and M. Teboulle. 2009. A fast iterative shrinkage-thresholding algorithm for linear inverse problems. SIAM J. Imag. Sci. 2 (1 2009), 183–202.
[2]
E. Candès, L. Demanet, D. Donoho, and L. Ying. 2006. Fast discrete curvelet transforms. SIAM J. Multisc. Model. Simul. 5 (9 2006), 861–899.
[3]
E. J. Candès, J. Romberg, and T. Tao. 2006. Robust uncertainty principles: Exact signal frequency information. IEEE Trans. Inf. Theor. 52 (3 2006), 489–509.
[4]
S. H. Chan, X. Wang, and O. A. Elgendy. 2017. Plug-and-play ADMM for image restoration: Fixed-point convergence and applications. IEEE Trans. Comput. Imag. 3, 1 (3 2017), 84–98.
[5]
L.-H. Chang and J.-Y. Wu. 2014. An improved RIP-based performance guarantee for sparse signal reconstruction via subspace pursuit. In Proceedings of the IEEE Sensor Array and Multichannel Signal Processing Workshop. 405–408.
[6]
D. Donoho and A. Montanari. 2009. Message passing algorithms for compressed sensing. Proc. Nat. Acad. Sci. United States Amer. 106, 45 (11 2009), 18914–18919.
[7]
M. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K. Kelly, and R. Baraniuk. 2008. Single-pixel imaging via compressive sampling. IEEE Sig. Proc. Mag. 25 (4 2008), 83–91.
[8]
M. F. Duarte, S. Sarvotham, D. Baron, M. B. Wakin, and R. G. Baraniuk. 2005. Distributed compressed sensing of jointly sparse signals. In Proceedings of the 39th Asilomar Conference on Signals, Systems and Computers. 1537–1541.
[9]
J. Fowler and Q. Du. 2011. Reconstructions from compressive random projections of hyperspectral imagery. In Optical Remote Sensing: Advances in Signal Processing and Exploitation Techniques. Springer, 31–48.
[10]
X. Han, B. Wu, Z. Shou, X.-Y. Liu, Y. Zhang, and L. Kong. 2020. Tensor FISTA-net for real-time snapshot compressive imaging. In Proceedings of the 34th AAAI Conference on Artificial Intelligence.
[11]
K. He, X. Zhang, S. Ren, and J. Sun. 2016. Deep residual learning for image recognition. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition. 770–778.
[12]
X. Hu, S. Zhang, Z. Lu, W. Wang, and J. Xiong. 2016. Receiver disposition optimization in distributed passive radar imaging. In Proceedings of the IEEE International Geoscience and Remote Sensing Symposium. 1018–1021.
[13]
S. Jalali and X. Yuan. 2019. Snapshot compressed sensing: Performance bounds and algorithms. IEEE Trans. Inf. Theor. 65, 12 (2019), 8005–8024.
[14]
J. Ke, P. Shankar, and M. A. Neifeld. 2009. Distributed imaging using an array of compressive cameras. Optics Commun. 282, 2 (2009), 185–197.
[15]
L. Kong, D. Zhang, Z. He, Q. Xiang, J. Wan, and M. Tao. 2016. Embracing big data with compressive sensing: A green approach in industrial wireless networks. IEEE Commun. Mag. 54 (10 2016), 53–59.
[16]
G. Kutyniok, W.-Q. Lim, and R. Reisenhofer. 2016. ShearLab 3D: Faithful digital shearlet transforms based on compactly supported shearlets. ACM Trans. Math. Softw. 42 (1 2016), 5:1–5:42.
[17]
Y.-B. Lee, L. Jeonghyeon, S. Tak, K. Lee, D. Na, S. Seo, Y. Jeong, and J. C. Ye. 2016. Sparse SPM: Sparse-dictionary learning for resting-state functional connectivity MRI analysis. NeuroImage 125 (1 2016), 1032–1045.
[18]
P. Li and C.-H. Zhang. 2014. Compressed sensing with very sparse Gaussian random projections. arXiv:stat.ME/1408.2504.
[19]
Y. Li, B. Song, R. Cao, Y. Zhang, and H. Qin. 2016. Image encryption based on compressive sensing and scrambled index for secure multimedia transmission. Trans. Multimedia Comput. Commun. Applic. 12, 4s (9 2016).
[20]
X. Liu, J. Shi, X. Wu, and G. Zeng. 2018. Fast first-photon ghost imaging. Sci. Rep. 8 (3 2018), 5012:1–5012:8.
[21]
X. Liu, D. Zhai, R. Chen, X. Ji, D. Zhao, and W. Gao. 2019. Depth restoration from RGB-D data via joint adaptive regularization and thresholding on manifolds. IEEE Trans. Image Proc. 28, 3 (2019), 1068–1079.
[22]
X. Liu, Y. Zhu, L. Kong, C. Liu, Y. Gu, A. V. Vasilakos, and M. Wu. 2015. CDC: Compressive data collection for wireless sensor networks. IEEE Trans. Parallel Distrib. Syst. 26, 8 (2015), 2188–2197.
[23]
P. Llull, X. Liao, X. Yuan, J. Yang, D. Kittle, L. Carin, G. Sapiro, and D. J. Brady. 2013. Coded aperture compressive temporal imaging. Optics Express 21, 9 (2013), 10526–10545.
[24]
A. M. M. Mostapha, G. Alsharahi, and A. Driouach. 2018. 2D FDTD simulation of ground penetrating radar imaging under subsurface with two different antenna types. Procedia Manuf. 22 (2018), 420–427.
[25]
H. Palangi, R. Ward, and L. Deng. 2016. Distributed compressive sensing: A deep learning approach. IEEE Trans. Sig. Proc. 64, 17 (9 2016), 4504–4518.
[26]
Y. C. Pati, R. Rezaiifar, and P. S. Krishnaprasad. 1993. Orthogonal matching pursuit: Recursive function approximation with applications to wavelet decomposition. In Proceedings of the Asilomar Conference on Signals, Systems & Computers 1 (1993), 40–44.
[27]
M. Rani, S. B. Dhok, and R. B. Deshmukh. 2018. A systematic review of compressive sensing: Concepts, implementations and applications. IEEE Access 6 (1 2018), 4875–4894.
[28]
M. A. T. Figueiredo, J. B. Dias, J. P. Oliveira, and R. D. Nowak. 2006. On total variation denoising: A new majorization-minimization algorithm and an experimental comparison with wavelet denoising. In Proceedings of the International Conference on Image Processing. 2633–2636.
[29]
D. S. Taubman and M. Marcellin. 2002. JPEG2000: Image Compression Fundamentals, Standards and Practice. Vol. 11. Springer, Cham.
[30]
P. Wang, J. Wang, Y. Chen, and G. Ni. 2013. Rapid processing of remote sensing images based on cloud computing. Fut. Gen. Comput. Syst. 29 (10 2013), 1963–1968.
[31]
P. Yang, L. Kong, G. Chen, J. Shi, and G. Zeng. 2019. Cloud based sparse random projection for compressed imaging. In Proceedings of the IEEE International Conference on Smart Cloud (SmartCloud’19). 193–198.
[32]
P. Yang, L. Kong, X. Liu, X. Yuan, and G. Chen. 2020. Shearlet enhanced snapshot compressive imaging. IEEE Trans. Image Proc. 29 (2020), 6466–6481.
[33]
A. P. Yazdanpanah and E. Regentova. 2017. Compressed sensing MRI using curvelet sparsity and nonlocal total variation: CS-NLTV. Electron. Imag. 2017 (1 2017), 5–9.
[34]
X. Yuan. 2016. Generalized alternating projection based total variation minimization for compressive sensing. In Proceedings of the IEEE International Conference on Image Processing (ICIP’16). 2539–2543.
[35]
X. Yuan, Y. Liu, J. Suo, and Q. Dai. 2020. Plug-and-play algorithms for large-scale snapshot compressive imaging. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition.
[36]
K. Zhang, W. Zuo, Y. Chen, D. Meng, and L. Zhang. 2017. Beyond a Gaussian denoiser: Residual learning of deep CNN for image denoising. IEEE Trans. Image Proc. 26, 7 (7 2017), 3142–3155.
[37]
K. Zhang, W. Zuo, and L. Zhang. 2018. FFDNet: Toward a fast and flexible solution for CNN based image denoising. IEEE Trans. Image Proc. 27, 9 (9 2018), 4608–4622.
[38]
S. Zhang and J. Xin. 2018. Minimization of transformed penalty: Theory, difference of convex function algorithm, and robust application in compressed sensing. Math. Progr. 169, 1 (5 2018), 307–336.
[39]
M. Zhussip, S. Soltanayev, and S. Y. Chun. 2019. Training deep learning based image denoisers from undersampled measurements without ground truth and without image prior. In Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition.

Cited By

View all
  • (2024)Deep Network for Image Compressed Sensing Coding Using Local Structural SamplingACM Transactions on Multimedia Computing, Communications, and Applications10.1145/364944120:7(1-22)Online publication date: 26-Feb-2024

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image ACM Transactions on Multimedia Computing, Communications, and Applications
ACM Transactions on Multimedia Computing, Communications, and Applications  Volume 17, Issue 1
February 2021
392 pages
ISSN:1551-6857
EISSN:1551-6865
DOI:10.1145/3453992
Issue’s Table of Contents
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected].

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 16 April 2021
Accepted: 01 August 2020
Revised: 01 May 2020
Received: 01 January 2020
Published in TOMM Volume 17, Issue 1

Permissions

Request permissions for this article.

Check for updates

Author Tags

  1. Compressed sensing
  2. random projection
  3. cloud computing
  4. internet of things
  5. transform domain

Qualifiers

  • Research-article
  • Refereed

Funding Sources

  • NSFC
  • Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)31
  • Downloads (Last 6 weeks)3
Reflects downloads up to 13 Nov 2024

Other Metrics

Citations

Cited By

View all
  • (2024)Deep Network for Image Compressed Sensing Coding Using Local Structural SamplingACM Transactions on Multimedia Computing, Communications, and Applications10.1145/364944120:7(1-22)Online publication date: 26-Feb-2024

View Options

Get Access

Login options

Full Access

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

HTML Format

View this article in HTML Format.

HTML Format

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media