journal article·2020-11-01Open access

Reconstruction of compressed video via non-convex minimization

Chao Ji, Jinshou Tian, Liang Sheng, Kai He, Liwei Xin, Xin Yan, Yanhua Xue, Minrui Zhang, Ping Chen, Xing Wang

AIP Advances· Volume 10· Issue 11

Abstract

This paper studies the sparsity prior to compressed video reconstruction algorithms. An effective non-convex 3DTPV regularization (0 < p < 1) is proposed for sparsity promotion. Based on the augmented Lagrangian reconstruction algorithm, this paper analyzes and compares three non-convex proximity operators for the ℓp-norm function, and numerous simulation results confirmed that the 3DTPV regularization can gain higher video reconstruction quality than the existing convex regularization and is more competitive than the existing video reconstruction algorithms.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Sparse and Compressive Sensing Techniques · Advanced Image Processing Techniques · Image and Signal Denoising Methods

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Key Laboratory of Ultra-fast Photoelectric Diagnostics Technology, Xi’an Institute of Optics and Precision Mechanics (XIOPM), Chinese Academy of Sciences (CAS) 1 , Xi’an, Shaanxi 710119, China

University of Chinese Academy of Sciences 2 , Beijing 100049, China

Collaborative Innovation Center of Extreme Optics, Shanxi University 3 , 92 Wucheng road, Taiyuan 030006, Shanxi, China

The Northwest Institute of Nuclear Technology 4 , Xi’an 710024, China

State Key Laboratory of Transient Optics and Photonics, Xi’an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences 5 , Xi’an, Shaanxi 710119, China

Funding

Scientific Instrument Developing Project of the Chineses Academy of Sciences · Youth Program of National Natural Science Foundation

References (28)

Show source-provided references
1. CS-MUVI: Video compressive sensing for spatial-multiplexing cameras
2. High spatio-temporal resolution video with compressed sensing10.1364/oe.23.015992 ↗
3. Single-pixel imaging via compressive sampling10.1109/msp.2007.914730 ↗
4. Single-shot compressed ultrafast photography at one hundred billion frames per second10.1038/nature14005 ↗
5. Neighborly polytopes and sparse solution of underdetermined linear equations
6. Sparse regularization via convex analysis10.1109/tsp.2017.2711501 ↗
7. Nonlinear total variation based noise removal algorithms10.1016/0167-2789(92)90242-f ↗
8. Video reconstruction using compressed sensing measurements and 3d total variation regularization for bio-imaging applications
9. A new compressive video sensing framework for mobile broadcast10.1109/tbc.2012.2226509 ↗
10. Exact reconstruction of sparse signals via nonconvex minimization10.1109/lsp.2007.898300 ↗
11. Stable sparse approximations via nonconvex optimization
12. Constrained TpV minimization for enhanced exploitation of gradient sparsity: Application to CT image reconstruction10.1109/jtehm.2014.2300862 ↗
13. Constrained TVp-l2 model for image restoration10.1007/s10915-015-0129-x ↗
14. Constrained total generalized p-variation minimization for few-view x-ray computed tomography image reconstruction10.1371/journal.pone.0149899 ↗
15. Decoding by linear programming10.1109/tit.2005.858979 ↗
16. Generalized shrinkage and penalty functions
17. Shrinkage mappings and their induced penalty functions
18. A generalized iterated shrinkage algorithm for non-convex sparse coding
19. Enhancing sparsity by reweighted ℓ1 minimization10.1007/s00041-008-9045-x ↗
20. Iteratively re-weighted least squares minimization for sparse recovery10.1002/cpa.20303 ↗
21. Sparsest solutions of underdetermined linear systems via q minimization for 0 < q ≤ 110.1016/j.acha.2008.09.001 ↗
22. A new alternating minimization algorithm for total variation image reconstruction10.1137/080724265 ↗
23. Multiplier and gradient methods10.1007/bf00927673 ↗
24. A new TwIST: Two-step iterative shrinkage/thresholding algorithms for image restoration10.1109/tip.2007.909319 ↗
25. Generalized alternating projection based total variation minimization for compressive sensing
26. Rank minimization for snapshot compressive imaging10.1109/tpami.2018.2873587 ↗
27. Sparse reconstruction by separable approximation
28. Minimization of fraction function penalty in compressed sensing10.1109/tnnls.2019.2921404 ↗