Journal on Communications ›› 2016, Vol. 37 ›› Issue (1): 100-109.doi: 10.11959/j.issn.1000-436x.2016011

• Academic paper • Previous Articles     Next Articles

Reconstruction algorithm for block compressed sensing based on variation model

Jian CHEN,xiong SUKai,zhi YANGXiu,kui ZHENGMing,qun LINLi   

  1. College of Physics and Information Engineering, Fuzhou iversity, Fuzhou 350116, China
  • Online:2016-01-25 Published:2016-01-27
  • Supported by:
    The National Natural Science Foundation of China;The National Natural Science Foundation of China;The Natural Science Founda-tion of Fujian Province;The Natural Science Founda-tion of Fujian Province;The Natural Science Founda-tion of Fujian Province;The Major Technology Project of Fujian Prov-ince;The Education Department Project of Fujian Province

Abstract:

The algorithms for block compressed sensing based on total variation and mixed variation (abbreviated as BCS-TV and BCS-MV) models were proposed to improve the performance of current reconstruction algorithms for the block-based compressed sensing. In the measuring phase, an image was sampled block-by-block. In the recovering period, it took the sparse regularization of the natural image as a priori knowledge, and approached the target function within the whole image through the modified augmented Lagrange method and alternating direction method of multipliers (ALM-ADMM). The method proposed achieves average PSNR gain of 1.5 dB and SSIM gain of 0.05 at a more stable running speed, over the previous uniformly block-based compressed sensing. It is particularly suitable for the applications of the multimedia data processing with fixed transmission delay.

Key words: total variation, image reconstruction, block compressed sensing, alternating direction method of multipliers

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