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Super-resolution compressed sensing imaging algorithm based on sub-pixel shift

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Abstract

At present, some digital signal processing methods have attracted more and more attention in improving the resolution of images. Sub-pixel shift has been widely applied in improving the resolution of compressed sensing imaging system. The resolution of the compressed sensing imaging system is limited by pixel size of the modulation system. To overcome the resolution limitation of compressed sensing imaging system, a sub-pixel shift method is proposed to enhance the resolution of modulation information and achieve super-resolution images by compressed sensing imaging system. The principle of the proposed method is introduced and the proposed method is verified using numerical simulations. Experimental results revealed that the proposed method can effectively improve the resolution of compressed sensing imaging system and obtain super-resolution image information. Additionally, the signal to noise ratio of restoration results is positively related to the sample size.

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References

  1. Tao, C., Zhengwei, L., Jianli, W., et al.: Imaging system of single pixel camera based on compressed sensing. Opt. Precis. Eng. 11, 2523–2530 (2012)

    Google Scholar 

  2. Zhiyang, Q., Yarong, Y.: Application of compressed sensing on image processing. J. Yunnan Univ. 39(S1), 63–69 (2017)

    Google Scholar 

  3. Sun, B., Edgar, M.P., BOWMAN, R., et al.: 3D computational imaging with single-pixel detectors. Science 340(6134), 844–7 (2013)

    Article  Google Scholar 

  4. Shuo, Z., Jie, W., Jincheng, W., et al.: Simple calculation method for three-dimensional imaging based on compressed sensing. Acta Opt. Sin. 01, 84–90 (2013)

    Google Scholar 

  5. Yanpeng, M., Yanan, W., Yikun, W., et al.: Study of single-pixel detection computational imaging technology based on compressive sensing. Acta Opt. Sin. 33, 1–7 (2013)

    Article  Google Scholar 

  6. Jing, C., Yongtian, W.: Research of the compressive imaging technology. Laser Optoelectron. Prog. 03, 15–22 (2012)

    Google Scholar 

  7. Shichao, Z., Simin, L., Guang, Y., et al.: Optimization of single molecules axial localization precision in 3D stochastic optical reconstruction microscopy. Acta Photonica Sin. 44(10), 1–6 (2015)

    Google Scholar 

  8. Jiangqi, C., Jinwen, M.: The improved particle swarm optimization algorithm based compressive sensing. J. Signal Process. 33(4), 488–495 (2017)

    Google Scholar 

  9. AlSaafin, W., Villena, S., Vega, M.: Compressive sensing super resolution from multiple observations with application to passive millimeter wave images. Dig. Signal Process. 50, 180–190 (2016)

    Article  Google Scholar 

  10. Jie, Zhang, Chao, Luo, Xiaoping, Shi, et al.: High resolution astronomical image denoising based on compressed sensing. J. Harbin Inst. Technol. 49(4), 22–27 (2017)

    MathSciNet  MATH  Google Scholar 

  11. Jiang, Y., Miao, S.W., Luo, H.Z., et al.: Improved search algorithm for compressive sensing image recovery based on Lp norm. J. Image Graph. 22(4), 0435–0442 (2017)

    Google Scholar 

  12. Lu, W., Liu, Y.Z., Wang, D.S.: Efficient feedback scheme based on compressed sensing in MIMO wireless networks. Comput. Electr. Eng. 39(6), 1587–1600 (2013)

    Article  Google Scholar 

  13. Shi, D., Huang, J., Wang, F., et al.: Enhancing resolution of single-pixel imaging system. Opt. Rev. 22, 1352–1359 (2015)

    Google Scholar 

  14. Shi, D., Fan, C., Shen, H., et al.: Reconstruction of spatially misaligned and turbulence degraded images. Opt. Lasers Eng. 50(5), 72–81 (2012)

    Article  Google Scholar 

  15. Du, Y., Zhang, H., Zhao, M.: Faster super-resolution imaging of high density molecules via a cascading algorithm based on compressed sensing. Opt. Express 23(14), 18563–18576 (2015)

    Article  Google Scholar 

  16. Renk, X.: Super-resolution images fusion via compressed sensing and low-rank matrix decomposition. Infrared Phys. Technol. 68, 61–68 (2015)

    Article  Google Scholar 

  17. Dong, C., Loy, C.C., He, K., et al.: Image super-resolution using deep convolutional networks. IEEE Trans. Pattern Anal. Mach. Intell. 38(2), 295–307 (2016)

    Article  Google Scholar 

  18. Yanpeng, S., Shi, Z., Lele, Q., et al.: Subspace projection based compressive sensing SFGPR imaging algorithm. J. Northeast. Univ. (Natural Sci.) 38(6), 789–792 (2017)

    Google Scholar 

  19. Jiancheng, Z., Li, F.: A method of image denoising based on compressive sensing. J. North China Univ. Technol. 24(1), 1–7 (2012)

    Google Scholar 

  20. Xinlei, L., Biao, L.: Review on progress of real-time THz sensing and imaging technology. Laser Optoelectron. Prog. 09, 55–60 (2012)

    Google Scholar 

  21. Ren, Y.M., Zhang, Y.N., Li, Y.: Advances and perspective on compressed sensing and application on image processing. Acta Autom. Sin. 40(8), 1563–1571 (2014)

    MATH  Google Scholar 

  22. Wenze, S., Zhihui, W.: Advances and perspectives on compressed sensing theory. J. Image Graph. 01, 1–12 (2012)

    Google Scholar 

Download references

Acknowledgements

This work is supported by Special Funds of Applied Science & Technology Research and Development of Guangdong Province, China (Grant: 2015B010128015).

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Correspondence to Xianjun Wu.

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Xu, B., Zhang, X. & Wu, X. Super-resolution compressed sensing imaging algorithm based on sub-pixel shift. Cluster Comput 22 (Suppl 4), 8407–8413 (2019). https://doi.org/10.1007/s10586-018-1839-2

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  • DOI: https://doi.org/10.1007/s10586-018-1839-2

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