Skip to main content

Single-Frame Super-Resolution via Compressive Sampling on Hybrid Reconstructions

  • Conference paper
  • First Online:
Neural Information Processing (ICONIP 2015)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9491))

Included in the following conference series:

Abstract

It is well known that super-resolution (SR) is a difficult problem, especially the single-frame super-resolution (SFSR). In this paper, we propose a novel SFSR method, called compressive sampling on hybrid reconstructions (CSHR), with high reconstruction quality and relatively low computation cost. It mainly depends on the combination of the results of other SR methods, which are characteristic of high speed and low quality SR results alone. As a result, CSHR inherits the merit of low computation cost. We resample those low quality SR results in DCT domain instead of in pixel domain and regard the similar expansion coefficients as consensus which would be compressively sampled later. In CSHR, obtaining a high resolution image is only to solve a convex optimization program. We use compressed sensing theory to ensure the efficiency of our method. Also, we give some theoretic results. Experimental results show the effectiveness of the proposed method when compared to some state-of-the-art methods.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    http://sipi.usc.edu/database/database.php?volume=misc.

  2. 2.

    More results are shown in https://gist.github.com/Brilliant/7472969d4020599a13d0.

References

  1. Candes, E., Romberg, J.: Sparsity and incoherence in compressive sampling. Inverse Prob. 23(3), 969 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  2. Candès, E.J., Romberg, J., Tao, T.: Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inf. Theory 52(2), 489–509 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  3. Candes, E.J., Romberg, J.K., Tao, T.: Stable signal recovery from incomplete and inaccurate measurements. Commun. Pure Appl. Math. 59(8), 1207–1223 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  4. Candes, E.J., Tao, T.: Near-optimal signal recovery from random projections: universal encoding strategies? IEEE Trans. Inf. Theory 52(12), 5406–5425 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  5. Donoho, D.L.: Compressed sensing. IEEE Trans. Inf. Theory 52(4), 1289–1306 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  6. Donoho, D.L., Huo, X.: Uncertainty principles and ideal atomic decomposition. IEEE Trans. Inf. Theory 47(7), 2845–2862 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  7. Huynh-Thu, Q., Ghanbari, M.: Scope of validity of PSNR in image/video quality assessment. Electron. Lett. 44(13), 800–801 (2008)

    Article  Google Scholar 

  8. Park, S.C., Park, M.K., Kang, M.G.: Super-resolution image reconstruction: a technical overview. IEEE Signal Process. Mag. 20(3), 21–36 (2003)

    Article  Google Scholar 

  9. Peleg, T., Elad, M.: A statistical prediction model based on sparse representations for single image super-resolution. IEEE Trans. Image Process. publ. IEEE Signal Process. Soc. 23(6), 2569–2582 (2014)

    Article  MathSciNet  Google Scholar 

  10. Romberg, J.: Imaging via compressive sampling [introduction to compressive sampling and recovery via convex programming]. IEEE Signal Process. Mag. 25(2), 14–20 (2008)

    Article  Google Scholar 

  11. Van Ouwerkerk, J.: Image super-resolution survey. Image Vis. Comput. 24(10), 1039–1052 (2006)

    Article  Google Scholar 

  12. Wang, Z., Bovik, A.C., Sheikh, H.R., Simoncelli, E.P.: Image quality assessment: from error visibility to structural similarity. IEEE Trans. Image Process. 13(4), 600–612 (2004)

    Article  Google Scholar 

  13. Yang, J., Wright, J., Huang, T., Ma, Y.: Image super-resolution as sparse representation of raw image patches. In: IEEE Conference on Computer Vision and Pattern Recognition, CVPR 2008, pp. 1–8. IEEE (2008)

    Google Scholar 

  14. Yang, J., Wright, J., Huang, T.S., Ma, Y.: Image super-resolution via sparse representation. IEEE Trans. Image Process. 19(11), 2861–2873 (2010)

    Article  MathSciNet  Google Scholar 

  15. Zeyde, R., Elad, M., Protter, M.: On single image scale-up using sparse-representations. In: Boissonnat, J.-D., Chenin, P., Cohen, A., Gout, C., Lyche, T., Mazure, M.-L., Schumaker, L. (eds.) Curves and Surfaces 2011. LNCS, vol. 6920, pp. 711–730. Springer, Heidelberg (2012)

    Chapter  Google Scholar 

Download references

Acknowledgements

The authors wish to thank the authors of [9, 14] for generously sharing their code and data with them.

This research is supported in part by the Major State Basic Research Development Program of China (973 Program, 2012CB315803), the National Natural Science Foundation of China (61371078), and the Research Fund for the Doctoral Program of Higher Education of China (20130002110051).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ji-Ping Zhang .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Zhang, JP., Dai, T., Xia, ST. (2015). Single-Frame Super-Resolution via Compressive Sampling on Hybrid Reconstructions. In: Arik, S., Huang, T., Lai, W., Liu, Q. (eds) Neural Information Processing. ICONIP 2015. Lecture Notes in Computer Science(), vol 9491. Springer, Cham. https://doi.org/10.1007/978-3-319-26555-1_69

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-26555-1_69

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26554-4

  • Online ISBN: 978-3-319-26555-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics