Skip to main content

Image Super Resolution Using Sparse Image and Singular Values as Priors

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 6855))

Abstract

In this paper single image superresolution problem using sparse data representation is described. Image super-resolution is ill -posed inverse problem. Several methods have been proposed in the literature starting from simple interpolation techniques to learning based approach and under various regularization frame work. Recently many researchers have shown interest to super-resolve the image using sparse image representation. We slightly modified the procedure described by a similar work proposed recently. The modification suggested in the proposed approach is the method of dictionary training, feature extraction from the trained data base images and regularization. We have used singular values as prior for regularizing the ill-posed nature of the single image superresolution problem. Method of Optimal Directions algorithm (MOD) has been used in the proposed algorithm for obtaining high resolution and low resolution dictionaries from training image patches. Using the two dictionaries the given low resolution input image is super-resolved. The results of the proposed algorithm showed improvements in visual, PSNR, RMSE and SSIM metrics over other similar methods.

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

Buying options

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 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Liu, H.Y., Zhang, Y.S.: Study on the methods of super resolution image reconstruction. In: The International archives of photogrammetry, remote sensing and spatial information sciences, Beijing, vol. XXXVII.part B2 (2008)

    Google Scholar 

  2. Hou, H.S., Andrews, H.C.: Cubic splines for image interpolation and digital filtering. IEEE transactions on ASSP 26(6) (December 1978)

    Google Scholar 

  3. Kim, S.P., Bose, N.K., Valenzuela, H.A.: Recursive reconstruction of high resolution image from noisy under sampled multi frames. IEEE Transactions on ASSP 38(6) (June 1990)

    Google Scholar 

  4. Freeman, W., Jones, T., Pasztor, E.: Example based super resolution. IEEE Computer graphics and Applications 22(2), 56–65 (2002)

    Article  Google Scholar 

  5. Elad, M., Feuer, A.: Restoration of single super resolution image from several blurred, noisy, and undersampled measured images. IEEE Transactions on Image Processing 6(12) (December 1997)

    Google Scholar 

  6. Hardie, R.C., Barnard, K.J., Armstrong, E.A.: Joint MAP registration and high resolution image estimation using a sequence under sampled images. In: IEEE TIP (1997)

    Google Scholar 

  7. Farisu, S., Robinson, M.D., Elad, M., Milanfar, P.: Fast and robust multiframe super resolution. In: IEEE TIP (2004)

    Google Scholar 

  8. Tipping, M.E., Bishop, C.M.: Bayesian image super resolution. In: Proc. Neural Information Processing Systems (2003)

    Google Scholar 

  9. Yang, J., Wright, J., Huang, T., Ma, Y.: Image super resolution via sparse representation. In: Proc. IEEE Transactions on Image Processing (2009)

    Google Scholar 

  10. Zeyde, R., Elad, M., Protter, M.: On Single Image Scale-Up using sparse representations. Curves and Surfaces, Avignon-France (2010)

    Google Scholar 

  11. Engan, K., Asae, S.O., Husoy, J.H.: Multi-frame compression: Theory and design. EURASIP Signal Processing 80(10), 2121–2140 (2000)

    Article  MATH  Google Scholar 

  12. Elad, M.: Sparse and redundant representations: from theory to applications in signal and image processing, 1st edn. Springer publications, Heidelberg (2010)

    Book  MATH  Google Scholar 

  13. Pickup, L.C., Roberts, S.J., Zisserman, A.: A sampled texture prior for image super resolution. Proc. Neural Information Processing Systems (2003)

    Google Scholar 

  14. Rudraraju, K., Joshi, M.V.: Nonhomogeneous AR model based prior for multiresolution fusion. In: Proc. IEEE International Geosciences and Remote Sensing Symposium (2009)

    Google Scholar 

  15. Olshausen, B.A., Field, D.J.: Emergence of simple-cell receptive-field properties by learning sparse code for natural images. Nature 381(13), 607–609 (1996)

    Article  Google Scholar 

  16. Lewicki, M.S., Olshausen, B.A.: A probabilistic frame work for the adoptation and comparision of image codes. J. Opt. Soc. Amer. Opt. Image Sci. 16(7), 1587–1601 (1999)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ravishankar, S., Reddy, C.N., Tripathi, S., Murthy, K.V.V. (2011). Image Super Resolution Using Sparse Image and Singular Values as Priors. In: Real, P., Diaz-Pernil, D., Molina-Abril, H., Berciano, A., Kropatsch, W. (eds) Computer Analysis of Images and Patterns. CAIP 2011. Lecture Notes in Computer Science, vol 6855. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23678-5_45

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-23678-5_45

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23677-8

  • Online ISBN: 978-3-642-23678-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics