Skip to main content

Bayesian Image Estimation from an Incomplete Set of Blurred, Undersampled Low Resolution Images

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2652))

Abstract

This paper deals with the problem of reconstructing a high-resolution image from an incomplete set of undersampled, blurred and noisy images shifted with subpixel displacement. We derive mathematical expressions for the calculation of the maximum a posteriori estimate of the high resolution image and the estimation of the parameters involved in the model. We also examine the role played by the prior model when this incomplete set of low resolution images is used. The performance of the method is tested experimentally.

This work has been partially supported by the “Comisión Nacional de Ciencia y Tecnología” under contract TIC2000-1275.

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. Aizawa, K., Komatsu, T., Saito, T.: A scheme for acquiring very high resolution images using multiple cameras. In: IEEE Conference on Audio, Speech and Signal Proc., vol. 3, pp. 289–292 (1992)

    Google Scholar 

  2. Baker, S., Kanade, T.: Limits on super-resolution and how to break them. IEEE Transactions on Pattern Analysis and Machine Intelligence 24(9) (2002)

    Article  Google Scholar 

  3. Borman, S., Stevenson, R.: Spatial resolution enhancement of low-resolution image sequences. A comprehensive review with directions for future research. Technical report, Laboratory for Image and Signal Analysis, University of Notre Dame (1998)

    Google Scholar 

  4. Bose, N.K., Boo, K.J.: High-resolution image reconstruction with multisensors. Int. Journ. Imaging Systems and Technology 9, 141–163 (1998)

    Article  Google Scholar 

  5. Bose, N.K., Lertrattanapanich, S., Koo, J.: Advances in superresolution using L-curve. In: IEEE International Symposium on Circuits and Systems, vol. 2, pp. 433–436 (2001)

    Google Scholar 

  6. Elad, M., Feuer, A.: Restoration of a single super-resolution image from several blurred, noisy, and undersampled measured images. IEEE Trans. on Image Proc. 6, 1646–1658 (1997)

    Article  Google Scholar 

  7. Irani, M., Peleg, S.: Motion analysis for image enhancement: Resolution, occlusion, and transparency. J. of Visual Comm. and Image Representation 4(4), 324–335 (1993)

    Article  Google Scholar 

  8. Katsaggelos, A.K., Lay, K.T., Galatsanos, N.P.: A general framework for frequency domain multi-channel signal processing. IEEE Image Proc. 2(3), 417–420 (1993)

    Article  Google Scholar 

  9. Kim, S.P., Bose, N.K., Valenzuela, H.M.: Recursive reconstruction of high resolution image from noisy undersampled multiframes. IEEE Trans. on Acoustics, Speech and Signal Proc. 38(6), 1013–1027 (1990)

    Article  Google Scholar 

  10. Mateos, J., Molina, R., Katsaggelos, A.K.: Bayesian high resolution image reconstruction with incomplete multisensor low resolution systems. To appear in Proc. International Conference on Acoustic, Speech and Signal Proc. (2003)

    Google Scholar 

  11. Molina, R., Núńez, J., Cortijo, F., Mateos, J.: Image restoration in Astronomy. A Bayesian review. IEEE Signal Proc. Magazine 18, 11–29 (2001)

    Article  Google Scholar 

  12. Molina, R., Vega, M., Abad, J. Katsaggelos, A.K.: Parameter estimation in Bayesian high-resolution image reconstruction with multisensors. Submitted to IEEE Trans. Image Proc. (2002)

    Google Scholar 

  13. Ng, M.K., Yip, A.M.: A fast MAP algorithm for high-resolution image reconstruction with multisensors. Multidim. Systems and Signal Proc. 12, 143–164 (2001)

    Article  MathSciNet  Google Scholar 

  14. Nguyen, N., Milanfar, P., Golub, G.: A computationally efficient superresolution image reconstruction algorithm. IEEE Trans. on Image Proc. 10(4), 573–583 (2001)

    Article  Google Scholar 

  15. Ripley, B.D.: Spatial Statistics. John Wiley, Chichester (1981)

    Book  Google Scholar 

  16. Stark, H., Oskoui, P.: High-resolution image recovery from image-plane arrays, using convex projections. Journal of the Optical Society A 6(11), 1715–1726 (1989)

    Article  Google Scholar 

  17. Tom, B.C., Galatsanos, N.P., Katsaggelos, A.K.: Reconstruction of a high resolution image from multiple low resolution images. In: Chaudhuri, S. (ed.) Super-Resolution Imaging. ch. 4, pp. 73–105. Kluwer Academic Publishers, Dordrecht (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mateos, J., Vega, M., Molina, R., Katsaggelos, A.K. (2003). Bayesian Image Estimation from an Incomplete Set of Blurred, Undersampled Low Resolution Images. In: Perales, F.J., Campilho, A.J.C., de la Blanca, N.P., Sanfeliu, A. (eds) Pattern Recognition and Image Analysis. IbPRIA 2003. Lecture Notes in Computer Science, vol 2652. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44871-6_63

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-44871-6_63

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40217-6

  • Online ISBN: 978-3-540-44871-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics