Analysis and Comparison of Regularization Techniques for Image Deblurring | SpringerLink
Skip to main content

Analysis and Comparison of Regularization Techniques for Image Deblurring

  • Conference paper
  • First Online:
Proceedings of Fifth International Conference on Soft Computing for Problem Solving

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 436))

  • 1218 Accesses

Abstract

Image deblurring or deconvolution problems are referred as inverse problems which are usually ill-posed and are quite difficult to solve. These problems can be optimized by the use of some advanced statistical methods, i.e., regularizers. There is, however, a lack of comparisons between the advanced techniques developed so far in order to optimize the results. This paper focuses on the comparison of two algorithms, i.e., augmented Lagrangian method for total variation regularization (ALTV) and primal-dual projected gradient (PDPG) algorithm for Beltrami regularization. It is shown that primal-dual projected gradient Beltrami regularization technique is better in terms of superior image quality generation while taking relatively higher execution time.

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

Access this chapter

Subscribe and save

Springer+ Basic
¥17,985 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
JPY 3498
Price includes VAT (Japan)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
JPY 22879
Price includes VAT (Japan)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
JPY 28599
Price includes VAT (Japan)
  • 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

Similar content being viewed by others

References

  1. Helstrom, C.W.: Image restoration by the method of least squares. J. Opt. Soc. Am. A 57, 297–303 (1967)

    Google Scholar 

  2. Hillery, A.D., Chin, R.T.: Iterative wiener filters for image restoration. IEEE Trans. Signal Process. 39, 1892–1899, (1991)

    Google Scholar 

  3. Petersen, M.E., de Ridder, D., Handels, H.: Image processing with neural networks-A review. Pattern Recogn. Soc. 35, 2279–2301 (2002)

    Google Scholar 

  4. Fish, D.A., Brinicombe, A.M., Pike, E.R.: Blind Deconvolution by means of the richardson-lucy algorithm. J. Opt. Soc. Am. A 12, 58–65 (1995)

    Google Scholar 

  5. Dong, W., Zhang L., Shi, G., Wu, X.: Image deblurring and super-resolution by adaptive sparse domain selection and adaptive regularization. IEEE Trans. Image Process. 20 (2011)

    Google Scholar 

  6. Kundur, D., Hatzinakos, D.: Blind image deconvolution. IEEE Signal Process. Mag. 1053–588 (1996)

    Google Scholar 

  7. Ruhe. A. (ed.).: BIT numerical mathematics In: Hansen, P.C. (ed.) The Truncated SVD As A Method For Regularization, vol. 27, pp. 534–553. Springer (1987)

    Google Scholar 

  8. Ying, L., Xu, D., Liang, Z.-P.: On tikhonov regularization for image reconstruction in parallel MRI. In: Annual International Conference of the IEEE EMBS. San Francisco, CA, USA (2004)

    Google Scholar 

  9. Li, Y., Santosa, F.: A computational algorithm for minimizing total variation in image restoration. IEEE Trans. Image Process. 5, 987–995 (1996)

    Google Scholar 

  10. Getreuer, P.: Total Variation deconvolution using split bregman. Image Process. Line 2, 158–174 (2012)

    Google Scholar 

  11. Rudin, L.I., Osher, S., Fatemi E.: Nonlinear total variation based noise removal algorithms. Physica D. 60, 259–268 (1992)

    Google Scholar 

  12. Sochen, N., Deriche, R., Lopez-Perez, L.: Variational beltrami flows over manifolds. Int. Conf. Image Process. Proc. IEEE, 1(I), 861–864 (2003)

    Google Scholar 

  13. Sommer, G., Zeevi, Y.Y. (ed.).: Algebraic frames for the perception-action cycle. In: Sochen, N.A., Gilboa, G., Zeevi1 Y.Y.: Color Image Enhancement by a Forward-and-Backward Adaptive Beltrami Flow. Lecture Notes in Computer Science, vol. 1888, pp. 319–328. Springer, Berlin, Heidelberg, New York (2000)

    Google Scholar 

  14. Chan, S.H., Khoshabeh, R., Gibson, K.B., Gill P.E., Nguyen T.Q.: An Augmented lagrangian method for total variation video restoration. IEEE Trans. Image Process. 20, 3097–3111 (2011)

    Google Scholar 

  15. Zossoa, D., Bustin, A.: A primal-dual projected gradient algorithm for efficient beltrami regularization. Comput. Vis. Image Underst. (2014)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Manoj Purohit .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer Science+Business Media Singapore

About this paper

Cite this paper

Deepa Saini, Manoj Purohit, Manvendra Singh, Sudhir Khare, Kaushik, B.K. (2016). Analysis and Comparison of Regularization Techniques for Image Deblurring. In: Pant, M., Deep, K., Bansal, J., Nagar, A., Das, K. (eds) Proceedings of Fifth International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 436. Springer, Singapore. https://doi.org/10.1007/978-981-10-0448-3_58

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-0448-3_58

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-0447-6

  • Online ISBN: 978-981-10-0448-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics