Abstract
We propose a modified particle swarm optimization (MPSO) based method for Pseudo De-convolution of the ill-posed inverse problem namely, the space-variant image degradation (SVD). In this paper, SVD is simulated by the pseudo convolution of different sub-regions of the image with different known blurring kernels and additive random noise with unknown variance. Two heuristic modifications are proposed in PSO: 1) Initialization of the swarm and 2) Mutation of the global best. Fuzzy logic is applied for the computation of regularization parameter (RP) to cater for the sensitivity of the problem. The computation of RP is crucial due to the additive noise in the SVD image. Thus mathematical morphology (MM) is applied for better extraction of spatial activity from the distorted image. The performance of the proposed method is evaluated with different test images and noise powers. Comparative analysis demonstrates the superiority of proposed restoration, in terms of quantitative measures, over well-known existing and state-of-the-art SVD approaches.
Similar content being viewed by others
References
Bar L, Sochen N, Kiryati N (2007) Restoration of images with piecewise space-variant blur. In: 1st International conference on Scale space and variational methods in computer vision, LNCS, vol 4485. Springer, Berlin, Heidelberg, pp 533–544
Bardsley J, Jefferies S, Nagy J, Plemmons R (2006) A computational method for the restoration of images with an unknown, spatially-varying blur. Opt Express 14(5):1767–1782
Belokogne I, Carbillet M, Chesneau O (2011) How to push the limits of evolved stars observations with sphere/vlt
Biggs DS, Andrews M (1997) Acceleration of iterative image restoration algorithms. Appl Opt 36(8):1766–1775
Bilal M, Rehman MSu, Jaffar MA (2013) Evolutionary reconstruction: image restoration for space variant degradation. Smart Computing Review 3(4):220–232
Bilal M, Hussain A, Jaffar M, Choi TS, Mirza A (2014) Estimation and optimization based ill-posed inverse restoration using fuzzy logic. Multimedia Tools and Applications 69(3):1067–1087. doi:10.1007/s11042-012-1172-3
Boden AF, Redding DC, Hanisch RJ, Mo J (1996) Massively parallel spatially-variant maximum likelihood image restoration. In: Jacoby GH, Barnes J (eds) Astronomical data analysis software and systems V. Astronomical society of the pacific conference series, vol 101, p 131
Dash R, Majhi B (2009) Particle swarm optimization based regularization for image restoration. In: World congress on nature biologically inspired computing, 2009. NaBIC 2009, pp 1253–1257
Faisal M, Lanterman AD, Snyder DL, White RL (1995) Implementation of a modified Richardson-Lucy method for image restoration on a massively parallel computer to compensate for space-variant point spread of a charge-coupled-device camera. J Opt Soc Am A 12:2593–2603. doi:10.1364/JOSAA.12.002593
Gonzalez RC, Woods RE, Eddins SL (2009) Digital image processing using MATLAB, 2nd edn. Gatesmark Publishing. chap 5
Gu X, Gao L (2009) A new method for parameter estimation of edge-preserving regularization in image restoration. J Comput Appl Math 225(2):478–486
Hansen PC, Nagy JG, O’leary DP (2006) Deblurring images: matrices, spectra, and filtering. Society for industrial and applied mathematics, Philadelphia, PA 19104–2688
Klapp I, Sochen N, Mendlovic D (2012) Deblurring space-variant blur by adding noisy image. In: Bruckstein A, Haar Romeny B, Bronstein A, Bronstein M (eds) Scale space and variational methods in computer vision. Lecture notes in computer science, vol 6667. Springer, Berlin Heidelberg, pp 157–168
Kober V, Agis J (2007) Space-variant restoration with sliding discrete cosine transform. In: Kropatsch W, Kampel M, Hanbury A (eds) Computer analysis of images and patterns. Lecture notes in computer science, vol 4673. Springer, Berlin Heidelberg, pp 903–911
Lucena M, Martnez-Carrillo A, Fuertes J, Carrascosa F, Ruiz A (2014) Decision support system for classifying archaeological pottery profiles based on mathematical morphology. Multimedia Tools and Applications:1–15. doi:10.1007/s11042-014-2063-6
Masood S, Hussain A, Jaffar M, Choi TS (2013) Intelligent noise detection and filtering using neuro-fuzzy system. Multimedia Tools and Applications 63(1):93–105. doi:10.1007/s11042-012-1015-2
Mignotte M (2006) A segmentation based regularization term for image deconvolution. IEEE Trans Image Process 15:1973–1984
Nagy JG, O’Leary DP (1998) Restoring images degraded by spatially variant blur. SIAM J Sci Comput 19(4):1063–1082
Paik J, Katsaggelos A (1992) Image restoration using a modified hopfield network. IEEE Trans Image Process 1(1):49–63
Perry S, Guan L (2000) Weight assignment for adaptive image restoration by neural networks. IEEE Trans Neural Netw 11(1):156–170
Perry SW (2006) Adaptive image restoration: perception based neural network models and algorithms. PhD thesis, School of Electrical and Information Engineering, University of Sydney, NSW
Sharif M, Hussain A, Jaffar M, Choi TS (2014) Fuzzy similarity based non local means filter for rician noise removal. Multimedia tools and applications:1–24. doi:10.1007/s11042-014-1867-8
Sun Z, Li E, Zhang J, Gao X (2011) A regularized image restoration algorithm based on improved hybrid particle swarm optimization. In: 2011 6th International forum on strategic technology (IFOST), vol 2, pp 725–728
Welk M, Theis D,Weickert J (2005) Variational deblurring of images with uncertain and spatially variant blurs. In: Kropatsch W, Sablatnig R, Hanbury A (eds) Pattern recognition. Lecture notes in computer science, vol 3663. Springer, Berlin Heidelberg, pp 485–492
Zhao Y, Gui W, Chen Z, Tang J, Li L (2005) Medical images edge detection based on mathematical morphology. In: Proceedings of the 2005 IEEE engineering in medicine and biology 27th annual conference, pp 1–4
Zhou YT, Chellappa R, Vaid A, Jenkins B (1988) Image restoration using a neural network. IEEE Trans Acoust Speech Signal Process 36(7):1141–1151
Zia S, Jaffar M, Mirza A, Choi TS (2014) Rician noise removal from mr images using novel adapted selective non-local means filter. Multimedia Tools and Applications 72(1):1–19. doi:10.1007/s11042-012-1253-3
Acknowledgments
Authors would acknowledge Higher Education Commission (HEC) of Pakistan, for its continuous financial support in the meritorious role of scholarship for higher education.
Authors would like to thank the anonymous reviewers for their comments and suggestions that helped to substantially improve this paper.
Author information
Authors and Affiliations
Corresponding author
Additional information
Furthermore, “Some/all of the data presented in this paper were obtained from the Mikulski Archive for Space Telescopes (MAST). STScI is operated by the Association of Universities for Research in Astronomy, Inc., under NASA contract NAS5-26555. Support for MAST for non-HST data is provided by the NASA Office of Space Science via grant NNX13AC07G and by other grants and contracts.”
Rights and permissions
About this article
Cite this article
Bilal, M., Mujtaba, H. & Jaffar, M.A. Modified particle swarm optimization and fuzzy regularization for pseudo de-convolution of spatially variant blurs. Multimed Tools Appl 75, 6533–6548 (2016). https://doi.org/10.1007/s11042-015-2587-4
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11042-015-2587-4