A Novel Approach for Regularized Signal Deconvolution Based on Hybrid Swarm Intelligence: Application to Neutron Radiography

In this work, we introduce a new approach for the signal deconvolution problem, which is useful for the enhancement of neutron radiography projections. We attempt to restore original signals and get rid of noise present during acquisition or processing, due to gamma radiations or randomly distributed neutron flux. Signal deconvolution is an ill-posed inverse problem, so regularization techniques are used to smooth solutions by imposing constraints in the objective function. Various popular algorithms have been developed to solve such problem. This paper proposes a new approach to the nonlinear degraded signals restoration which is useful in many signal enhancement applications, based on a synergy of two swarm intelligence algorithms: particle swarm optimization (PSO) and bacterial foraging optimization (BFO) applied for total variation (TV) minimization, instead of the standard Tikhonov regularization method. We attempt to reconstruct or recover signals using some a priori knowledge of the degradation phenomenon. The truncated singular value decomposition and the wavelet filtering methods are also considered in this paper. A comparison between several powerful techniques is conducted.

[1]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Jianhong Shen,et al.  Deblurring images: Matrices, spectra, and filtering , 2007, Math. Comput..

[3]  Wotao Yin,et al.  An Iterative Regularization Method for Total Variation-Based Image Restoration , 2005, Multiscale Model. Simul..

[5]  J. Nagy,et al.  Restoration of atmospherically blurred images by symmetric indefinite conjugate gradient techniques , 1996 .

[6]  C. Vogel Computational Methods for Inverse Problems , 1987 .

[7]  Ajith Abraham,et al.  Synergy of PSO and Bacterial Foraging Optimization - A Comparative Study on Numerical Benchmarks , 2008, Innovations in Hybrid Intelligent Systems.

[8]  Q. Henry Wu,et al.  A bacterial swarming algorithm for global optimization , 2007, 2007 IEEE Congress on Evolutionary Computation.

[9]  Mahamed G. H. Omran Particle swarm optimization methods for pattern recognition and image processing , 2006 .

[10]  A. Boucenna,et al.  Implementation of neutron tomography around the Algerian Es-Salam research reactor: preliminary studies and first steps , 2005 .

[11]  L. Rudin,et al.  Nonlinear total variation based noise removal algorithms , 1992 .

[12]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[13]  J. Borwein,et al.  Two-Point Step Size Gradient Methods , 1988 .

[14]  M. Nikolova An Algorithm for Total Variation Minimization and Applications , 2004 .

[15]  Abdesselam Bouzerdoum,et al.  A combined quadratic optimization/median filtering technique for image restoration , 1998, SMC'98 Conference Proceedings. 1998 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.98CH36218).

[16]  G. A Theory for Multiresolution Signal Decomposition : The Wavelet Representation , 2004 .

[17]  L. Bregman The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming , 1967 .

[18]  Kevin M. Passino,et al.  Biomimicry of bacterial foraging for distributed optimization and control , 2002 .

[19]  Kostas Delibasis,et al.  Stack filter design for image restoration using genetic algorithms , 1997, Proceedings of International Conference on Image Processing.