A new strategy of image denoising using multiplier-less FIR filter designed with the aid of differential evolution algorithm

Due to the rapid development of one-dimensional signal processing in last few decades, it has spread out its wings in the field of multi-dimensional signal processing too. This has mainly been dominated by the proposition and implementation of robust algorithms which have focused on efficient storage and reliable transmission of digital images of various kinds. During the transmission through wired or wireless medium, digital images often encountered different types of channel noise which can significantly distort its appearance. As a matter of fact, filtering operation of digital images forms one of the most important tasks to be performed at the receiving end. In this paper, we have proposed a novel design strategy of two-dimensional (2-D) low-pass filter by means of a powerful evolutionary optimization technique called Differential Evolution (DE) algorithm. Mask coefficients of the proposed filter are constrained to assume values as sum of powers-of-two, thus making the filter hardware friendly. Experimental results have demonstrated the power of the algorithm in reducing the effect of Gaussian noise from digital image in terms of various performance parameters like peak signal-to-noise ratio (PSNR), structural similarity index measure (SSIM), image enhancement factor (IEF) and image quality index (IQI) and so on. A number of test images have been taken into our consideration for the purpose of establishing our proposition. Simulation results have confirmed the superiority of the proposed DE-based filter over the conventional low-pass filtering method.

[1]  David Ebenezer,et al.  A New Fast and Efficient Decision-Based Algorithm for Removal of High-Density Impulse Noises , 2007, IEEE Signal Processing Letters.

[2]  Wilhelm Burger,et al.  Digital Image Processing - An Algorithmic Introduction using Java , 2008, Texts in Computer Science.

[3]  R. Storn,et al.  Differential Evolution - A simple and efficient adaptive scheme for global optimization over continuous spaces , 2004 .

[4]  A. Bovik,et al.  A universal image quality index , 2002, IEEE Signal Processing Letters.

[5]  Hsiang-Cheh Huang,et al.  Progressive Watermarking Techniques Using Genetic Algorithms , 2007 .

[6]  Ping Fu,et al.  Face Feature Selection with Binary Particle Swarm Optimization and Support Vector Machine , 2014, J. Inf. Hiding Multim. Signal Process..

[7]  David J. Fleet,et al.  Stochastic Image Denoising , 2009, BMVC.

[8]  Roberto Manduchi,et al.  Bilateral filtering for gray and color images , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

[9]  Shian-Tang Tzeng Design of 2-D FIR digital filters with specified magnitude and group delay responses by GA approach , 2007, Signal Process..

[10]  David Bull,et al.  Design of 2-D multiplierless FIR filters using genetic algorithms , 1995 .

[11]  T. Bose,et al.  Design of 2-D multiplierless IIR filters using the genetic algorithm , 2002 .

[12]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[13]  Abul Hasan Siddiqi,et al.  A new approach for high density saturated impulse noise removal using decision-based coupled window median filter , 2014, Signal Image Video Process..

[14]  Amit Konar,et al.  Particle Swarm Optimization and Differential Evolution Algorithms: Technical Analysis, Applications and Hybridization Perspectives , 2008, Advances of Computational Intelligence in Industrial Systems.

[15]  Jae S. Lim,et al.  Two-Dimensional Signal and Image Processing , 1989 .

[16]  Veerakumar Thangaraj,et al.  Removal of High Density Salt and Pepper Noise Through Modified Decision Based Unsymmetric Trimmed Median Filter , 2011, IEEE Signal Processing Letters.

[17]  J. McClellan,et al.  A 2-D FIR filter structure derived from the Chebyshev recursion , 1977 .

[18]  Djamel Chikouche,et al.  An advanced genetic algorithm for designing 2-D FIR filters , 2011, Proceedings of 2011 IEEE Pacific Rim Conference on Communications, Computers and Signal Processing.

[19]  Alimohammad Latif An Adaptive Digital Image Watermarking Scheme using Fuzzy Logic and Tabu Search , 2013, J. Inf. Hiding Multim. Signal Process..

[20]  T. Bose,et al.  Design of 2-D multiplierless filters using the genetic algorithm , 2001, Conference Record of Thirty-Fifth Asilomar Conference on Signals, Systems and Computers (Cat.No.01CH37256).

[21]  Jie-Cherng Liu,et al.  Design of 2-D Wideband Circularly Symmetric FIR Filters by Multiplierless High-Order Transformation , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[22]  Jeng-Shyang Pan,et al.  Tabu search based multi-watermarks embedding algorithm with multiple description coding , 2011, Inf. Sci..

[23]  Eero P. Simoncelli,et al.  Image quality assessment: from error visibility to structural similarity , 2004, IEEE Transactions on Image Processing.

[24]  Jingyu Hua,et al.  Image denoising using 2-D FIR filters designed with DEPSO , 2012, Multimedia Tools and Applications.

[25]  P. N. Suganthan,et al.  Differential Evolution: A Survey of the State-of-the-Art , 2011, IEEE Transactions on Evolutionary Computation.