Abstract
In this paper, a new computationally efficient approach has been proposed for denoising the images which are corrupted by Gaussian noise. In this approach, relatively recent category of stochastic global optimization technique i.e., particle swarm optimization (PSO) technique have been proposed for learning the parameters of adaptive thresholding function required for optimum performance. The proposed PSO-based denoising approach not only speeds up the optimization but also improves the performance in comparison with wavelet transform-based thresholding neural network (WT-TNN) approach. The results obtained shows better edge preservation performance with bior6.8 wavelet filter when compared to db8 wavelet filter. Further, problem of dependency of learning time on initial value of thresholding parameters and noise level in the image have been sorted out in the proposed approach.
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Gonzalez R.C., Woods R.E.: Digital Image Processing. 2nd edn. Pearson Prentice-Hall, Singapore (2002)
Mallat G.: Theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans. Pattern Anal. Mach. Intell. 2(7), 674–694 (1989)
Donoho D.L., Johnstone I.M.: Ideal spatial adaptation by wavelet shrinkage. Biometrika 81(3), 425–455 (1994)
Donoho D.L., Johnstone I.M.: Adapting to unknown smoothness via wavelet shrinkage. J. Am. Stat. Assoc. 90(432), 1200–1224 (1995)
Donoho D.L.: Denoising by soft thresholding. IEEE Trans. Inf. Theory 41, 613–627 (1995)
Gao H., Bruce A.G.: WaveShrink with firm shrinkage. Stat. Sin. 7, 855–874 (1997)
Gao H.: Wavelet shrinkage denoising using the nonnegative garrote. J. Comput. Graph. Stat. 7, 469–488 (1998)
Fodor, I.K., Kamath, C.: Denoising Through Wavelet shrinkage: An empirical Study. SPIE J. Electron. Imaging, 12(151) (2003)
Achim A., Bezerianos A., Tsakalides P.: Novel Bayesian multiscale method for speckle removal in medical ultrasound Images. IEEE Trans. Med. Imaging 20(8), 772–783 (2001)
Achim A., Kuruoghlu E.: Image denoising using alpha-stable distributions in the complex wavelet domain. IEEE Signal Process. Lett. 12(1), 17–20 (2005)
Mohamad, M., Hamid, M.: Ultrasound speckle suppression using heavy tailed distribution in the dual tree complex wavelet domain. In: IEEE Conference Proceeding on Wavelet Diversity and Design, pp. 65–68 (2007)
Gupta S., Chauhan R.C., Saxena S.C.: Locally adaptive wavelet domain Bayesian processor for denoising medical ultrasound images using Speckle modeling based on Rayleigh distribution. IEE Proc. Vis. Image Signal Process. 152(1), 129–135 (2005)
Michailovich O.V., Tannenbum A.: Despeckling of ultrasound images. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 53(1), 64–78 (2006)
Bhuiyan, M.I.H., Ahmad, M.O., Swamy, M.N.S.: New spatial adaptive wavelet based method for the despeckling of medical ultrasound image. In: IEEE Proceeding, pp. 2347–2350 (2007)
Hashim, B.S., Norliza, B.M., Junaidy, B.W.: Contrast resolution enhancement based on wavelet shrinkage and gray level mapping technique. In: IEEE Proceedings, pp. 165–170 (2000)
Zao, Q., Zhunag, L., Zhang, D., Zheng, B.: Denoise and contrast enhancement of ultrasound speckle image. In: ICSP Conference Proceedings, pp. 1500–1503 (2002)
Chang S., Yu B., Vetterli M.: Adaptive wavelet thresholding for image denoising and compression. IEEE Trans. Image Process 9, 1532–1546 (2000)
Zhang X.P., Desai M.D.: Adaptive denoising based on SURE risk. IEEE Signal Process. Lett 5(10), 265–267 (1998)
Zhang, X.P.: State-scale adaptive noise reduction in images based on thresholding neural network. In: IEEE Proceeding on Acoustic, Speech and Signal Processing, pp. 1889–1892 (2001)
Zhang X.P.: Thresholding neural network for adaptive noise reduction. IEEE Trans. Neural Netw. 12(3), 567–584 (2001)
Nasri M., Pour H.N.: Image denoising in the wavelet domain using a new adaptive thresholding function. Elsevier J. Neurocomput. 72, 1012–1025 (2009)
Haykin S.: Neural Network: a Comprehensive Foundation, 2nd edn. Pearson Prentice Hall, Singapore (1999)
Kennedy, J., Eberhart, R.C.: Particle swarm optimization. In: IEEE International Conference on Neural Network, Perth, Australia, pp. 1942–1948 (1995)
Clerc M., Kennedy J.: The particle swarm-explosion, stability and convergence in a multidimensional complex space. IEEE Trans. Evol. Comput. 6, 58–73 (2002)
Bergh F.V.D., Engelbrecht A.P.: A cooperative approach to particle swarm optimization. IEEE Trans. Evol. Comput. 8, 225–239 (2004)
ShuKai S.F., YenLin C.W.: Image thresholding using a novel estimation method in generalized Gaussian distribution mixture modeling. Elsevier J. Neurocomput. 72, 500–512 (2008)
Prattt W.K.: Digital Image Processing, 3rd edn. Wiley, Singapore (2006)
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Bhutada, G.G., Anand, R.S. & Saxena, S.C. PSO-based learning of sub-band adaptive thresholding function for image denoising. SIViP 6, 1–7 (2012). https://doi.org/10.1007/s11760-010-0167-7
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DOI: https://doi.org/10.1007/s11760-010-0167-7