A New Dual Tree Wavelet Based Image Denoising Using Fuzzy Shrink and Lifting Scheme


(*) Corresponding author


Authors' affiliations


DOI's assignment:
the author of the article can submit here a request for assignment of a DOI number to this resource!
Cost of the service: euros 10,00 (for a DOI)

Abstract


Images are often corrupted by noise owing to channel communication errors, defective image acquisition plans or devices, engine sparks, power interference and atmospheric electrical emissions. In proposed method a new wavelet shrinkage algorithm based on fuzzy logic and the lifting scheme is used. In particular, intra-scale dependency within wavelet coefficients is modeled using a fuzzy feature. This fuzzy feature differentiates between important coefficients, namely, image discontinuity coefficients and noisy coefficients. The same is used for enhancing wavelet coefficients' information in the shrinkage step, which results in the fuzzy membership function shrinking the wavelet coefficients based on the fuzzy feature. Examine that the proposed image denoising algorithm in the new shiftable and modified version of discrete wavelet transform, is the dual-tree discrete wavelet transform. Also that the lifting scheme is there it allows a faster implementation of the WT and a fully in-place calculation of the WT. In addition, no extra memory is needed and the original signal can be replaced with its WT. The method transforms an image into the wavelet domain using lifting based wavelet filters in the wavelet domain and finally transforms the result into the spatial domain and the fuzzy threshold is used to extract out the Speckle in highest subbands. Experimental Result shows that the resultant enhanced image obtained has a better performance in noise suppression and edge preservation.
Copyright © 2013 Praise Worthy Prize - All rights reserved.

Keywords


Image Denoising; Fuzzy Shrink; Wavelet Domain Denoising; Lifting Scheme; Fuzzy Thresholding

Full Text:

PDF


References


S. Schulte, V.D. Witte, E.E. Kerre, A fuzzy noise reduction method for color images, IEEE Trans. Image Process. 16 (5), 1425–1436 (MAY, 2007).

R. Dugad, N. Ahuja, Video denoising by combining Kalman and Wiener estimates, Proc IEEE Int. Conf. Image Process 4 152–156 (1999).

O. Ojo, T. Kwaaitaal-Spassova, An algorithm for integrated noise reduction and sharpness enhancement, IEEE Trans. Consum. Electron. 46 (5) 474–480 (May 2000).

M. Meguro, A. Taguchi, N. Hamada, Data-dependent weighted median filtering with robust motion information for image sequence restoration, IEICE Trans. Fund. 2 424–428 (2001).

Zlokolica, W. Philips, D. Van De Ville, A new nonlinear filter for video processing, Proc. IEEE Benelux Signal Process. Symp, 2, pp. 221–224 (2002).

S.D. Kim, S.K. Jang, M.J. Kim, J.B. Ra, Efficient block-based coding of noise images by combining pre-filtering and DCT, Proc. IEEE Int. Symp. Circuits Syst., 4, pp. 37–40 (1999).

Y.F. Wong, E. Viscito, E. Linzer, Preprocessing of video signals for MPEG coding by clustering filter, Proc. IEEE Int. Conf. Image Process., 2, pp. 2129–2133 (1995).

C. Vertan, C.I. Vertan, V. Buzuloiu, Reduced computation genetic algorithm for noise removal, Proc. IEEE Conf. Image Process. Applic., 1, pp. 313–316 (July 1997).

W. Ling, P.K.S. Tam, Video denoising using fuzzy-connectedness principles, Proc. Int. Symp. Intell. Multimed., Video, Speech Process. 531–534 (2001).

L. Shutao, W. Yaonan, Z. Changfan, M. Jianxu, Fuzzy filter based on neural network and its applications to image restoration, Proc. IEEE Int. Conf. Signal Process., 2, pp. 1133–1138 (2000).

S. Mallat, A theory for multiresolution signal decomposition: the wavelet representation, IEEE Trans. Pattern Anal. Mach. Intell. 11 (7) 674–693 (July 1989).

D.L. Donoho, I.M. Johnstone, Adapting to unknown smoothness via wavelet shrinkage, J. Amer. Statist. Assoc. 90 (432) 1200–1224 (Dec. 1995).

L. S¸endur, I.W. Selesnick, Bivariate shrinkage with local variance estimation, IEEE Signal Proc. Lett. 9 (12) 438–441 (Dec. 2002).

G.Y. Chen, T.D. Bui, A. Krzyzak, Image denoising with neighbour dependency and customized wavelet and threshold, Pattern Recog. 38 115–124 (2005).

A. Pizurica, W. Philips, Estimating the probability of the presence of a signal of interest in multiresolution single- and multiband image denoising, IEEE Trans. Image Process. 654–665 (2006).

S. Schulte, B. Huysmans, A. Pizurica, E.E. Kerrel, W. Philips, A New Fuzzy-based Wavelet Shrinkage Image Denoising Technique, Springer Verlag, pp. 12–23 (2006).

J. Portilla, V. Strela, M. Wainwright, E. Simoncelli, Image denoising using Gaussian scale mixtures in the wavelet domain, IEEE Trans. Image Process. 1338–1351(2003).

G. Fan, X. Xia, Image denoising using local contextual hidden markov model in the wavelet domain, IEEE Signal Process. Lett. 125–128 (2001).

G. Fan, X. Xia, Improved hidden Markov models in the wavelet domain, IEEE Trans. Signal Process. 115–120 (2001).

I.W. Selesnick, R.G. Baraniuk, N.G. Kingsbury, The dual-tree complex wavelet transform, IEEE Signal Process. Mag. 124–152 (2005).

L. Zhang, P. Bao, Hybrid inter and intra-wavelet scale image restoration, Pattern Recog. 36 1737–1746 (2003).

N.G. Kingsbury, Complex wavelets for shift invariant analysis and filtering of signals, J. Appl. Computat. Harmonic Anal. 10 (3) 234–253 (May 2001).

N.G. Kingsbury, A dual-tree complex wavelet transform with improved orthogonality and symmetry properties, Proc. IEEE Conf. Image Process. 375–378 (2000).

I.W. Selesnick, The design of approximate Hilbert transform pairs of wavelet bases, IEEE Trans. Signal Process. 50 (5) 1144–1152 (2002).

I. Daubechies, W. Sweldens, “Factoring wavelet transforms into lifting steps,” J. Fourier Anal. Appl., 4 (3), pp. 245–267, (1998).

L. Zadeh, Fuzzy Sets, Inform. Contr. 8 (3) 338–353 (1965).

W. Siler, J.J. Buckley, Fuzzy Expert Systems and Fuzzy Reasoning, By ISBN 0-471- 38859-9, John Wiley & Sons, Inc, (2005).

D.L. Donoho, I.M. Johnstone, “De-noising by soft-thresholding,” IEEE Transactions on Information Theory, vol. 41, no. 3, pp. 613–27, (1995).

Wenbing Fan, Zheng Ge and Yao Wang, “Adaptive Wiener Filter Based on Fast Lifting Wavelet Transform for Image Enhancement,” Proceedings of the 7th World Congress on Intelligent Control and Automation June 25 - 27, Chongqing, China (2008).

H.S. Tan. (2001, October). Denoising of Noise Speckle in Radar Image. [Online]. Available:http://innovexpo.itee.uq.edu.au/2001/projects/s804294/thesis.pdf.

V.R. Melnik, V. Lukin, K. Egiazarian, and J. Astola, “A method of speckle removal in one-look SAR images based on Lee filtering and Wavelet denoising,” in Proceedings of the IEEE Nordic Signal Processing Symposium (NORSIG2000), Kolmarden, Sweden, 2000.

M. Misiti, Y. Misiti, G. Oppenheim, and J.M. Poggi. (2001, June). Wavelet Toolbox, for use with MATLAB®, User’s guide, version 2.1. [Online]. Available: http://www.rrz.unihamburg. de/RRZ/Software/Matlab/Dokumentation/help/pdf_doc/wavele t/wavelet_ug.pdf

Kiyak, I., Gökmen, G., Kentli, F., Estimation end effect of single-sided linear induction motor by using discrete wavelet packet transform and artificial neural network, (2011) International Review of Electrical Engineering (IREE), 6 (5), pp. 2277-2285.

Önal, E., Kalenderli, O., Seker, S., De-noising technique based on wavelet decomposition for impulse voltage measurements and noise analysis, (2010) International Review of Electrical Engineering, 5 (4), pp. 1789-1797.

Ma, T.-T., A novel algorithm based on wavelet and parallel neural networks for diagnosing power transformer status, (2010) International Review of Electrical Engineering (IREE), 5 (3), pp. 970-979.


Refbacks

  • There are currently no refbacks.



Please send any question about this web site to info@praiseworthyprize.com
Copyright © 2005-2024 Praise Worthy Prize