CFP last date
20 December 2024
Reseach Article

Wavelet Domain Shrinkage Methods for Noise Removal in Images: A Compendium

by E.Jebamalar Leavline, S.Sutha, D.Asir Antony Gnana
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 33 - Number 10
Year of Publication: 2011
Authors: E.Jebamalar Leavline, S.Sutha, D.Asir Antony Gnana
10.5120/4058-5842

E.Jebamalar Leavline, S.Sutha, D.Asir Antony Gnana . Wavelet Domain Shrinkage Methods for Noise Removal in Images: A Compendium. International Journal of Computer Applications. 33, 10 ( November 2011), 28-32. DOI=10.5120/4058-5842

@article{ 10.5120/4058-5842,
author = { E.Jebamalar Leavline, S.Sutha, D.Asir Antony Gnana },
title = { Wavelet Domain Shrinkage Methods for Noise Removal in Images: A Compendium },
journal = { International Journal of Computer Applications },
issue_date = { November 2011 },
volume = { 33 },
number = { 10 },
month = { November },
year = { 2011 },
issn = { 0975-8887 },
pages = { 28-32 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume33/number10/4058-5842/ },
doi = { 10.5120/4058-5842 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:19:52.090831+05:30
%A E.Jebamalar Leavline
%A S.Sutha
%A D.Asir Antony Gnana
%T Wavelet Domain Shrinkage Methods for Noise Removal in Images: A Compendium
%J International Journal of Computer Applications
%@ 0975-8887
%V 33
%N 10
%P 28-32
%D 2011
%I Foundation of Computer Science (FCS), NY, USA
Abstract

This paper presents an overview of various threshold methods for image denoising. Wavelet transform based denoising techniques are of greater interest because of their performance over Fourier and other spatial domain techniques. Selection of optimal threshold is crucial since threshold value governs the performance of denoising algorithms. Hence it is required to tune the threshold parameter for better PSNR values. In this paper, we present various wavelet based shrinkage methods for optimal threshold selection for noise removal.

References
  1. Anil K.Jain 2003, “Fundamentals of Digital Image Processing” PHI
  2. Boggess & Narcowich, 2002, “A First Course in Wavelets with Fourier Analysis”, Prentice Hall
  3. David L. Donoho 1993 “De-Noising by Soft Thresholding”, IEEE Trans. Info. Theory 43, pp. 933-936.
  4. David L. Donoho, Iain M. Johnstone, Gérard Kerkyacharian, Dominique Picard 1993 "Wavelet Shrinkage: Asymptopia".
  5. D. L. Donoho and I. M. Johnstone 1994, “Ideal spatial adaptation by wavelet shrinkage,” Biometrika, vol. 81, no. 3, pp. 425–455.
  6. David L. Donoho and Iain M. Johnstone 1995,”Adapting to Unknown Smoothness via Wavelet Shrinkage”, Journal of the American Statistical Association Vol. 90, No. 432 pp. 1200-1224.
  7. Fengxia Yan, Lizhi Cheng, and Silong Peng 2008, “A New Interscale and Intrascale Orthonormal Wavelet Thresholding for SURE-Based Image Denoising”, IEEE Signal Processing Letters, Vol. 15.
  8. Florian Luisier, Thierry Blu, and Michael Unser (June 2010), “SURE-LET for Orthonormal Wavelet-Domain Video Denoising”, IEEE Transactions On Circuits And Systems For Video Technology, Vol. 20, No. 6.
  9. S.Grace Chang, Bin Yu, Martin Vetterli 2000, “Adaptive wavelet thresholding for denoising and compression”, IEEE Trans. On Image processing, Vol.9, No.9, PP. 1532-1546.
  10. Hamed Pirsiavash, Shohreh Kasaei, and Farrokh Marvasti, 2005, “An Efficient Parameter Selection Criterion for Image Denoising”, IEEE International Symposium on Signal Processing and Information Technology.
  11. 11 Iman Elyasi, and Sadegh Zarmehi 2009,” Elimination Noise by Adaptive Wavelet Threshold” World Academy of Science, Engineering and Technology.
  12. 12 Lakhwinder Kaur, Savita Gupta and R.C. Chauhan, “Image Denoising using Wavelet Thresholding”.
  13. Levent Sendur, Ivan W. Selesnick 2002,”Bivariate Shrinkage Functions for Wavelet-Based Denoising Exploiting Interscale Dependency” IEEE Transactions On Signal Processing, Vol. 50, No. 11.
  14. Leavline, E.J.; Sutha, S 2011, “Gaussian noise removal in gray scale images using fast Multiscale Directional Filter Banks”, IEEE International Conference on Recent Trends in Information Technology (ICRTIT-2011) pp 884 - 889
  15. Loupas, T.; McDicken, W.N.; Allan, P.L.( Jan 1989), “An adaptive weighted median filter for speckle suppression in medical ultrasonic images”, IEEE Transactions on Circuits and SystemsVolume: 36 Issue:1 pp 129 – 135
  16. 16 Martin Raphan, and Eero P. Simoncelli (August 2008), “Optimal Denoising in Redundant Representations” IEEE Transactions On Image Processing, Vol. 17, No. 8.
  17. Rafael C.Gonzalez, Richard E.Woods 2002, “Digital Image Processing”, Second Edition, Pearson Education Asia.
  18. Ramin Eslami and Hayder Radha 2003,“The Contourlet Transform for Image De-noising Using Cycle Spinning”, IEEE Trans. Image Processing pp. 1982-1986.
  19. Rao R M and A S Bopardikar 2000, “Wavelet Transforms Introduction to theory and Applications”, Pearson Education, Asia.
  20. Saeed V. Vaseghi 2000, “Advanced Digital Signal Processing and Noise Reduction,”, John Wiley & Sons Ltd.
  21. Sardy, S 2000, “Minimax Threshold for Denoising Complex Signals with Waveshrink”, IEEE Transactions On Signal Processing, , VOL 48; PART 4, pages 1023-1028
  22. Shan GAI, Peng LIU, Jiafeng LIU, Xianglong TANG, (2010) “A New Image Denoising Algorithm via Bivariate Shrinkage Based on Quaternion Wavelet Transform” , Journal of Computational Information Systems 6:11 3751-3760
  23. S.Sudha, G.R.Suresh, R.Sukanesh 2007, “Wavelet based Image denoising using adaptive thresholding”, International conference on Computational Intelligence and Multimedia Applications, PP. 296-300.
  24. Tony F. Chan, Jianhong
  25. Jackie shen 2005 , “Image Processing and Analysis,”, Society for Industrial and Applied Mathematics, Philadelphia.
  26. Vetterli M Kovacevic J 1995, “Wavelets and Sub band Coding”, Prentice Hall.
  27. Wei Li; Yanxia Sun; Shengjian Chen 2009, “A New Algorithm for Removal of High-Density Salt and Pepper Noises”, IEEE 2nd International Congress on Image and Signal Processing.pp.1-4.
Index Terms

Computer Science
Information Sciences

Keywords

Denoising Spatial domain methods Wavelet shrinkage Optimal threshold selection