CFP last date
20 May 2024
Reseach Article

Image Denoising using Patch based Processing with Fuzzy Gaussian Membership Function

by Krishan Kundu
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 118 - Number 12
Year of Publication: 2015
Authors: Krishan Kundu
10.5120/20799-3474

Krishan Kundu . Image Denoising using Patch based Processing with Fuzzy Gaussian Membership Function. International Journal of Computer Applications. 118, 12 ( May 2015), 35-40. DOI=10.5120/20799-3474

@article{ 10.5120/20799-3474,
author = { Krishan Kundu },
title = { Image Denoising using Patch based Processing with Fuzzy Gaussian Membership Function },
journal = { International Journal of Computer Applications },
issue_date = { May 2015 },
volume = { 118 },
number = { 12 },
month = { May },
year = { 2015 },
issn = { 0975-8887 },
pages = { 35-40 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume118/number12/20799-3474/ },
doi = { 10.5120/20799-3474 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:01:31.682399+05:30
%A Krishan Kundu
%T Image Denoising using Patch based Processing with Fuzzy Gaussian Membership Function
%J International Journal of Computer Applications
%@ 0975-8887
%V 118
%N 12
%P 35-40
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper image denoising scheme based on fuzzy Gaussian membership function. For a given corrupted image at first converted to the fuzzy values using the fuzzification method. Then extract all patches with overlaps, after extracting all patches each patch is to be permuted and apply the fuzzy Gaussian membership function. Extraction means all patches with overlaps, refer to these as coordinates in high-dimensional space, and arrange them such that they are chained in the shortest possible path. The obtained ordering, applying the fuzzy defuzzification method to convert fuzzy values to the crisp values to what should be a normal signal. This enables us to get high-quality recovery of the clean image by applying relatively simple one-dimensional smoothing operations to the reordered set of pixels. The performance of this approach is experimentally verified on a diversity of images and noise levels. The results presented here demonstrate that proposed technique is on similarity or more than the existing state of the art, in terms of both peak signal-to-noise ratio and subjective visual quality.

References
  1. Buades, B. Coll, and J. M. Morel, "A review of image denoising algorithms, with a new one," Multiscale Model. Simul. , vol. 4, no. 2, pp. 490–530, 2006.
  2. P. Chatterjee and P. Milanfar, "Clustering-based denoising with locally learned dictionaries," IEEE Trans. Image Process. , vol. 18, no. 7, pp. 1438–1451, Jul. 2009.
  3. G. Yu, G. Sapiro, and S. Mallat, "Image modeling and enhancement via structured sparse model selection," in Proc. 17th IEEE Int. Conf. Image Process. , Sep. 2010, pp. 1641–1644.
  4. G. Yu, G. Sapiro, and S. Mallat, "Solving inverse problems with piecewise linear estimators: From Gaussian mixture models to structured sparsity," IEEE Trans. Image Process. , vol. 21, no. 5, pp. 2481–2499,May 2012.
  5. W. Dong, X. Li, L. Zhang, and G. Shi, "Sparsity-based image denoising via dictionary learning and structural clustering," in Proc. IEEE Conf. Comput. Vis. Pattern Recognit. , Jun. 2011, pp. 457–464.
  6. D. Zoran and Y. Weiss, "From learning models of natural image patches to whole image restoration," in Proc. IEEE Int. Conf. Comput. Vis. , Nov. 2011, pp. 479–486.
  7. K. Dabov, A. Foi, V. Katkovnik, and K. Egiazarian, "Image denoising by sparse 3-D transform-domain collaborative filtering," IEEE Trans. Image Process. , vol. 16, no. 8, pp. 2080–2095, Aug. 2007.
  8. D. Van De Ville, M. Nachtegael, D. Van der Weken, W. Philips, I. Lemahieu, and E. E. Kerre, A new fuzzy filter for Gaussian noise reduction,? in Proc. SPIE Vis. Commun. Image Process. , 2001, pp. 1–9.
  9. S. Schulte, V. D. Witte and E. E. Kerre, "A Fuzzy Noise Reduction Method for Color Images," IEEE Transactions on Image Processing, Vol. 16, No. 5, pp. 1425–1436, 2007.
  10. Jamal Saeedi, Mohammad Hassan Moradi, Ali Abedi, "Image Denoising Based on Fuzzy and Intra-scale Dependency in Wavelet Transform Domain", ICPR, 2010, 2010 20th International Conference on Pattern Recognition (ICPR 2010).
  11. Idan Ram, Michael Elad, Fellow, IEEE, and Israel Cohen, "Image Processing Using Smooth Ordering of its Patches", IEEE Trans. Image Processing, vol. 22, no. 7, pp. 2764-2774, 2013.
  12. Raefal c. Gonzalez, Richard E. Woods, Digital Image Processing, 2nd Ed. , Pearson Education, 2002, pp. 147-163.
  13. T. H. Cormen, Introduction to Algorithms. Cambridge, MA, USA: MIT Press, 2001.
  14. G. J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic, Prentice Hall, Upper Saddle River, New Jersey, 1995.
Index Terms

Computer Science
Information Sciences

Keywords

Patch-based processing fuzzification defuzzification gaussian membership function traveling salesman pixel permutation denoising.