Browse > Article
http://dx.doi.org/10.3837/tiis.2015.08.010

Modified Adaptive Gaussian Filter for Removal of Salt and Pepper Noise  

Li, Zuoyong (Department of Computer Science, Minjiang University)
Tang, Kezong (School of Information Engineering, Jingdezhen Ceramic Institute)
Cheng, Yong (School of Communication Engineering, Nanjing Institute of Technology)
Chen, Xiaobo (Automotive Engineering Research Institute, Jiangsu University)
Zhou, Chongbo (School of Physics and Engineering, Qufu Normal University)
Publication Information
KSII Transactions on Internet and Information Systems (TIIS) / v.9, no.8, 2015 , pp. 2928-2947 More about this Journal
Abstract
Adaptive Gaussian filter (AGF) is a recently developed switching filter to remove salt and pepper noise. AGF first directly identifies pixels of gray levels 0 and 255 as noise pixels, and then only restored noise pixels using a Gaussian filter with adaptive variance based on the estimated noise density. AGF usually achieves better denoising effect in comparison with other filters. However, AGF still fails to obtain good denoising effect on images with noise-free pixels of gray levels 0 and 255, due to its severe false alarm in its noise detection stage. To alleviate this issue, a modified version of AGF is proposed in this paper. Specifically, the proposed filter first performs noise detection via an image block based noise density estimation and sequential noise density guided rectification on the noise detection result of AGF. Then, a modified Gaussian filter with adaptive variance and window size is used to restore the detected noise pixels. The proposed filter has been extensively evaluated on two representative grayscale images and the Berkeley image dataset BSDS300 with 300 images. Experimental results showed that the proposed filter achieved better denoising effect over the state-of-the-art filters, especially on images with noise-free pixels of gray levels 0 and 255.
Keywords
Gaussian filter; Salt and pepper noise; Image thresholding; Image denoising;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Z. Wang, A. C. Bovik, H. R. Sheikh and E. P. Simoncelli, “Image quality assessment: from error visibility to structural similarity,” IEEE Transactions on Image Processing, vol. 13, no. 4, pp. 600-612, April, 2004. Article (CrossRef Link)   DOI
2 C. Qin, S. Wang, X. P. Zhang, “Simultaneous inpainting for image structure and texture using anisotropic heat transfer model,” Multimedia Tools and Applications, vol. 56, no. 3, pp. 469-483, February, 2012. Article (CrossRef Link)   DOI
3 A. Hyvärinen, J. Hurri and P.O. Hoyer, Natural image statistics: a probabilistic approach to early computational vision, Springer, New York, 2009. Article (CrossRef Link)
4 C. Qin, F. Cao and X. P. Zhang, “Efficient image inpainting using adaptive edge-preserving propagation,” The Imaging Science Journal, vol. 59, no. 4, pp. 211-218, August, 2011. Article (CrossRef Link)   DOI
5 E. P. Simoncelli and B. A. Olshausen, “Natural image statistics and neural representation,” Annual Review of Neuroscience, vol. 24, no. 1, pp. 1193-1216, March, 2001. Article (CrossRef Link)   DOI
6 A. Torralba and A. Oliva, “Statistics of natural image categories,” Network: Computation in Neural System, vol. 14, no. 3, pp. 391-412, May, 2003. Article (CrossRef Link)   DOI
7 R. O. Duda, P. E. Hart and D. G. Stork, Pattern classification, Wiley, New York, 2001. Article (CrossRef Link)
8 T. Lindeberg, Scale-space theory in computer vision, Springer, Berlin, 1994. Article (CrossRef Link)
9 R. C. Gonzalez, R. E. Woods, Digital image processing (2nd edition), Prentice Hall, New York, 2002. Article (CrossRef Link)
10 J. Portilla, V. Strela, M.J. Wainwright and E.P. Simoncelli, “Image denoising using scale mixtures of Gaussians in the wavelet domain,” IEEE Transactions on Image Processing, vol. 12, no. 11, pp. 1338-1351, November, 2003. Article (CrossRef Link)   DOI
11 N. I. Petrović and V. Crnojević, “Universal impulse noise filter based on genetic programming,” IEEE Transactions on Image Processing, vol. 17, no. 7, pp. 1109-1120, July, 2008. Article (CrossRef Link)   DOI
12 S. Esakkirajan, T. Veerakumar, A. N. Subramanyam and C. H. PremChand, “Removal of high density salt and pepper noise through modified decision based unsymmetric trimmed median filte,” IEEE Signal Processing Letters, vol. 18, no. 5, pp. 287-290, May, 2011. Article (CrossRef Link)   DOI
13 H. H. Chou and L. Y. Hsu, “A noise-ranking switching filter for images with general fixed-value impulse noises,” Signal Processing, vol. 106, pp. 198-208, January, 2015. Article (CrossRef Link)   DOI
14 F. Ahmed and S. Das, “Removal of high-density salt-and-pepper noise in images with an iterative adaptive fuzzy filter using alpha-trimmed mean,” IEEE Transactions on Fuzzy Systems, vol. 22, no. 5, pp. 1352-1358, October, 2014. Article (CrossRef Link)   DOI
15 P. Y. Chen and C. Y. Lien, "An efficient edge-preserving algorithm for removal of salt-and-pepper noise," IEEE Signal Processing Letters, vol. 15, pp. 833-836, December, 2008. Article (CrossRef Link)   DOI
16 Z. M. Ramadan, "Efficient restoration method for images corrupted with impulse noise," Circuits System and Signal Processing, vol. 31, no. 4, pp. 1397-1406, August, 2012. Article (CrossRef Link)   DOI
17 A. Bovik, Handbook of Image and Video Processing, New York: Academic, 2000. Article (CrossRef Link)
18 Y. Liu, C. Zuo and X. Tan, “A kalman filter based video denoising method using intensity and structure tensor,” KSII Transactions on Internet and Information Systems, vol. 8, no. 8, pp. 2866-2880, August, 2014. Article (CrossRef Link)   DOI
19 T. S. Huang, G. J. Yang and G. Y. Tang, “Fast two-dimensional median filtering algorithm,” IEEE Transactions on Acoustics Speech and Signal Processing, vol. 1, no. 1, pp. 13-18, February, 1979. Article (CrossRef Link)   DOI
20 Z. Li, G. Liu, Y. Xu and Y. Cheng, “Modified directional weighted filter for removal of salt & pepper noise,” Pattern Recognition Letters, vol. 40, no. 1, pp. 113-120, April, 2014. Article (CrossRef Link)   DOI
21 M. Bertalmio, G. Sapiro, V. Caselles and C. Ballester, "Image inpainting," in Proc. of the ACM SIGGRAPH Conf.on Computer Graphics, July 23-28, pp. 417-424, 2000. Article (CrossRef Link)
22 S. C. Hsia and C. L. Chen, "A fast efficient restoration algorithm for high-noise image filtering with adaptive approach," Journal of Visual Communication and Image Representation, vol. 16, no. 3, pp. 379-392, June, 2005. Article (CrossRef Link)   DOI
23 R. H. Chan, C. W. Ho and M. Nikolova, “Salt and pepper noise removal by median type noise detectors and detail-preserving regularization,” IEEE Transactions on Image Processing, vol. 14, no. 10, pp. 1479-1485, October, 2005. Article (CrossRef Link)   DOI
24 C. H. Lin, J. S. Tsai and C. T. Chiu, “Switching bilateral filter with a texture/noise detector for universal noise removal,” IEEE Transactions on Image Processing, vol. 19, no. 9, pp. 2307-2320, September, 2010. Article (CrossRef Link)   DOI
25 K. K. V. Toh and N. A. M. Isa, “Noise adaptive fuzzy switching median filter for salt-and-pepper noise reduction,” IEEE Signal Processing Letters, vol. 17, no. 3, pp. 281-284, March, 2010. Article (CrossRef Link)   DOI
26 H. X. Xu, G. X. Zhu and H. Y. Peng, "Adaptive fuzzy switching filter for images corrupted by impulse noise," Pattern Recognition Letters, vol. 25, no. 15, pp. 1657-1663, November, 2004. Article (CrossRef Link)   DOI
27 X. Zhang and Y. Xiong, “Impulse noise removal using directional difference based noise detector and adaptive weighted mean filter,” IEEE Signal Processing Letters, vol. 16, no. 4, pp. 295-298, April, 2009. Article (CrossRef Link)   DOI
28 P. E. Ng and K. K. Ma, “A switching median filter with boundary discriminative noise detection for extremely corrupted images,” IEEE Transactions on Image Processing, vol. 15, no. 6, pp. 1506-1516, June, 2006. Article (CrossRef Link)   DOI
29 M. Nasri, S. Saryazdi and H. Nezamabadi-pour, “A fast adaptive salt and pepper noise reduction method in images,” Circuits System and Signal Processing, vol. 32, no. 4, pp. 1839-1857, August, 2013. Article (CrossRef Link)   DOI
30 V. S. Bhadouria, D. Ghoshal, A. H. Siddiqi, “A new approach for high density saturated impulse noise removal using decision-based coupled window median filter,” Signal, Image and Video Processing, vol. 8, no. 1, pp. 71-84, January, 2014. Article (CrossRef Link)   DOI
31 Y. Dong and S. Xu, “A new directional weighted median filter for removal of random-valued impulse noise,” IEEE Signal Processing Letters, vol. 14, no. 3, pp. 193-196, March, 2007. Article (CrossRef Link)   DOI
32 C. T. Lu and T. C. Chou, “Denoising of salt-and-pepper noise corrupted image using modified directional-weighted-median filter,” Pattern Recognition Letters, vol. 33, no. 10, pp. 1287-1295, July, 2012. Article (CrossRef Link)   DOI