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ISSN: 2278 – 1323
                             International Journal of Advanced Research in Computer Engineering & Technology
                                                                                  Volume 1, Issue 5, July 2012


 SALT & PEPPER NOISE REMOVAL USING
    FUZZY BASED ADAPTIVE FILTER
                                                    Jaspreet Kaur
Abstract – This paper is based on a novel of filter which        In this paper, a new kind of adaptive filter is
includes detection and removal of salt & pepper noise           designed for removal of salt & pepper noise.
using fuzzy based adaptive filter. Once the detection
stage detects the noisy pixels, they are passed on to the         II.    FUZZY BASED ADAPTIVE FILTER
next filtering stage. The noise-free pixels are retained
unchanged. Simulation results shows good results.               The proposed work is a recursive filter used to
                                                                remove salt & pepper noise. The detection stage
Index Terms – Adaptive filter, Fuzzy logic, Histogram,
Salt & Pepper Noise.                                            detects the noisy pixels and they are further passed to
                                                                the next filtering stage. The noise-free pixels are
                                                                retained as they are. The noisy pixels with maximum
                                                                intensity (255 or white) is known as salt noise and
                I.     INTRODUCTION                             with minimum intensity (0 or black) is known as
                                                                pepper noise.
Images are corrupted with the noise when they are
transmitted or during image acquisition process.                The detection and filtering stage includes 3x3
Mostly, images are corrupted with an impulsive noise            scanning and merge scanning process and applying
that is, bipolar in nature. This impulsive (bipolar)            the histogram approach. In 3x3 scanning, the
noise is called salt & pepper noise. Salt & Pepper              scanning is performed by comparing the center pixel
noise is a special case of impulsive noise, where a             with the rest of the pixels in a 3x3 matrix of an
certain percentage of individual pixels in digital              image. The algorithm applied for 3x3 scan by
image are randomly digitized into two extreme                   considering centre pixel is
intensities, that is, the maximum and the minimum
intensities [1].                                                p(i,j) = │X(i+k, j+l) – X(i,j)│ with (i+k , j+l) ≠
                                                                (i,j)
The occurrence of salt & pepper noise can severely
damage the information or data embedded in the                  where p(i,j) is the absolute luminance difference,
original image. So, it must be removed before                   X(i,j) is the noisy pixel.
subsequent image processing tasks such as edge
detection or segmentation is carried out [1].                   Little bit of salt & pepper noise is eliminated in this
                                                                process. The noisy pixels after this process are passed
Luo in [2] proposed an efficient detail preserving              on to the next filtering stage called merge scanning.
approach (EDPA) based on alpha-trimmed mean                     In merge scanning process, a median is computed by
statistical estimator. Also, an efficient edge                  taking four pixels of 3x3 matrix of an image and
preserving algorithm (EEPA) [3] was introduced for              comparing it with the rest of the pixels. The
the removal of salt & pepper noise without degrading            algorithm applied for merge scanning is
fine image details. Then, Chen and Wu [4] proposed
the adaptive impulse detector with center-weighted              f(i,j) = │p(i,j) – m(i,j)│/ th
median (ACWN)filter to remove effectively salt &
pepper noise. These methods only perform well when              where f(i,j) is the merge scanning, p(i,j) is the
an image is corrupted with 50% salt & pepper noise              absolute luminance difference, m(i,j) is the mean of
or lower. The decision based algorithm [5] filter and           the four pixels that are compared with the rest of the
open-close sequence filter (OCS) based on                       pixels, th is the threshold used for the scanning
mathematical morphology [6] and noise adaptive                  process.
fuzzy switching median filter [7] are able to filter
high density of salt & pepper noise corruption, but at          However, after merge scanning much of the salt &
the expense of fine image details or high                       pepper noise gets eliminated but the image details,
computational time.                                             that is edges and texture are not so finely preserved.

                                                                                                                    24
                                           All Rights Reserved © 2012 IJARCET
ISSN: 2278 – 1323
                                     International Journal of Advanced Research in Computer Engineering & Technology
                                                                                          Volume 1, Issue 5, July 2012

For this, histogram approach is applied in order to
preserve the image details well.

 III.             SIMULATION AND RESULTS

Simulation results were performed to calculate better
PSNR (dB) and time (ms). This proposed work is
performed on ten standard test images, that is,
(Baboon, Boat, Cameraman, Goldhill, Lake, Lena,                          95% Noise Added               3x3 Scanning
Lighthouse, Parrot, Pepper, and Plane). The results
were calculated from 5% noise to 95% noise.

Below shows Lena image corrupted with 5% and
95% salt & pepper noise and after the filtering
process:




                                                                           Merge Scanning                    Histogram Method

5% Noise Added                 3x3 Scanning
                                                                                900

                                                                                800

                                                                                700

                                                                                600

                                                                                500

                                                                                400

                                                                                300

                                                                                200

                                                                                100

                                                                                 0

    Merge Scan                     Histogram Method                                   0      50        100      150    200      250




        900                                                                                       Histogram (95%)
        800

        700

        600

        500
                                                                         The results of the Lena image shows that the salt &
        400
                                                                         pepper noise is removed and the image details are
                                                                         very well preserved. There is no blurring of the
        300
                                                                         image.
        200

        100
                                                                          IV.             CONCLUSION
         0

              0      50      100       150    200        250             The proposed paper “Salt & Pepper Noise Removal
                                                                         Using Fuzzy Based Adaptive Filter” is able to
                                                                         remove salt & pepper noise, at the same time
                          Histogram (5%)                                 preserving the image details, edges and textures very
                                                                         well. The proposed filter does not require any further
                                                                         tuning, once it is optimized.


                                                                                                                                      25
                                                    All Rights Reserved © 2012 IJARCET
ISSN: 2278 – 1323
                             International Journal of Advanced Research in Computer Engineering & Technology
                                                                                  Volume 1, Issue 5, July 2012

REFERENCES

[1] Kenny Kal Vin Toh, Haidi Ibrahim, Muhammad
Nasiruddin Mahyuddin, “Salt & Pepper Noise
Detection and Reduction Using Fuzzy Switching
Median Filter”, IEEE Trans. On Consumer
Electronics, vol. 54, no. 4 November 2008.

[2] Wenbin Luo, “An Efficient Detail-Preserving
Approach for Removing Impulse Noise in
Images” IEEE Signal Processing Lett., vol. 13, no. 7
July 2006.

[3] Pei-Yin Chen, Chih-Yuan Lien, “An Efficient
Edge-Preserving Algorithm for Removal of Salt-and-
Pepper Noise”, IEEE Signal Processing Letters, vol.
15, 2008.

[4] Tao Chen, Kai-Kuang Ma, Li-Hui Chen, “Tri-
State Median Filter for Image Denoising”, IEEE
Trans. On Image Processing, vol. 8, no. 12 December
1999.

[5] K. S. Srinivasan, D. Ebenezer, “A New Fast and
Efficient    Decision      Based      Algorithm     for
Removal of High-Density Impulse Noises”, IEEE
Signal Processing Letters, vol. 14, no. 3, March 2007.

[6] Z. F. Deng, Z. P. Yin, and Y. L. Xiong, “High
probability impulse noise-removing algorithm based
on mathematical morphology,” IEEE Signal Process.
Lett., vol. 14, no. 1, pp. 31–34, Jan. 2007.
[7] Kenny Kal Toh, Nor Ashidi Mat Isa, “Noise
Adaptive Fuzzy Switching Median Filter for
Salt & Pepper Noise Reduction”, IEEE Signal
Processing Lett., Vol. 17, no. 3 March 2010.

Jaspreet Kaur, Master of Engineering in Electronics
& Communication Engineering 2nd Year, University
Institute of Engineering & Technology, Panjab
University, Chnadigarh.




                                                                                                           26
                                           All Rights Reserved © 2012 IJARCET

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  • 1. ISSN: 2278 – 1323 International Journal of Advanced Research in Computer Engineering & Technology Volume 1, Issue 5, July 2012 SALT & PEPPER NOISE REMOVAL USING FUZZY BASED ADAPTIVE FILTER Jaspreet Kaur Abstract – This paper is based on a novel of filter which In this paper, a new kind of adaptive filter is includes detection and removal of salt & pepper noise designed for removal of salt & pepper noise. using fuzzy based adaptive filter. Once the detection stage detects the noisy pixels, they are passed on to the II. FUZZY BASED ADAPTIVE FILTER next filtering stage. The noise-free pixels are retained unchanged. Simulation results shows good results. The proposed work is a recursive filter used to remove salt & pepper noise. The detection stage Index Terms – Adaptive filter, Fuzzy logic, Histogram, Salt & Pepper Noise. detects the noisy pixels and they are further passed to the next filtering stage. The noise-free pixels are retained as they are. The noisy pixels with maximum intensity (255 or white) is known as salt noise and I. INTRODUCTION with minimum intensity (0 or black) is known as pepper noise. Images are corrupted with the noise when they are transmitted or during image acquisition process. The detection and filtering stage includes 3x3 Mostly, images are corrupted with an impulsive noise scanning and merge scanning process and applying that is, bipolar in nature. This impulsive (bipolar) the histogram approach. In 3x3 scanning, the noise is called salt & pepper noise. Salt & Pepper scanning is performed by comparing the center pixel noise is a special case of impulsive noise, where a with the rest of the pixels in a 3x3 matrix of an certain percentage of individual pixels in digital image. The algorithm applied for 3x3 scan by image are randomly digitized into two extreme considering centre pixel is intensities, that is, the maximum and the minimum intensities [1]. p(i,j) = │X(i+k, j+l) – X(i,j)│ with (i+k , j+l) ≠ (i,j) The occurrence of salt & pepper noise can severely damage the information or data embedded in the where p(i,j) is the absolute luminance difference, original image. So, it must be removed before X(i,j) is the noisy pixel. subsequent image processing tasks such as edge detection or segmentation is carried out [1]. Little bit of salt & pepper noise is eliminated in this process. The noisy pixels after this process are passed Luo in [2] proposed an efficient detail preserving on to the next filtering stage called merge scanning. approach (EDPA) based on alpha-trimmed mean In merge scanning process, a median is computed by statistical estimator. Also, an efficient edge taking four pixels of 3x3 matrix of an image and preserving algorithm (EEPA) [3] was introduced for comparing it with the rest of the pixels. The the removal of salt & pepper noise without degrading algorithm applied for merge scanning is fine image details. Then, Chen and Wu [4] proposed the adaptive impulse detector with center-weighted f(i,j) = │p(i,j) – m(i,j)│/ th median (ACWN)filter to remove effectively salt & pepper noise. These methods only perform well when where f(i,j) is the merge scanning, p(i,j) is the an image is corrupted with 50% salt & pepper noise absolute luminance difference, m(i,j) is the mean of or lower. The decision based algorithm [5] filter and the four pixels that are compared with the rest of the open-close sequence filter (OCS) based on pixels, th is the threshold used for the scanning mathematical morphology [6] and noise adaptive process. fuzzy switching median filter [7] are able to filter high density of salt & pepper noise corruption, but at However, after merge scanning much of the salt & the expense of fine image details or high pepper noise gets eliminated but the image details, computational time. that is edges and texture are not so finely preserved. 24 All Rights Reserved © 2012 IJARCET
  • 2. ISSN: 2278 – 1323 International Journal of Advanced Research in Computer Engineering & Technology Volume 1, Issue 5, July 2012 For this, histogram approach is applied in order to preserve the image details well. III. SIMULATION AND RESULTS Simulation results were performed to calculate better PSNR (dB) and time (ms). This proposed work is performed on ten standard test images, that is, (Baboon, Boat, Cameraman, Goldhill, Lake, Lena, 95% Noise Added 3x3 Scanning Lighthouse, Parrot, Pepper, and Plane). The results were calculated from 5% noise to 95% noise. Below shows Lena image corrupted with 5% and 95% salt & pepper noise and after the filtering process: Merge Scanning Histogram Method 5% Noise Added 3x3 Scanning 900 800 700 600 500 400 300 200 100 0 Merge Scan Histogram Method 0 50 100 150 200 250 900 Histogram (95%) 800 700 600 500 The results of the Lena image shows that the salt & 400 pepper noise is removed and the image details are very well preserved. There is no blurring of the 300 image. 200 100 IV. CONCLUSION 0 0 50 100 150 200 250 The proposed paper “Salt & Pepper Noise Removal Using Fuzzy Based Adaptive Filter” is able to remove salt & pepper noise, at the same time Histogram (5%) preserving the image details, edges and textures very well. The proposed filter does not require any further tuning, once it is optimized. 25 All Rights Reserved © 2012 IJARCET
  • 3. ISSN: 2278 – 1323 International Journal of Advanced Research in Computer Engineering & Technology Volume 1, Issue 5, July 2012 REFERENCES [1] Kenny Kal Vin Toh, Haidi Ibrahim, Muhammad Nasiruddin Mahyuddin, “Salt & Pepper Noise Detection and Reduction Using Fuzzy Switching Median Filter”, IEEE Trans. On Consumer Electronics, vol. 54, no. 4 November 2008. [2] Wenbin Luo, “An Efficient Detail-Preserving Approach for Removing Impulse Noise in Images” IEEE Signal Processing Lett., vol. 13, no. 7 July 2006. [3] Pei-Yin Chen, Chih-Yuan Lien, “An Efficient Edge-Preserving Algorithm for Removal of Salt-and- Pepper Noise”, IEEE Signal Processing Letters, vol. 15, 2008. [4] Tao Chen, Kai-Kuang Ma, Li-Hui Chen, “Tri- State Median Filter for Image Denoising”, IEEE Trans. On Image Processing, vol. 8, no. 12 December 1999. [5] K. S. Srinivasan, D. Ebenezer, “A New Fast and Efficient Decision Based Algorithm for Removal of High-Density Impulse Noises”, IEEE Signal Processing Letters, vol. 14, no. 3, March 2007. [6] Z. F. Deng, Z. P. Yin, and Y. L. Xiong, “High probability impulse noise-removing algorithm based on mathematical morphology,” IEEE Signal Process. Lett., vol. 14, no. 1, pp. 31–34, Jan. 2007. [7] Kenny Kal Toh, Nor Ashidi Mat Isa, “Noise Adaptive Fuzzy Switching Median Filter for Salt & Pepper Noise Reduction”, IEEE Signal Processing Lett., Vol. 17, no. 3 March 2010. Jaspreet Kaur, Master of Engineering in Electronics & Communication Engineering 2nd Year, University Institute of Engineering & Technology, Panjab University, Chnadigarh. 26 All Rights Reserved © 2012 IJARCET