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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 413
A COMPREHENSIVE METHOD FOR IMAGE CONTRAST
ENHANCEMENT BASED ON GLOBAL –LOCAL CONTRAST AND
LOCAL STANDARD DEVIATION
Archana Singh1
, Neeraj Kumar2
1
Assistant Professor, Ch. Beeri Singh College of Engg & Management, Agra, India
2
Software Developer, Technology9Labs, New Delhi, India
Abstract
Image contrast enhancement is used to increase the detailed visibility of an image by performing some transformation on input
image. Global contrast enhancement and local contrast enhancement both are the very popular method for contrast enhancement.
But these two methods are also not sufficient in order to enhance an image when image has some constant area and it is not
possible to perform any kind of transformation to neighbor hooding pixels of the central pixel. Due to that some information may
be lost. This paper proposed a method to remove the divided by zero condition, arises due to the local standard deviation of that
constant area in order to enhance an image. This method enhances an image without any loss in detailed visibility of an image.
Keywords - contrast enhancement, local contrast enhancement, global contrast enhancement, local standard deviation
-------------------------------------------------------------------***-------------------------------------------------------------------
1. INTRODUCTION
The first task of digital image processing is image contrast
enhancement. It is done by applying some transformation
function for the removal of noise and amplification of the
detail that is present in image. Producing image with good
contrast and quality is well suitable for biomedical image
analysis, fault detection, robotics etc. Contrast enhancement
taught to eliminate the problem like unnatural contrast
present in the image or image may not reveal all the
information present in the captured image. Different
methods have already been developed for contrast
enhancement [5-6].
Linear stretching and histogram equalization are two widely
used methods for global contrast enhancement [12]. These
methods are based on the global information of the image.
Linear stretching is done by stretching the gray values of
input image linearly as shown in fig.1. The formal linear
stretching adjusts an image’s dynamic range and the latter
uses the input mapping relation obtained from the integral of
the image histogram [3].
Input Gray level
Fig. 1 Linear Transformation
Histogram equalization is one of the most promising
techniques for image contrast enhancement. It redistributes
the gray level of the image according to the probability
distribution of the input gray level [4] as shown in fig.2 and
fig.3. This method works well with smaller images or
images having different intensity levels. Global histogram
equalization and local histogram equalization both comes
under the categories of histogram equalization.
Global Histogram Equalization [GHE] is another method for
global enhancement. It is very effective and appropriate
enhancement method for some images [13].
Input Gray level
Fig. 2 Histogram Equalization before enhancement
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 414
Fig. 3 Histogram Equalization after enhancement
This method has the undesired effect of over emphasizing
noise as the gray levels with high frequency rules over the
gray levels with low frequency. This method works with the
image globally and do not take local details into account. It
uses its transformation function to enhance an image based
on the histogram input of entire image.
Local histogram equalization is the extension of global
histogram equalization [1]. This method is based on block
processing. A small sized window is selected from the
image for enhancement. This window slides through every
pixel of the image in order to enhance that image as shown
in fig.4. Only those pixels are considered that fall in this
window and enhancement is performed only for the center
pixel of that window. Unlike global contrast enhancement
this method includes local information of the image.
Fig. 4 Local histogram equalization
2. REVIEW ON LSD BASED METHOD
Contrast of an image depends upon the local standard
deviation [LSD] of the luminance present at the local image
area.
Kotkar-Gharde [7] proposed two methods global and local
enhancement using Local Feature Enhancement [LFE] and
Bidirectional Smooth Histogram Stretching [BSHS] to
enhance an input image. LFE is used to search local features
of image and BSHS is used to get bidirectional smooth
histogram stretching. Then result is combined to get
weighted of local and bidirectional smooth histogram
stretching and local enhancement on input image.
Marco et. cl. [2] introduced an algorithm based on local
contrast enhancement. This algorithm focuses on locally
enhancing contrast in under exposed image regions using a
background-based approach.
Mukhopadhyay and Chandra [8] proposed a method that
was based on multiscale morphology for local enhancement
of gray level of input image. This method emphasizes
nonlinear enhancement of region that comes into account,
extracted from the image based on its shape, size, scale, etc.
Zhen and Wang [14] introduced a piecewise linear function
model for emphasizing the luminance contrast at every local
area using its LSD. Adaptive contrast enhancement [ACE] is
another method for contrast enhancement based on local
standard deviation. ACE is the well known technique in
medical image processing based on the contrast gain to
adjust the high frequency component of images.
Narendra and Fitch [9] introduced a method in that the
contrast gain is inversely proportional to the local standard
deviation. In this method the transformation function is
based on the local gray level information of the input image.
𝑓 𝑖, 𝑗 = 𝑚 𝑥 𝑖, 𝑗 +
𝐷
𝜎 𝑥 𝑖,𝑗
𝑥 𝑖, 𝑗 − 𝑚 𝑥 𝑖, 𝑗 (1)
Dah – Chung[3] adapted a new method for ACE in which
contrast gain is non linear function of local standard
deviation. If enhancement is done with constant gain or
inversely proportional to LSD may produced either ringing
artifacts or noise over enhancement due to the use of too
large contrast gain in areas with high and low activities.
𝑓 𝑖, 𝑗 = 𝑚 𝑥 𝑖, 𝑗 + 𝑘 𝑖, 𝑗
𝑥 𝑖,𝑗 −𝑚 𝑥 𝑖,𝑗
𝜎 𝑥 𝑖,𝑗
(2)
Schutte [11] adopted a method that was based on the local
and global information of the input image to enhance an
image
𝑂 = 𝑖 + 𝑀
𝐶 𝑗
𝐿𝑆𝐷 𝑗
𝑖 − 𝑚𝑗
𝑘
𝑗=1 (3)
3. REMOVAL OF DIVIDED BY ZERO
CONDITION OF LSD
Global contrast enhancement and local contrast
enhancement both methods are individually not good for the
images having poor local and global contrast. These types of
images require such type of transformation function that
considers the local and global information of those images.
In our previous work [10] we proposed a method that was
based on the combination of global and local enhancement.
This method requires local as well as global information of
an image to perform enhancement for those information that
exists in less dynamic range of the image.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 415
𝑂 = 𝐼 +
𝑀∗𝐶 𝑖
𝜎 𝑖
𝑚𝑖 − 𝑚𝑖+1 (4)
This method is not suitable for the enhancement of that area
which is constant within the image. Local standard deviation
of any constant area is always equal to zero. In the above
equation 4, LSD is directly proportional to the contrast gain
M and local contrast control 𝐶𝑖. If LSD of any constant area
is equal to 0 then it is not possible to apply any
transformation function on neighbor hooding pixel of that
central pixel. This LSD can be modified by adding very
small value ‘s’ where s>0 and negligible value too.
𝑂 = 𝐼 +
𝑀∗𝐶 𝑖
𝜎 𝑖 ∗𝑠
𝑚𝑖 − 𝑚𝑖+1 (5)
Here O is the pixel’s gray level value of enhanced image
corresponding to I pixel’s gray value of original image. 𝐶𝑖 is
the local contrast control with the range of [0,1]. M is the
global contrast gain control with the range of [0, 1.5]. 𝜎𝑖 is
the local standard deviation of the window. 𝑚𝑖 is the pixel’s
gray scale value present in the original image and 𝑚𝑖+1 is
the subsequent pixel’s gray scale value of the original
image. This method slides pixel by pixel into the entire
image.
4. EXPERIMENTAL RESULTS
This section demonstrates the performance of the proposed
method. This proposed methods is tested on four gray scale
images- Cameraman, Eight, Pout and Tire. Results of the
proposed method are compared with the original image and
existing method. The validity of the proposed method is also
confirmed perceptually. For the quantitative measurement of
the contrast enhancement metric Peak Signal to Noise Ratio
(PSNR) is used. Table I shows the PSNR values for
different images
Table 1 PSNR values for different images
Image Original Existing
work
Proposed
work
a) cameraman 21.4807 21.7654 22.1569
b) eight 18.0114 19.0602 19.2854
c) tire 12.1275 12.9249 13.2014
d) pout 16.0029 17.9826 17.9493
From the table and images it has been observed that the
proposed method gives better contrast enhancement than the
existing work.
(a) cameraman (b) cameraman (c) cameraman
(a) eight (b) eight (c) eight
(a) pout (b) pout (c) pout
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
_______________________________________________________________________________________
Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 416
(a) tire (b) tire (c) tire
Fig 5 Enhancement results: (a) – Original Image, (b) based on equation no.-3, (c) based on proposed method
5. CONCLUSIONS
The basic idea behind this proposed work is to enhance an
image using global and local contrast enhancement. This
method is based on the local standard deviation. We have
removed the divided by zero condition in order to enhance
an image. The validity of the contrast of images enhanced
by proposed work is confirmed both perceptually and in
comparison with other images.
BIOGRAPHIES
Archana Singh, M.Tech, Digital Image
Processing, Ajay Kumar Garg Engg.
College Ghaziabad India, Asst. Professor,
Department of Computer Science and
Engineering, Ch. Beeri singh College of
Engg. & Management, Agra, India.
Neeraj Kumar, B.Tech, Computer Science
and Engineering, Hindustan College of
Science & Technology Mathura, Software
Developer, Software Architecture and
Design, Technology9Labs, New Delhi,
India.
REFERENCES
[1]. Archana, Verma, Akhilesh, Goel, Dr. Savita and Kumar,
Neeraj. 2013. Gray Level Enhancement to Emphasize Less
Dynamic Region within Image Using Genetic Algorithm. In
3rd IEEE International Advances computing Conference
IACC-2013, ISBN: 987-1-4673-4528-6.
[2]. Bressan, Marco., Dance, Chistopher R., Poirier, Herve
and Arregui, Damian. 2006. Local Contrast Enhancment.
[3]. Chang, D.C. and Wu, W.R. 1988. Image contrast
enhancement based on a histogram transformation of local
standard deviation. In IEEE Trans. MI, Vol. 17. no. 4, pp.
518-531.
[4]. Gonzales, R. and Winter, P. 1978. Digital Image
Processing. Addison Wesley.
[5]. Ibrahim, Haidi and Kang, N.S.P., 2009. Image
Sharpening using Sub-Regions Histogram Equalization.
IEEE Trans. Consumer Electron. Vol. 55. Issue 2. Pp:
891895
[6]. Jain, K. 1997. Fundamentals of digital image
processing. Englewood Cliffs. NJ. Prentice-Hall.
[7]. Kotkar, Vijay A., and Gharde, Sanjay S., 2013. “Review
of Various Image Contrast Enhancement Techniques”.
International Journal of Innovative Research in Science,
Engineering and Technology. Vol. 2. Issue-7. ISSN:2319-
8753.
[8]. Mukhopadhyay, S. and Chanda, B. 2000. Local
Contrast Enhancement of Grayscale Images using
Multiscale Morphology.
[9]. Narendra, P.M. and Fitch, R.C. 1981. Real-time
adaptive contrast enhancement," IEEE Trans. PAMI, Vol.3,
no. 6, pp.655-661.
[10]. Singh, Archana and Kumar, Neeraj. 2014. “A Global-
Local Contrast based Image Enhancement Technique based
on Local Standard Deviation”. International Journal of
Computer Applications. (0975-8887). Vol. 93. No-2.
[11]. Schutte, K. 1997. Multi-Scale Adaptive Gain Control
of IR Images. Infrared Technology and Applications XXIII.
In Proceedings of SPIE Vol. 3061, pp.906-914.
[12]. Singh, S. Somorjeet, Devi, Dr. H. Mamata, Singh, Th.
Tangkeshwar O. and Singh, Imocha. 2012 “A New Easy
Method of Enhancement of Low Contrast Image Using
Spatial Domain,” International Journal of Computer
Applications (0975 – 8887) Volume 40– No.1.
[13]. Singh, S.Somorjeet, Singh, Th. Tangkeshwar, Devi, H.
Mamata and Sinam,Tejmani. 2012. “Local Contrast
Enhancement Using Local Standard Deviation,”
International Journal of Computer Applications (0975-888).
Vol. 47– No.15.
[14]. Zheng, Danian, Wang, Jiaxin and Xiao, Zhenghong.
2005. “Image Enhancement Based on Local Standard
Deviation”. Journal of Information & Computational
Science 2: 2. 429-437.

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A comprehensive method for image contrast enhancement based on global –local contrast and local standard deviation

  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 413 A COMPREHENSIVE METHOD FOR IMAGE CONTRAST ENHANCEMENT BASED ON GLOBAL –LOCAL CONTRAST AND LOCAL STANDARD DEVIATION Archana Singh1 , Neeraj Kumar2 1 Assistant Professor, Ch. Beeri Singh College of Engg & Management, Agra, India 2 Software Developer, Technology9Labs, New Delhi, India Abstract Image contrast enhancement is used to increase the detailed visibility of an image by performing some transformation on input image. Global contrast enhancement and local contrast enhancement both are the very popular method for contrast enhancement. But these two methods are also not sufficient in order to enhance an image when image has some constant area and it is not possible to perform any kind of transformation to neighbor hooding pixels of the central pixel. Due to that some information may be lost. This paper proposed a method to remove the divided by zero condition, arises due to the local standard deviation of that constant area in order to enhance an image. This method enhances an image without any loss in detailed visibility of an image. Keywords - contrast enhancement, local contrast enhancement, global contrast enhancement, local standard deviation -------------------------------------------------------------------***------------------------------------------------------------------- 1. INTRODUCTION The first task of digital image processing is image contrast enhancement. It is done by applying some transformation function for the removal of noise and amplification of the detail that is present in image. Producing image with good contrast and quality is well suitable for biomedical image analysis, fault detection, robotics etc. Contrast enhancement taught to eliminate the problem like unnatural contrast present in the image or image may not reveal all the information present in the captured image. Different methods have already been developed for contrast enhancement [5-6]. Linear stretching and histogram equalization are two widely used methods for global contrast enhancement [12]. These methods are based on the global information of the image. Linear stretching is done by stretching the gray values of input image linearly as shown in fig.1. The formal linear stretching adjusts an image’s dynamic range and the latter uses the input mapping relation obtained from the integral of the image histogram [3]. Input Gray level Fig. 1 Linear Transformation Histogram equalization is one of the most promising techniques for image contrast enhancement. It redistributes the gray level of the image according to the probability distribution of the input gray level [4] as shown in fig.2 and fig.3. This method works well with smaller images or images having different intensity levels. Global histogram equalization and local histogram equalization both comes under the categories of histogram equalization. Global Histogram Equalization [GHE] is another method for global enhancement. It is very effective and appropriate enhancement method for some images [13]. Input Gray level Fig. 2 Histogram Equalization before enhancement
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 414 Fig. 3 Histogram Equalization after enhancement This method has the undesired effect of over emphasizing noise as the gray levels with high frequency rules over the gray levels with low frequency. This method works with the image globally and do not take local details into account. It uses its transformation function to enhance an image based on the histogram input of entire image. Local histogram equalization is the extension of global histogram equalization [1]. This method is based on block processing. A small sized window is selected from the image for enhancement. This window slides through every pixel of the image in order to enhance that image as shown in fig.4. Only those pixels are considered that fall in this window and enhancement is performed only for the center pixel of that window. Unlike global contrast enhancement this method includes local information of the image. Fig. 4 Local histogram equalization 2. REVIEW ON LSD BASED METHOD Contrast of an image depends upon the local standard deviation [LSD] of the luminance present at the local image area. Kotkar-Gharde [7] proposed two methods global and local enhancement using Local Feature Enhancement [LFE] and Bidirectional Smooth Histogram Stretching [BSHS] to enhance an input image. LFE is used to search local features of image and BSHS is used to get bidirectional smooth histogram stretching. Then result is combined to get weighted of local and bidirectional smooth histogram stretching and local enhancement on input image. Marco et. cl. [2] introduced an algorithm based on local contrast enhancement. This algorithm focuses on locally enhancing contrast in under exposed image regions using a background-based approach. Mukhopadhyay and Chandra [8] proposed a method that was based on multiscale morphology for local enhancement of gray level of input image. This method emphasizes nonlinear enhancement of region that comes into account, extracted from the image based on its shape, size, scale, etc. Zhen and Wang [14] introduced a piecewise linear function model for emphasizing the luminance contrast at every local area using its LSD. Adaptive contrast enhancement [ACE] is another method for contrast enhancement based on local standard deviation. ACE is the well known technique in medical image processing based on the contrast gain to adjust the high frequency component of images. Narendra and Fitch [9] introduced a method in that the contrast gain is inversely proportional to the local standard deviation. In this method the transformation function is based on the local gray level information of the input image. 𝑓 𝑖, 𝑗 = 𝑚 𝑥 𝑖, 𝑗 + 𝐷 𝜎 𝑥 𝑖,𝑗 𝑥 𝑖, 𝑗 − 𝑚 𝑥 𝑖, 𝑗 (1) Dah – Chung[3] adapted a new method for ACE in which contrast gain is non linear function of local standard deviation. If enhancement is done with constant gain or inversely proportional to LSD may produced either ringing artifacts or noise over enhancement due to the use of too large contrast gain in areas with high and low activities. 𝑓 𝑖, 𝑗 = 𝑚 𝑥 𝑖, 𝑗 + 𝑘 𝑖, 𝑗 𝑥 𝑖,𝑗 −𝑚 𝑥 𝑖,𝑗 𝜎 𝑥 𝑖,𝑗 (2) Schutte [11] adopted a method that was based on the local and global information of the input image to enhance an image 𝑂 = 𝑖 + 𝑀 𝐶 𝑗 𝐿𝑆𝐷 𝑗 𝑖 − 𝑚𝑗 𝑘 𝑗=1 (3) 3. REMOVAL OF DIVIDED BY ZERO CONDITION OF LSD Global contrast enhancement and local contrast enhancement both methods are individually not good for the images having poor local and global contrast. These types of images require such type of transformation function that considers the local and global information of those images. In our previous work [10] we proposed a method that was based on the combination of global and local enhancement. This method requires local as well as global information of an image to perform enhancement for those information that exists in less dynamic range of the image.
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 415 𝑂 = 𝐼 + 𝑀∗𝐶 𝑖 𝜎 𝑖 𝑚𝑖 − 𝑚𝑖+1 (4) This method is not suitable for the enhancement of that area which is constant within the image. Local standard deviation of any constant area is always equal to zero. In the above equation 4, LSD is directly proportional to the contrast gain M and local contrast control 𝐶𝑖. If LSD of any constant area is equal to 0 then it is not possible to apply any transformation function on neighbor hooding pixel of that central pixel. This LSD can be modified by adding very small value ‘s’ where s>0 and negligible value too. 𝑂 = 𝐼 + 𝑀∗𝐶 𝑖 𝜎 𝑖 ∗𝑠 𝑚𝑖 − 𝑚𝑖+1 (5) Here O is the pixel’s gray level value of enhanced image corresponding to I pixel’s gray value of original image. 𝐶𝑖 is the local contrast control with the range of [0,1]. M is the global contrast gain control with the range of [0, 1.5]. 𝜎𝑖 is the local standard deviation of the window. 𝑚𝑖 is the pixel’s gray scale value present in the original image and 𝑚𝑖+1 is the subsequent pixel’s gray scale value of the original image. This method slides pixel by pixel into the entire image. 4. EXPERIMENTAL RESULTS This section demonstrates the performance of the proposed method. This proposed methods is tested on four gray scale images- Cameraman, Eight, Pout and Tire. Results of the proposed method are compared with the original image and existing method. The validity of the proposed method is also confirmed perceptually. For the quantitative measurement of the contrast enhancement metric Peak Signal to Noise Ratio (PSNR) is used. Table I shows the PSNR values for different images Table 1 PSNR values for different images Image Original Existing work Proposed work a) cameraman 21.4807 21.7654 22.1569 b) eight 18.0114 19.0602 19.2854 c) tire 12.1275 12.9249 13.2014 d) pout 16.0029 17.9826 17.9493 From the table and images it has been observed that the proposed method gives better contrast enhancement than the existing work. (a) cameraman (b) cameraman (c) cameraman (a) eight (b) eight (c) eight (a) pout (b) pout (c) pout
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 _______________________________________________________________________________________ Volume: 03 Issue: 08 | Aug-2014, Available @ http://www.ijret.org 416 (a) tire (b) tire (c) tire Fig 5 Enhancement results: (a) – Original Image, (b) based on equation no.-3, (c) based on proposed method 5. CONCLUSIONS The basic idea behind this proposed work is to enhance an image using global and local contrast enhancement. This method is based on the local standard deviation. We have removed the divided by zero condition in order to enhance an image. The validity of the contrast of images enhanced by proposed work is confirmed both perceptually and in comparison with other images. BIOGRAPHIES Archana Singh, M.Tech, Digital Image Processing, Ajay Kumar Garg Engg. College Ghaziabad India, Asst. Professor, Department of Computer Science and Engineering, Ch. Beeri singh College of Engg. & Management, Agra, India. Neeraj Kumar, B.Tech, Computer Science and Engineering, Hindustan College of Science & Technology Mathura, Software Developer, Software Architecture and Design, Technology9Labs, New Delhi, India. REFERENCES [1]. Archana, Verma, Akhilesh, Goel, Dr. Savita and Kumar, Neeraj. 2013. Gray Level Enhancement to Emphasize Less Dynamic Region within Image Using Genetic Algorithm. In 3rd IEEE International Advances computing Conference IACC-2013, ISBN: 987-1-4673-4528-6. [2]. Bressan, Marco., Dance, Chistopher R., Poirier, Herve and Arregui, Damian. 2006. Local Contrast Enhancment. [3]. Chang, D.C. and Wu, W.R. 1988. Image contrast enhancement based on a histogram transformation of local standard deviation. In IEEE Trans. MI, Vol. 17. no. 4, pp. 518-531. [4]. Gonzales, R. and Winter, P. 1978. Digital Image Processing. Addison Wesley. [5]. Ibrahim, Haidi and Kang, N.S.P., 2009. Image Sharpening using Sub-Regions Histogram Equalization. IEEE Trans. Consumer Electron. Vol. 55. Issue 2. Pp: 891895 [6]. Jain, K. 1997. Fundamentals of digital image processing. Englewood Cliffs. NJ. Prentice-Hall. [7]. Kotkar, Vijay A., and Gharde, Sanjay S., 2013. “Review of Various Image Contrast Enhancement Techniques”. International Journal of Innovative Research in Science, Engineering and Technology. Vol. 2. Issue-7. ISSN:2319- 8753. [8]. Mukhopadhyay, S. and Chanda, B. 2000. Local Contrast Enhancement of Grayscale Images using Multiscale Morphology. [9]. Narendra, P.M. and Fitch, R.C. 1981. Real-time adaptive contrast enhancement," IEEE Trans. PAMI, Vol.3, no. 6, pp.655-661. [10]. Singh, Archana and Kumar, Neeraj. 2014. “A Global- Local Contrast based Image Enhancement Technique based on Local Standard Deviation”. International Journal of Computer Applications. (0975-8887). Vol. 93. No-2. [11]. Schutte, K. 1997. Multi-Scale Adaptive Gain Control of IR Images. Infrared Technology and Applications XXIII. In Proceedings of SPIE Vol. 3061, pp.906-914. [12]. Singh, S. Somorjeet, Devi, Dr. H. Mamata, Singh, Th. Tangkeshwar O. and Singh, Imocha. 2012 “A New Easy Method of Enhancement of Low Contrast Image Using Spatial Domain,” International Journal of Computer Applications (0975 – 8887) Volume 40– No.1. [13]. Singh, S.Somorjeet, Singh, Th. Tangkeshwar, Devi, H. Mamata and Sinam,Tejmani. 2012. “Local Contrast Enhancement Using Local Standard Deviation,” International Journal of Computer Applications (0975-888). Vol. 47– No.15. [14]. Zheng, Danian, Wang, Jiaxin and Xiao, Zhenghong. 2005. “Image Enhancement Based on Local Standard Deviation”. Journal of Information & Computational Science 2: 2. 429-437.