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IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 258
MODIFIED ADAPTIVE BILATERAL FILTER FOR IMAGE CONTRAST
ENHANCEMENT
R.Rejitha1
, A.Kanagaraj2
1
PG Scholar, Department of CSE, Sardar Raja college of Engineering, Alankulam, Tamil Nadu
2
Assistant Professor, Department of CSE, Sardar Raja college of Engineering, Alankulam, Tamil Nadu.
Abstract
This paper proposes a two phase theme for removing noise and improves the resolution improvement victimization Adaptive bilateral
filter. Within the initial part, to get rid of total variant regularization is employed to spot pixels that square measure probably to be
contaminated by noise. Within the second part, the image is rebuilt employing a specialized technique that applies solely to those
chosen component candidates for improvement. The filter may be applied iteratively to effectively scale back significant noise. In
terms of edge preservation and noise suppression, our rebuilt images show a big improvement compared to those rebuilt by
victimization simply nonlinear filters or regularization strategies solely. It’s additionally called multiple-look process. Our theme will
take away background level as high as attainable and provides high resolution output compared to alternative strategies.
Keywords—Bilateral Filter, Denoising, Enhancement, Quality
------------------------------------------------------------------------***---------------------------------------------------------------------
1. INTRODUCTION
Image process is associate degree application space that needs
quick realization of sure computationally intensive operations
and therefore the ability of the system‟s developer to
experiment with algorithms. High accomplishment
arrangement is acceptable in Image process applications, space
it ought to be alternate and experimental, so the creator will
modify, tune or alter the algorithmic rule speedily and handily.
Image process involves moderating a two-dimensional Image
because the judge of a arrangement and outputting a custom-
made Image or a group of shaping reach incidental to the
image. Trendy Image process tends to accredit to the agenda
space the blush of day component is outlined by a wire of lay
eyes on digits. However abundant techniques are at home with
analog[1] and even optical pictures. Image process involves
abundant transformations and techniques, sometimes no
inheritable from the land area of stunning process. There are
accepted geometric transformations like enlargement,
measurements reduction [2], path adaptation and rotation. It‟s
accessible to adapt the colors in pictures like acceptable
contrasts or maybe reworking the Image into associate degree
fully altered blush palette in line with some specific mapping
system. Compositions of pictures are overtimes conducted to
soak up parts from various pictures. Another breadth of
absorption involves interpolation. Basically, pictures retrieved
in some contexts are spread with missing pixels. Accepted
techniques absorb artlessly ciphering the missing pixels
supported the blush of the adjoining accepted pixels.
Sweetening operations are agitated dead set advance the
interpretability of the Image by accretion credible adverse a
neighborhood of varied look within the scene. As a picture
sweetening technique typically drastically alters the first
numeric information, it's ordinarily used just for visual
interpretation and not for any numeric analysis.
2. IMAGE RESOLUTION
Resolution is a capability of associate degree imaging system
to record fine details in a very distinguishable manner. An
operating data of resolution is important for understanding
each sensible and abstract details of remote sensing. Together
with the particular positioning of spectral bands, they're of
dominant importance in crucial the suitableness of remotely
detected information for a given applications. the most
important characteristics[3][4] of imaging remote sensing
instrument operational within the visible and infrared spectral
region are delineate in terms as Spectral resolution,
Radiometric resolution, special resolution and Temporal
resolution. Spectral Resolution refers to the breadth of the
spectral bands. These spectral characteristics outline the
spectral position and spectral sensitivity so as to differentiate
materials. There‟s a trade-off between spectral resolution and
signal to noise. Radiometric Resolution [6] or radiometric
sensitivity refers to the quantity of digital levels accustomed
specific the information collected by the sensing element. It‟s
normally expressed because the range of bits must store the
most level. Here additionally there's a trade-off between
radiometric resolution and signal to noise. There‟s no purpose
in having a step size but the background level within the
information. A low-quality instrument with a high background
level would essentially, therefore, have a lower radiometric
resolution compared with a high-quality[8], high signal-to-
noise-ratio instrument. Additionally higher radiometric
resolution could conflict with information storage and
transmission rates.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 259
3. IMAGE FILTER
Image filtering is helpful for several applications, together
with smoothing, sharpening, removing noise, and edge
detection. A filter is outlined by a kernel that may be a little
array applied to every picture element and its neighbors at
intervals a picture. In most applications, the middle of the
kernel is aligned with this picture element, and may be a
square with an odd variety of components in every dimension.
The method wont to apply filters to a picture is understood as
convolution, and should be applied in either the spacial or
frequency domain. at intervals the spacial domain, the primary
a part of the convolution method multiplies the weather of the
kernel by the matching picture element values once the kernel
is targeted over a picture element. The weather of the ensuing
array is averaged, and also the original picture element price is
replaced with this result. The filter perform performs this
convolution method for a whole image.
3.1 Modified Adaptive Bilateral filter
In our proposed method modified adaptive bilateral filter
smoothes pictures whereas conserving edges, by suggests that
of a nonlinear combination of close image values. And
although bilateral filtering may be a nonlinear technique it's
non-iterative, „local‟ and straightforward. The nonlinearity
arises attributable to the nonlinear relationship of picture
element values of a picture. Our proposed bilateral filters
comprise of 2 element filters: a domain filter and a variety
filter. Domain filter element refers to the normal low-pass
filter wont to average values of the image. Our implementation
of the domain filter utilizes a Gaussian blur kernel for filter
weights. This adaptive quality is illustrated within the figures
below. Bilateral filter is that the resultant product of the
domain and vary filters, which ends in an averaging of image
pixels supported special and measuring closeness. This is
often the central plan underlying the bilateral filtering
interpolation technique.
Consider an image H (1), H (2)… H (n) where n is the present
time point and performs the following steps:
1) For index k sufficiently large, carry out the Gaussian
model on {H (1), H (2)… H (n)}.
2) Retain the coefficient values as well as the smooth values
for the k time point only: D1 (k), D2 (k)… D5 (k). The
summation of these values gives H (k).
3) If k < n, set k = k+1 and go to Step 1.
This process produces an additive decomposition of the signal
H(k), H(k+1), …, H(n), The result of the complete
transformation, T, is composed of 4 new sub-images, which
correspond to the blurred image, and the vertical, diagonal,
and horizontal differences between the original image and the
blurred image. The blurred representation of the image
removes the details, which are represented separately in the
other three images, in a manner that produces a sparser
representation overall, making it is easier to store and transmit.
Bilateral filter adaptively smoothes an input image over
neighboring pixels with edge detection capability. Throughout
this section the input image is denoted f while the output
image is denoted g. The output image content at pixel (x, y) is
computed as a weighted average of the input image contents of
all pixels within a (2W+1)-by- (2W+1) window around the
pixel (x, y), where W is predefined.
From the Gaussian model its weight at or near the center and
exponentially diminishes away from the center. Thus, both the
domain filter kernel and the range filter kernel have been
designed with the Gaussian as follows
         








 2
2
2
,
exp,
r
r fzfs
fzfH




After that we apply smoothing process to the pixels that area
unit in shut geometric proximity have similar contents. Thus,
it's assumed safe to average over shut pixels. However, this
central plan breaks down at the „edges‟ of a picture. During
this context, „edges‟ ask those points on a picture wherever
there are a unit discontinuities or sharp contrasts between
pixels content and its immediate neighbor‟s. The bilateral
filter accounts for the sides by weight pixels supported their
photometrical similarity additionally to geometric proximity.
Therefore, the bilateral filter kernel may be a composite kernel
consisting of a site filter kernel and a variety filter kernel. The
domain filter kernel weights pel contents supported geometric
proximity to the middle pel whereas the vary filter kernel
weights the pel contents supported photometrical similarity to
the middle pel. The mathematician perform may be a natural
candidate for implementing such a weight theme. The
mathematician mask contains parts determined by a
mathematician perform. This convolution brings the worth of
every pel into nearer harmony with the values of its neighbors.
In general, a smoothing filter sets every pel to the common
worth, or a weighted average, of itself and its near neighbors;
the mathematician filter is simply one potential set of weights.
Smoothing filters tend to blur a picture, as a result of pel
intensity values that area unit considerably higher or less than
the encompassing neighborhood would "smear" across the
world. As a result of this blurring, linear filters area unit rarely
employed in follow for noise reduction; they're, however,
typically used because the basis for nonlinear noise reduction
filters.
4. EXPERIMENTAL RESULTS
Experimental results show that our method performs much
better than median-based filters or the edge-preserving
regularization methods. Even at a very high noise level, the
texture, details and edges are preserved accurately
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 260
Fig 1: Input image
The above input image is given to the system for enhancement
process.
Fig 2: Smoothed image
The input image is given to the system for smoothing purpose
by using smoothing filter.
Fig 3: Detail image
Then the image features are exposed after smoothing process.
Fig 4: Enhanced output image
Image quality is a characteristic of an image that measures the
Image quality may be a characteristic of a picture that
measures the perceived image degradation generally,
compared to a perfect image. By shaping image quality in
terms of a deviation from the perfect state of affairs, quality
measures become technical within the sense
Table 1: Quality Measure
The above Table shows the image pixel classification which
aims at identifying points in a digital image at which the
image brightness changes sharply or, more formally, has
discontinuities.
4.1 Performance Comparison
Below figure shows that performance Comparison graph of
our proposed methods with various other methods
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 261
Fig 5: Sharpness Comparison
Sharpness determines the number of detail a picture will
convey. System sharpness is full of the component count and
anti-aliasing filter. Within the field, sharpness is full of camera
shake, focus accuracy, and part disturbances. Lost sharpness
will be remodeled by sharpening,
Fig 6.Naturalnesss Comparison
Color accuracy is an important image quality factor. The most
accurate color isn't necessarily most pleasing. Nevertheless it
is important to measure a camera's color response, its color
shifts, saturation, and the effectiveness of its white balance
algorithms.
Fig 7.Quality Comparison
5. CONCLUSIONS
This paper projected a brand new means of denoising and
enhances the image victimization modified adaptive bilateral
filter. Its main feature is that it distinguishes between native
variations as a result of noise and as a result of image
structures, victimization deconvolution estimation. In addition,
the form of the membership functions is customized per the
remaining quantity of noise when every iteration.
Experimental results show the practicableness of the new
filter.
REFERENCES
[1]. G. Aubert and J. Aujol, “A variational approach to remove
multiplicative noise,” SIAM J. Appl. Math., vol. 68, no. 4, pp.
925–946, 2008.
[2]. M. Bazaraa, H. Sherali, and C. Shetty, Nonlinear
Programming: Theory and Algorithms. Hoboken, NJ: Wiley,
1993.
[3]. A. Beck and M. Teboulle, “A fast iterative shrinkage-
thresholding algorithm for linear inverse problems,” SIAM J.
Imag. Sci., vol. 2, pp. 183–202, 2009
[4]. J. Bioucas-Dias and M. Figueiredo, “An iterative
algorithm for linear inverse problems with compound
regularizers,” in Proc. IEEE Int. Conf. Image Processing, San
Diego, CA, 2008, pp. 685–688.
[5]. J. Bioucas-Dias and M. Figueiredo, “Total variation
restoration of speckled images using a split-Bregman
algorithm,” in Proc. IEEE Int. Conf. Image Processing, Cairo,
Egypt, 2009, pp. 3717–3720.
[6]. J. Bioucas-Dias and M. Figueiredo, “A new TwIST: Two-
step iterative shrinkage/thresholding algorithms for image
restoration,” IEEE Trans. Image Process., vol. 16, no. 12, pp.
2980–2991, Dec. 2007.
[7]. J. Bioucas-Dias, T. Silva, and J. Leitão, “Adaptive
restoration of speckled SAR images,” in Proc. IEEE Int.
IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308
__________________________________________________________________________________________
Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 262
Geoscience and Remote Sensing Symp., 1998, vol. I, pp. 19–
23.
[8]. A. Chambolle, “An algorithm for total variation
minimization and applications,”J. Math. Imag. Vis., vol. 20,
pp. 89–97, 2004.
[9]. T. Chan, S. Esedoglu, F. Park, and A. Yip, “Recent
developments in total variation image restoration,” in
Mathematical Models of Computer Vision. Berlin, Germany:
Springer-Verlag, 2005.
[10]. T. Chan, G. Golub, and P. Mulet, “A nonlinear primal-
dual method for total variation-based image restoration,”
SIAM J. Sci. Comput., vol. 20, pp. 1964–1977, 1999.
BIOGRAPHIES
Prof.A.Kanagaraj, received B.E degree
from EEE department, Government college
of Engineering Bargur under Anna
University, and M.E degree from CSE
department, Government college of
Engineering Tirunelveli from Anna
University, Tirunelveli. His current research interests include
image enhancement and image denoising.
Rejitha.R received B.Tech degree in
computer Science and Engineering from
Baselious Mathews II College of
Engineering under Kerala University and
M.E degree in Computer Science and
Engineering from Sardar Raja College of
Engineering, Tirunelveli under Anna University. Her current
research includes image enhancement, denoising and high
dynamic range image processing.

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  • 1. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 258 MODIFIED ADAPTIVE BILATERAL FILTER FOR IMAGE CONTRAST ENHANCEMENT R.Rejitha1 , A.Kanagaraj2 1 PG Scholar, Department of CSE, Sardar Raja college of Engineering, Alankulam, Tamil Nadu 2 Assistant Professor, Department of CSE, Sardar Raja college of Engineering, Alankulam, Tamil Nadu. Abstract This paper proposes a two phase theme for removing noise and improves the resolution improvement victimization Adaptive bilateral filter. Within the initial part, to get rid of total variant regularization is employed to spot pixels that square measure probably to be contaminated by noise. Within the second part, the image is rebuilt employing a specialized technique that applies solely to those chosen component candidates for improvement. The filter may be applied iteratively to effectively scale back significant noise. In terms of edge preservation and noise suppression, our rebuilt images show a big improvement compared to those rebuilt by victimization simply nonlinear filters or regularization strategies solely. It’s additionally called multiple-look process. Our theme will take away background level as high as attainable and provides high resolution output compared to alternative strategies. Keywords—Bilateral Filter, Denoising, Enhancement, Quality ------------------------------------------------------------------------***--------------------------------------------------------------------- 1. INTRODUCTION Image process is associate degree application space that needs quick realization of sure computationally intensive operations and therefore the ability of the system‟s developer to experiment with algorithms. High accomplishment arrangement is acceptable in Image process applications, space it ought to be alternate and experimental, so the creator will modify, tune or alter the algorithmic rule speedily and handily. Image process involves moderating a two-dimensional Image because the judge of a arrangement and outputting a custom- made Image or a group of shaping reach incidental to the image. Trendy Image process tends to accredit to the agenda space the blush of day component is outlined by a wire of lay eyes on digits. However abundant techniques are at home with analog[1] and even optical pictures. Image process involves abundant transformations and techniques, sometimes no inheritable from the land area of stunning process. There are accepted geometric transformations like enlargement, measurements reduction [2], path adaptation and rotation. It‟s accessible to adapt the colors in pictures like acceptable contrasts or maybe reworking the Image into associate degree fully altered blush palette in line with some specific mapping system. Compositions of pictures are overtimes conducted to soak up parts from various pictures. Another breadth of absorption involves interpolation. Basically, pictures retrieved in some contexts are spread with missing pixels. Accepted techniques absorb artlessly ciphering the missing pixels supported the blush of the adjoining accepted pixels. Sweetening operations are agitated dead set advance the interpretability of the Image by accretion credible adverse a neighborhood of varied look within the scene. As a picture sweetening technique typically drastically alters the first numeric information, it's ordinarily used just for visual interpretation and not for any numeric analysis. 2. IMAGE RESOLUTION Resolution is a capability of associate degree imaging system to record fine details in a very distinguishable manner. An operating data of resolution is important for understanding each sensible and abstract details of remote sensing. Together with the particular positioning of spectral bands, they're of dominant importance in crucial the suitableness of remotely detected information for a given applications. the most important characteristics[3][4] of imaging remote sensing instrument operational within the visible and infrared spectral region are delineate in terms as Spectral resolution, Radiometric resolution, special resolution and Temporal resolution. Spectral Resolution refers to the breadth of the spectral bands. These spectral characteristics outline the spectral position and spectral sensitivity so as to differentiate materials. There‟s a trade-off between spectral resolution and signal to noise. Radiometric Resolution [6] or radiometric sensitivity refers to the quantity of digital levels accustomed specific the information collected by the sensing element. It‟s normally expressed because the range of bits must store the most level. Here additionally there's a trade-off between radiometric resolution and signal to noise. There‟s no purpose in having a step size but the background level within the information. A low-quality instrument with a high background level would essentially, therefore, have a lower radiometric resolution compared with a high-quality[8], high signal-to- noise-ratio instrument. Additionally higher radiometric resolution could conflict with information storage and transmission rates.
  • 2. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 259 3. IMAGE FILTER Image filtering is helpful for several applications, together with smoothing, sharpening, removing noise, and edge detection. A filter is outlined by a kernel that may be a little array applied to every picture element and its neighbors at intervals a picture. In most applications, the middle of the kernel is aligned with this picture element, and may be a square with an odd variety of components in every dimension. The method wont to apply filters to a picture is understood as convolution, and should be applied in either the spacial or frequency domain. at intervals the spacial domain, the primary a part of the convolution method multiplies the weather of the kernel by the matching picture element values once the kernel is targeted over a picture element. The weather of the ensuing array is averaged, and also the original picture element price is replaced with this result. The filter perform performs this convolution method for a whole image. 3.1 Modified Adaptive Bilateral filter In our proposed method modified adaptive bilateral filter smoothes pictures whereas conserving edges, by suggests that of a nonlinear combination of close image values. And although bilateral filtering may be a nonlinear technique it's non-iterative, „local‟ and straightforward. The nonlinearity arises attributable to the nonlinear relationship of picture element values of a picture. Our proposed bilateral filters comprise of 2 element filters: a domain filter and a variety filter. Domain filter element refers to the normal low-pass filter wont to average values of the image. Our implementation of the domain filter utilizes a Gaussian blur kernel for filter weights. This adaptive quality is illustrated within the figures below. Bilateral filter is that the resultant product of the domain and vary filters, which ends in an averaging of image pixels supported special and measuring closeness. This is often the central plan underlying the bilateral filtering interpolation technique. Consider an image H (1), H (2)… H (n) where n is the present time point and performs the following steps: 1) For index k sufficiently large, carry out the Gaussian model on {H (1), H (2)… H (n)}. 2) Retain the coefficient values as well as the smooth values for the k time point only: D1 (k), D2 (k)… D5 (k). The summation of these values gives H (k). 3) If k < n, set k = k+1 and go to Step 1. This process produces an additive decomposition of the signal H(k), H(k+1), …, H(n), The result of the complete transformation, T, is composed of 4 new sub-images, which correspond to the blurred image, and the vertical, diagonal, and horizontal differences between the original image and the blurred image. The blurred representation of the image removes the details, which are represented separately in the other three images, in a manner that produces a sparser representation overall, making it is easier to store and transmit. Bilateral filter adaptively smoothes an input image over neighboring pixels with edge detection capability. Throughout this section the input image is denoted f while the output image is denoted g. The output image content at pixel (x, y) is computed as a weighted average of the input image contents of all pixels within a (2W+1)-by- (2W+1) window around the pixel (x, y), where W is predefined. From the Gaussian model its weight at or near the center and exponentially diminishes away from the center. Thus, both the domain filter kernel and the range filter kernel have been designed with the Gaussian as follows                    2 2 2 , exp, r r fzfs fzfH     After that we apply smoothing process to the pixels that area unit in shut geometric proximity have similar contents. Thus, it's assumed safe to average over shut pixels. However, this central plan breaks down at the „edges‟ of a picture. During this context, „edges‟ ask those points on a picture wherever there are a unit discontinuities or sharp contrasts between pixels content and its immediate neighbor‟s. The bilateral filter accounts for the sides by weight pixels supported their photometrical similarity additionally to geometric proximity. Therefore, the bilateral filter kernel may be a composite kernel consisting of a site filter kernel and a variety filter kernel. The domain filter kernel weights pel contents supported geometric proximity to the middle pel whereas the vary filter kernel weights the pel contents supported photometrical similarity to the middle pel. The mathematician perform may be a natural candidate for implementing such a weight theme. The mathematician mask contains parts determined by a mathematician perform. This convolution brings the worth of every pel into nearer harmony with the values of its neighbors. In general, a smoothing filter sets every pel to the common worth, or a weighted average, of itself and its near neighbors; the mathematician filter is simply one potential set of weights. Smoothing filters tend to blur a picture, as a result of pel intensity values that area unit considerably higher or less than the encompassing neighborhood would "smear" across the world. As a result of this blurring, linear filters area unit rarely employed in follow for noise reduction; they're, however, typically used because the basis for nonlinear noise reduction filters. 4. EXPERIMENTAL RESULTS Experimental results show that our method performs much better than median-based filters or the edge-preserving regularization methods. Even at a very high noise level, the texture, details and edges are preserved accurately
  • 3. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 260 Fig 1: Input image The above input image is given to the system for enhancement process. Fig 2: Smoothed image The input image is given to the system for smoothing purpose by using smoothing filter. Fig 3: Detail image Then the image features are exposed after smoothing process. Fig 4: Enhanced output image Image quality is a characteristic of an image that measures the Image quality may be a characteristic of a picture that measures the perceived image degradation generally, compared to a perfect image. By shaping image quality in terms of a deviation from the perfect state of affairs, quality measures become technical within the sense Table 1: Quality Measure The above Table shows the image pixel classification which aims at identifying points in a digital image at which the image brightness changes sharply or, more formally, has discontinuities. 4.1 Performance Comparison Below figure shows that performance Comparison graph of our proposed methods with various other methods
  • 4. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 261 Fig 5: Sharpness Comparison Sharpness determines the number of detail a picture will convey. System sharpness is full of the component count and anti-aliasing filter. Within the field, sharpness is full of camera shake, focus accuracy, and part disturbances. Lost sharpness will be remodeled by sharpening, Fig 6.Naturalnesss Comparison Color accuracy is an important image quality factor. The most accurate color isn't necessarily most pleasing. Nevertheless it is important to measure a camera's color response, its color shifts, saturation, and the effectiveness of its white balance algorithms. Fig 7.Quality Comparison 5. CONCLUSIONS This paper projected a brand new means of denoising and enhances the image victimization modified adaptive bilateral filter. Its main feature is that it distinguishes between native variations as a result of noise and as a result of image structures, victimization deconvolution estimation. In addition, the form of the membership functions is customized per the remaining quantity of noise when every iteration. Experimental results show the practicableness of the new filter. REFERENCES [1]. G. Aubert and J. Aujol, “A variational approach to remove multiplicative noise,” SIAM J. Appl. Math., vol. 68, no. 4, pp. 925–946, 2008. [2]. M. Bazaraa, H. Sherali, and C. Shetty, Nonlinear Programming: Theory and Algorithms. Hoboken, NJ: Wiley, 1993. [3]. A. Beck and M. Teboulle, “A fast iterative shrinkage- thresholding algorithm for linear inverse problems,” SIAM J. Imag. Sci., vol. 2, pp. 183–202, 2009 [4]. J. Bioucas-Dias and M. Figueiredo, “An iterative algorithm for linear inverse problems with compound regularizers,” in Proc. IEEE Int. Conf. Image Processing, San Diego, CA, 2008, pp. 685–688. [5]. J. Bioucas-Dias and M. Figueiredo, “Total variation restoration of speckled images using a split-Bregman algorithm,” in Proc. IEEE Int. Conf. Image Processing, Cairo, Egypt, 2009, pp. 3717–3720. [6]. J. Bioucas-Dias and M. Figueiredo, “A new TwIST: Two- step iterative shrinkage/thresholding algorithms for image restoration,” IEEE Trans. Image Process., vol. 16, no. 12, pp. 2980–2991, Dec. 2007. [7]. J. Bioucas-Dias, T. Silva, and J. Leitão, “Adaptive restoration of speckled SAR images,” in Proc. IEEE Int.
  • 5. IJRET: International Journal of Research in Engineering and Technology eISSN: 2319-1163 | pISSN: 2321-7308 __________________________________________________________________________________________ Volume: 03 Issue: 04 | Apr-2014, Available @ http://www.ijret.org 262 Geoscience and Remote Sensing Symp., 1998, vol. I, pp. 19– 23. [8]. A. Chambolle, “An algorithm for total variation minimization and applications,”J. Math. Imag. Vis., vol. 20, pp. 89–97, 2004. [9]. T. Chan, S. Esedoglu, F. Park, and A. Yip, “Recent developments in total variation image restoration,” in Mathematical Models of Computer Vision. Berlin, Germany: Springer-Verlag, 2005. [10]. T. Chan, G. Golub, and P. Mulet, “A nonlinear primal- dual method for total variation-based image restoration,” SIAM J. Sci. Comput., vol. 20, pp. 1964–1977, 1999. BIOGRAPHIES Prof.A.Kanagaraj, received B.E degree from EEE department, Government college of Engineering Bargur under Anna University, and M.E degree from CSE department, Government college of Engineering Tirunelveli from Anna University, Tirunelveli. His current research interests include image enhancement and image denoising. Rejitha.R received B.Tech degree in computer Science and Engineering from Baselious Mathews II College of Engineering under Kerala University and M.E degree in Computer Science and Engineering from Sardar Raja College of Engineering, Tirunelveli under Anna University. Her current research includes image enhancement, denoising and high dynamic range image processing.