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N.Puviarasan et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 3( Version 1), March 2014, pp.248-253
www.ijera.com 248 | P a g e
Retrieval of Images Using Cascaded Features
N. Puviarasan*, Dr. R. Bhavani **
*(Associate Professor, Department of CSE, Annamalai University, Annamalainagar)
** (Professor, Department of CSE, Annamalai University, Annamalainagar)
ABSTRACT
Color and texture are important features of an image. Content-based image retrieval (CBIR) is a process to
retrieve similar images for a given query image from large image database. It is proposed to extract the features
using cascading method. In this paper, color features are extracted using the first order statistical features like
mean, standard deviation, energy, entropy, skewness and kurtosis of an image. After color feature extraction,
similarity measurement between query image and database images is done using city block distance (CBD),
Canberra distance (CD) and Minkowski distance (MD). The minimum distance top ranked 150 relevant images
are retrieved. Then, the five Haralick texture features are extracted only from this 150 images. Again, the same
similarity measurements are done. Top ranked relevant images are retrieved. In this study, the comparative work
of similarity measurements is also done. It is found that the Canberra distance gives better results to retrieve the
similar images.
Keywords - Color features, Haralick features, Canberra distance, Minkowski distance, City block distance
I. INTRODUCTION
The image retrieval system is to retrieve set
of images from the image database such that the
required images are retrieved. Image retrieval system
is divided into two types i) Text based image retrieval
ii) Content based image retrieval. In early days the
first was familiar. But, it is tedious because of
specifying manual annotations for each image. So, it
is slow and time-consuming process.
This problem is resolved using content-
based mage retrieval(CBIR). In CBIR there are two
phases. i) Feature extraction: Extracting features
called image signatures which identify the unique
nature of images using efficient methods ii)
Similarity measurement : Similarity measurement
between query images and images in the database is
done using distance metrics. Then, the closest
distance images are retrieved as the most relevant
images.
The first CBIR was QBIC [1]. A number of
general purposes CBIR have been developed since
then. They used different algorithms for their
softwares. PhotoBook [2], Virage [3], Visualseek [4],
Netra [5] and SIMPLIcity [6]. In [7] the features are
extracted using discrete cosine transform (DCT), fast
fourier transform (FFT). The similarity measurement
is found using Euclidean distance. It is mentioned
that FFT outperforms DCT. In [8], DCT features and
HSV color features are extracted. It is found that the
CBIR gives 70.07% of accuracy. In [9], the features
are extracted using DCT and DCT wavelet. The
sector size of 4,8,12 and 16 are used. For similarity
measurement, the Sum of absolute difference and
Euclidean distance are used.
In this paper[10], three color features like color
histogram, color coherence vector and color moments
are taken. Similarity measurement is done using
neural network method. This paper[11], used 2D dual
tree discrete wavelet transform as feature vector.
Fast Fourier Transform (FFT) and Hue and saturation
component of image of HSI color space are used as
feature vectors in [12]. This paper [13] use Golomb-
Rice coding, which codes the floating point of the
color histogram values and XOR bitwise operation is
used for similarity matching.
In this paper [14], combing method for
distance histogram and moment invariants are used as
feature vector. This paper [15] uses color average
mean technique for retrieval of images. Feature
extraction based on central tendency is proposed. In
[16], sectorization of DST transformed components is
used as feature vector. In this work addition of the
mean of zero and highest row components and mean
of zero and highest column components of column
transformed values are used
as feature vector.
In [17], contourlet transform features are
used to extract similar images from image database.
They also used combination of laplacian pyramid and
Directional Filter Bank (DFB) as feature vector and
found that contourlet transform gives better results.
Color and texture features are extracted using Walsh
wavelet. Prewitt, Canny and Sobel operators used to
extract shape features in [18].
In [19], Color moments are used for color
features and Gray level co-occurrence matrix
(GLCM) is used for texture features.
RESEARCH ARTICLE OPEN ACCESS
N.Puviarasan et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 3( Version 1), March 2014, pp.248-253
www.ijera.com 249 | P a g e
It is found that in the above literature,
cascaded features of first order statistical properties
and Haralick features are not considered. It is very
important to find the most similar images. To extract
maximum number of similar images, it is proposed to
perform cascading operations.
II. PROPOSED WORK
In this research work, after removal of noise
from the image, the first order statistical features of
image which signify the color features are extracted.
Similarity measurement between query image and
database images are done using City block distance
(CBD), Canberra distance (CD) and Minkowski
distance (MD). The minimum distance top ranked
150 images are retrieved. Next, the Haralick features
are extracted from 150 images only and it reduces the
computational time. Again, the same similarity
measurements are used to retrieve more similar
images
1.1 Preprocessing
The block diagram of proposed CBIR
system is shown in Figure 1.
Figure 1: Block diagram of proposed CBIR Method
In the process of noise removal, the median
filtering is used to remove the noise. By median
filtering, the value of an output pixel is determined
by the median of the neighborhood pixels.
III. METHODS AND MATERIALS
3.1 The statistics of images
Images in the database have definite statistics.
Such images fit a description of randomly generated
pixels. The different features of images are described
by the nth
order statistics. For example, the first order
statistics refer to the probability distribution of the
values of each pixel.
i.e intensity of pixel at different points. They refer to
the color features of the images.
3.2 First order statistics
First-order features (F1) are calculated from
the original image values. They do not consider the
relationships with neighbor pixels. Features derived
from this approach include moments such as mean,
standard deviation, energy, entropy, skewness and
kurtosis of an image Ii(x,y) with the size MxN. These
statistics are represented as
𝑚𝑒𝑎𝑛 𝜇 =
𝐼 𝑖
𝑁
𝑦=1
𝑀
𝑥=1 (𝑥,𝑦)
𝑀∗𝑁
(1)
𝑠𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝑑𝑒𝑣𝑖𝑎𝑡𝑖𝑜𝑛 𝜎 =
𝐼 𝑖 𝑥,𝑦 −𝜇𝑁
𝑦=1
𝑀
𝑥=1
𝑀∗𝑁
(2)
E𝑛𝑒𝑟𝑔𝑦 𝑒 =
1
𝑀𝑁
𝐼𝑖
2𝑁
𝑦=1
𝑀
𝑥=1 (𝑥, 𝑦) (3)
𝐸𝑛𝑡𝑟𝑜𝑝𝑦 =
1
𝑀𝑁
𝐼𝑖
𝑁
𝑦=1
𝑀
𝑥=1 𝑥, 𝑦 (− ln 𝐼𝑖 𝑥, 𝑦 )
(4)
𝑠𝑘𝑒𝑤𝑛𝑒𝑠𝑠 =
𝐼 𝑖 𝑥,𝑦 −𝜇3𝑁
𝑦=1
𝑀
𝑥=1
𝑀∗𝑁∗𝜎2 (5)
𝐾𝑢𝑟𝑡𝑜𝑠𝑖𝑠 =
𝐼 𝑖 𝑥,𝑦 −𝜇4𝑁
𝑦=1
𝑀
𝑥=1
𝑀∗𝑁∗𝜎4 (6)
IV. SIMILARITY MEASUREMENTS
4.1 City block distance
𝛿𝑑 = ( 𝑄𝑖 − 𝐷𝑖 )𝑛
𝑖=1 (7)
This distance is also called Manhattan
distance. This distance metric is computed using the
sum of absolute differences between two feature
vectors of images.
4.2 Canberra distance
The city block distance metric gives a large
value for the similar images which creates the
dissimilarity between similar images. Hence, each
feature vector pair is normalized by dividing it by the
sum of a pair of features.
𝛿𝑑 =
𝑄𝑖−𝐷𝑖
𝑄𝑖 + 𝐷𝑖
𝑛
𝑖=1 (8)
4.3 Minkowski distance
The Minkowski distance is calculated as
𝛿𝑑 = 𝑄𝑖 − 𝐷𝑖
𝑛
𝑖=1 𝑝
1
𝑝 (9)
where p is a positive integer. In this work p =3 is
considered.
where Q and D are the query feature vectors and
database feature vectors respectively[20].
After finding the similarity measurement, the
minimum distance top 150 image are ranked. Then,
to extract the Haralick texture features, the top 150
images are only considered.
N.Puviarasan et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 3( Version 1), March 2014, pp.248-253
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V. HARALICK TEXTUAL FEATURES
Gray-level co-occurrence matrix(GLCM)
gives the relative frequencies of occurrence of grey
level combinations among pairs of image pixels. This
matrix considers relationships of image pixels in
different directions, such as horizontal, vertical,
diagonal and anti-diagonal. Suppose the input image
has M and N pixels in the horizontal and vertical
directions respectively. Suppose that the grey level
appearing at each pixel is quantized to Z
levels, Assume Nx = 1,2,,3....M is a horizontal space
domain and Ny = 1,2,3,....N is a vertical space
domain and G = 0,1,2,...Z be the set of Z quantized
gray levels. [20] In a given distance (d) and direction
the GLCM is calculated using gray scale pixel i,j
expressed as the number of co-occurrence
matrix element as follows. The distance (d) can range
from 1 to 8 and each pixel has eight neighbouring
pixels denoting eight values. Theyare 0º, 45º , 90º ,
135º , 180º , 225º , 270º or 315º [21, 22]. In this
paper d = 1 and =90◦ are considered.
𝑃 𝑖, 𝑗 𝑑, 𝜽 =
𝑷 𝒊,𝒋 |𝒅,𝜽
𝑷(𝒊,𝒋|𝒅,𝜽)𝒋𝒊
(10)
Haralick proposed 14 kinds of GLCM parameters
[20] among which the following 5 parameters are
mainly used.
1) Moment of inertia (contrast)
𝐼 = 𝑖 − 𝑗 2
𝑗𝑖 𝑃(𝑖, 𝑗) (11)
Image contrast can be interpreted as the sharpness
of the image : the deeper grooves of the image
texture, the greater contrast is.
2) Energy:
𝐸 = [(𝑃(𝑖, 𝑗)]2
𝑗𝑖 (12)
Energy is the measure of gray distribution uniformity
of image. The coarser the texture is, the more energy
it contains
3) Entropy:
𝐸 = 𝑃 𝑖, 𝑗 𝑙𝑜𝑔𝑃(𝑖, 𝑗)𝑗𝑖 (13)
Entropy is a measure of the amount of information
of an image. Entropy relates to the texture
information. If there is no texture information, the
entropy is zero.
4) Correlation:
𝐶 = 𝑑, 𝜽 =
𝟏−µ 𝒙 𝒋−µ 𝒚 𝑷(𝒊,𝒋)𝒊,𝒋
𝝈 𝒙 𝝈 𝒚
(14)
Where
µ 𝑥
= 𝑖𝑃 𝑖, 𝑗 , µ 𝑦
=𝑗𝑖 𝑗𝑃(𝑖, 𝑗)𝑗𝑖 (15)
𝜎𝑥
2
= 𝑖 − µ 𝑥
2
𝑃 𝑖, 𝑗 ,𝑗𝑖 𝜎𝑦
2
= (𝑖 −𝑗𝑖
µ 𝑦
2
𝑃 𝑖, 𝑗 (16)
Correlation is used to measure the degree of
similarity of the elements in GLCM.
5) Homogeneity:
𝐻𝑜 =
𝑃(𝑖,𝑗 )
1+|𝑖−𝑗|𝑗𝑖 (17)
Homogeneity feature returns a value that measures
the closeness of the distribution of elements in the
GLCM to the GLCM diagonal.
VI. EXPERIMENTAL RESULTS
In this work, corel database consists of 1000
images are considered. It consists of 10 classes, each
class has 100 images. To measure the retrieval
effectiveness of the CBIR system 5 different query
images from each classes are used. It is tested for 50
query images. The query and database image
matching are done using different distance metrics
like City block distance, Canberra distance and
Minkowski distances. The minimum distance top
ranked 150 images only are considered for the
extraction of texture features. Then, again the same
image matching process is done for these texture
features. Finally, images are arranged in the order of
the lowest distances to highest distances.
If there are Ci classes in the total image
database where i = 1 to 10, then the query image in
particular class Cj is given. After CBIR process, the
relevant images of Cj and images from other Ci
classes are retrieved. In corel database, each class
consists of 100 images. If top Ti belongs to Cj then
all retrieved images are relevant images. Experiment
is done for different retrieved images and their
corresponding relevant images are found.
𝑃𝑟𝑒𝑐𝑖𝑠𝑖𝑜𝑛 =
𝑁𝑜.𝑜𝑓 𝑟𝑒𝑡𝑟𝑖𝑒𝑣𝑒𝑑 𝑟𝑒𝑙𝑒𝑣𝑎𝑛𝑡 𝑖𝑚𝑎𝑔𝑒𝑠 𝑜 𝑜𝑓 𝑐𝑙𝑎𝑠𝑠 𝐶 𝐽
𝑁𝑜.𝑜𝑓 𝑟𝑒𝑡𝑟𝑖𝑒𝑣𝑒𝑑 𝑖𝑚 𝑎𝑔𝑒𝑠 𝑜 𝑜𝑓 𝑐𝑙𝑎𝑠𝑠 𝐶 𝑗
(18)
𝑅𝑒𝑐𝑎𝑙𝑙 =
𝑁𝑜.𝑜𝑓 𝑟𝑒𝑡𝑟𝑖𝑒𝑣𝑒𝑑 𝑟𝑒𝑙𝑒𝑣𝑎𝑛𝑡 𝑖𝑚𝑎𝑔𝑒𝑠 𝑜 𝑜𝑓 𝑐𝑙𝑎𝑠𝑠 𝐶 𝑗
𝑁𝑜.𝑜𝑓 𝑟𝑒𝑙𝑒𝑣𝑎𝑛𝑡 𝑖𝑚𝑎𝑔𝑒𝑠 𝑜𝑓 𝑐𝑙𝑎𝑠𝑠 𝐶 𝐽
(19)
𝐴𝑐𝑐𝑢𝑟𝑎𝑐𝑦 =
𝑝𝑟𝑒𝑐𝑖𝑠𝑖𝑜𝑛 +𝑟𝑒𝑐𝑎𝑙𝑙
2
(20)
𝐹 − 𝑠𝑐𝑜𝑟𝑒 = 2 ∗
𝑝𝑟𝑒𝑐𝑖𝑠𝑖𝑜𝑛 ∗𝑟𝑒𝑐𝑎𝑙𝑙
𝑝𝑟𝑒𝑐𝑖𝑠𝑖𝑜𝑛 +𝑟𝑒𝑐𝑎𝑙𝑙
(21)
Figure 2 shows the sample images used as query
images. Figure 3 gives the Graphical user interface
(GUI) of the CBIR system developed for cascaded
features to retrieve the images.
N.Puviarasan et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 3( Version 1), March 2014, pp.248-253
www.ijera.com 251 | P a g e
Figure 2. Sample query images
Figure 3. GUI of proposed CBIR system
Figure 4 and Figure 5 show the accuracy and
F-score obtained by the different features like color
only, texture only and cascaded features of different
similarity measurement. It is observed that the
cascaded features using Canberra distance gives 84%
of accuracy and F-Score value as 75% in image
retrieval.
Figure 4. Accuracy of the different similarity
measurements
Figure 6 shows the output of the retrieved
images from the proposed CBIR system. Figure 7 to
Figure 9 show the crossover point of the precision
recall values of the cascaded features using city block
distance, Minkowski distance and Canberra
distances. Higher the cross over point better is the
performance[7].
Figure 5. F-Score of the different similarity
measurements
The cross over point of precision and recall
using Canberra distance is 0.45 whereas using city
block distance is 0.41 and using Minkowski is 0.40.
It is observed that the cascaded features using
Canberra distance gives better results.
Figure 6: Images retrieved using cascaded features
Figure 7: Average Precision Recall values of
cascaded features using city block distance.
N.Puviarasan et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 3( Version 1), March 2014, pp.248-253
www.ijera.com 252 | P a g e
Figure 8: Average Precision Recall values of
cascaded features using Minkowski distance.
Figure 9: Average Precision Recall values of
cascaded features using Canberra distance.
VII. CONCLUSION
In this paper, the six first order statistical
features which signify the color features of images
are used. Similar images are retrieved using different
distance metric like Canberra distance, city block
distance and Minkowski distance. Then, minimal
distance top ranked 150 images are only considered
for the extraction of texture features. Hence, it
reduces the computational time. It Again, the
similarity measurement is calculated using same
distance metrics. Thus, the features are extracted
using cascading approach. It is found that the
cascading features with Canberra distance gives
better results.
REFERENCES
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N.Puviarasan et al Int. Journal of Engineering Research and Applications www.ijera.com
ISSN : 2248-9622, Vol. 4, Issue 3( Version 1), March 2014, pp.248-253
www.ijera.com 253 | P a g e
[15] R.Malini, C.Vasanthanayaki, “An Enhanced
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[18] M.Rakhee, V.K. Govidan, Bajju Karun,
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[20] Fazal Malik, Baharum Baharudin,
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Mr.N.Puviarasan received M.S from
BITS Pilani and M.S(Software
systems) from Annamalai University.
He is working as Associate Professor
in the Dept. of Computer Science and
Engineering, Annamalai University.
His area of research is image processing. He has 25
years of experience in teaching. He is involved in
research activities for the past 7 years.
Dr.R.Bhavani received B.E and M.E
from NIT Trichy and Ph.D from
Annamalai University. She is working
as Professor in the Dept. of Computer
Science and Engineering, Annamalai
University. Her area of research is
image processing. She has 24 years of
experience in teaching. She has published 30 papers
in national and international journals.

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  • 1. N.Puviarasan et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 3( Version 1), March 2014, pp.248-253 www.ijera.com 248 | P a g e Retrieval of Images Using Cascaded Features N. Puviarasan*, Dr. R. Bhavani ** *(Associate Professor, Department of CSE, Annamalai University, Annamalainagar) ** (Professor, Department of CSE, Annamalai University, Annamalainagar) ABSTRACT Color and texture are important features of an image. Content-based image retrieval (CBIR) is a process to retrieve similar images for a given query image from large image database. It is proposed to extract the features using cascading method. In this paper, color features are extracted using the first order statistical features like mean, standard deviation, energy, entropy, skewness and kurtosis of an image. After color feature extraction, similarity measurement between query image and database images is done using city block distance (CBD), Canberra distance (CD) and Minkowski distance (MD). The minimum distance top ranked 150 relevant images are retrieved. Then, the five Haralick texture features are extracted only from this 150 images. Again, the same similarity measurements are done. Top ranked relevant images are retrieved. In this study, the comparative work of similarity measurements is also done. It is found that the Canberra distance gives better results to retrieve the similar images. Keywords - Color features, Haralick features, Canberra distance, Minkowski distance, City block distance I. INTRODUCTION The image retrieval system is to retrieve set of images from the image database such that the required images are retrieved. Image retrieval system is divided into two types i) Text based image retrieval ii) Content based image retrieval. In early days the first was familiar. But, it is tedious because of specifying manual annotations for each image. So, it is slow and time-consuming process. This problem is resolved using content- based mage retrieval(CBIR). In CBIR there are two phases. i) Feature extraction: Extracting features called image signatures which identify the unique nature of images using efficient methods ii) Similarity measurement : Similarity measurement between query images and images in the database is done using distance metrics. Then, the closest distance images are retrieved as the most relevant images. The first CBIR was QBIC [1]. A number of general purposes CBIR have been developed since then. They used different algorithms for their softwares. PhotoBook [2], Virage [3], Visualseek [4], Netra [5] and SIMPLIcity [6]. In [7] the features are extracted using discrete cosine transform (DCT), fast fourier transform (FFT). The similarity measurement is found using Euclidean distance. It is mentioned that FFT outperforms DCT. In [8], DCT features and HSV color features are extracted. It is found that the CBIR gives 70.07% of accuracy. In [9], the features are extracted using DCT and DCT wavelet. The sector size of 4,8,12 and 16 are used. For similarity measurement, the Sum of absolute difference and Euclidean distance are used. In this paper[10], three color features like color histogram, color coherence vector and color moments are taken. Similarity measurement is done using neural network method. This paper[11], used 2D dual tree discrete wavelet transform as feature vector. Fast Fourier Transform (FFT) and Hue and saturation component of image of HSI color space are used as feature vectors in [12]. This paper [13] use Golomb- Rice coding, which codes the floating point of the color histogram values and XOR bitwise operation is used for similarity matching. In this paper [14], combing method for distance histogram and moment invariants are used as feature vector. This paper [15] uses color average mean technique for retrieval of images. Feature extraction based on central tendency is proposed. In [16], sectorization of DST transformed components is used as feature vector. In this work addition of the mean of zero and highest row components and mean of zero and highest column components of column transformed values are used as feature vector. In [17], contourlet transform features are used to extract similar images from image database. They also used combination of laplacian pyramid and Directional Filter Bank (DFB) as feature vector and found that contourlet transform gives better results. Color and texture features are extracted using Walsh wavelet. Prewitt, Canny and Sobel operators used to extract shape features in [18]. In [19], Color moments are used for color features and Gray level co-occurrence matrix (GLCM) is used for texture features. RESEARCH ARTICLE OPEN ACCESS
  • 2. N.Puviarasan et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 3( Version 1), March 2014, pp.248-253 www.ijera.com 249 | P a g e It is found that in the above literature, cascaded features of first order statistical properties and Haralick features are not considered. It is very important to find the most similar images. To extract maximum number of similar images, it is proposed to perform cascading operations. II. PROPOSED WORK In this research work, after removal of noise from the image, the first order statistical features of image which signify the color features are extracted. Similarity measurement between query image and database images are done using City block distance (CBD), Canberra distance (CD) and Minkowski distance (MD). The minimum distance top ranked 150 images are retrieved. Next, the Haralick features are extracted from 150 images only and it reduces the computational time. Again, the same similarity measurements are used to retrieve more similar images 1.1 Preprocessing The block diagram of proposed CBIR system is shown in Figure 1. Figure 1: Block diagram of proposed CBIR Method In the process of noise removal, the median filtering is used to remove the noise. By median filtering, the value of an output pixel is determined by the median of the neighborhood pixels. III. METHODS AND MATERIALS 3.1 The statistics of images Images in the database have definite statistics. Such images fit a description of randomly generated pixels. The different features of images are described by the nth order statistics. For example, the first order statistics refer to the probability distribution of the values of each pixel. i.e intensity of pixel at different points. They refer to the color features of the images. 3.2 First order statistics First-order features (F1) are calculated from the original image values. They do not consider the relationships with neighbor pixels. Features derived from this approach include moments such as mean, standard deviation, energy, entropy, skewness and kurtosis of an image Ii(x,y) with the size MxN. These statistics are represented as 𝑚𝑒𝑎𝑛 𝜇 = 𝐼 𝑖 𝑁 𝑦=1 𝑀 𝑥=1 (𝑥,𝑦) 𝑀∗𝑁 (1) 𝑠𝑡𝑎𝑛𝑑𝑎𝑟𝑑 𝑑𝑒𝑣𝑖𝑎𝑡𝑖𝑜𝑛 𝜎 = 𝐼 𝑖 𝑥,𝑦 −𝜇𝑁 𝑦=1 𝑀 𝑥=1 𝑀∗𝑁 (2) E𝑛𝑒𝑟𝑔𝑦 𝑒 = 1 𝑀𝑁 𝐼𝑖 2𝑁 𝑦=1 𝑀 𝑥=1 (𝑥, 𝑦) (3) 𝐸𝑛𝑡𝑟𝑜𝑝𝑦 = 1 𝑀𝑁 𝐼𝑖 𝑁 𝑦=1 𝑀 𝑥=1 𝑥, 𝑦 (− ln 𝐼𝑖 𝑥, 𝑦 ) (4) 𝑠𝑘𝑒𝑤𝑛𝑒𝑠𝑠 = 𝐼 𝑖 𝑥,𝑦 −𝜇3𝑁 𝑦=1 𝑀 𝑥=1 𝑀∗𝑁∗𝜎2 (5) 𝐾𝑢𝑟𝑡𝑜𝑠𝑖𝑠 = 𝐼 𝑖 𝑥,𝑦 −𝜇4𝑁 𝑦=1 𝑀 𝑥=1 𝑀∗𝑁∗𝜎4 (6) IV. SIMILARITY MEASUREMENTS 4.1 City block distance 𝛿𝑑 = ( 𝑄𝑖 − 𝐷𝑖 )𝑛 𝑖=1 (7) This distance is also called Manhattan distance. This distance metric is computed using the sum of absolute differences between two feature vectors of images. 4.2 Canberra distance The city block distance metric gives a large value for the similar images which creates the dissimilarity between similar images. Hence, each feature vector pair is normalized by dividing it by the sum of a pair of features. 𝛿𝑑 = 𝑄𝑖−𝐷𝑖 𝑄𝑖 + 𝐷𝑖 𝑛 𝑖=1 (8) 4.3 Minkowski distance The Minkowski distance is calculated as 𝛿𝑑 = 𝑄𝑖 − 𝐷𝑖 𝑛 𝑖=1 𝑝 1 𝑝 (9) where p is a positive integer. In this work p =3 is considered. where Q and D are the query feature vectors and database feature vectors respectively[20]. After finding the similarity measurement, the minimum distance top 150 image are ranked. Then, to extract the Haralick texture features, the top 150 images are only considered.
  • 3. N.Puviarasan et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 3( Version 1), March 2014, pp.248-253 www.ijera.com 250 | P a g e V. HARALICK TEXTUAL FEATURES Gray-level co-occurrence matrix(GLCM) gives the relative frequencies of occurrence of grey level combinations among pairs of image pixels. This matrix considers relationships of image pixels in different directions, such as horizontal, vertical, diagonal and anti-diagonal. Suppose the input image has M and N pixels in the horizontal and vertical directions respectively. Suppose that the grey level appearing at each pixel is quantized to Z levels, Assume Nx = 1,2,,3....M is a horizontal space domain and Ny = 1,2,3,....N is a vertical space domain and G = 0,1,2,...Z be the set of Z quantized gray levels. [20] In a given distance (d) and direction the GLCM is calculated using gray scale pixel i,j expressed as the number of co-occurrence matrix element as follows. The distance (d) can range from 1 to 8 and each pixel has eight neighbouring pixels denoting eight values. Theyare 0º, 45º , 90º , 135º , 180º , 225º , 270º or 315º [21, 22]. In this paper d = 1 and =90◦ are considered. 𝑃 𝑖, 𝑗 𝑑, 𝜽 = 𝑷 𝒊,𝒋 |𝒅,𝜽 𝑷(𝒊,𝒋|𝒅,𝜽)𝒋𝒊 (10) Haralick proposed 14 kinds of GLCM parameters [20] among which the following 5 parameters are mainly used. 1) Moment of inertia (contrast) 𝐼 = 𝑖 − 𝑗 2 𝑗𝑖 𝑃(𝑖, 𝑗) (11) Image contrast can be interpreted as the sharpness of the image : the deeper grooves of the image texture, the greater contrast is. 2) Energy: 𝐸 = [(𝑃(𝑖, 𝑗)]2 𝑗𝑖 (12) Energy is the measure of gray distribution uniformity of image. The coarser the texture is, the more energy it contains 3) Entropy: 𝐸 = 𝑃 𝑖, 𝑗 𝑙𝑜𝑔𝑃(𝑖, 𝑗)𝑗𝑖 (13) Entropy is a measure of the amount of information of an image. Entropy relates to the texture information. If there is no texture information, the entropy is zero. 4) Correlation: 𝐶 = 𝑑, 𝜽 = 𝟏−µ 𝒙 𝒋−µ 𝒚 𝑷(𝒊,𝒋)𝒊,𝒋 𝝈 𝒙 𝝈 𝒚 (14) Where µ 𝑥 = 𝑖𝑃 𝑖, 𝑗 , µ 𝑦 =𝑗𝑖 𝑗𝑃(𝑖, 𝑗)𝑗𝑖 (15) 𝜎𝑥 2 = 𝑖 − µ 𝑥 2 𝑃 𝑖, 𝑗 ,𝑗𝑖 𝜎𝑦 2 = (𝑖 −𝑗𝑖 µ 𝑦 2 𝑃 𝑖, 𝑗 (16) Correlation is used to measure the degree of similarity of the elements in GLCM. 5) Homogeneity: 𝐻𝑜 = 𝑃(𝑖,𝑗 ) 1+|𝑖−𝑗|𝑗𝑖 (17) Homogeneity feature returns a value that measures the closeness of the distribution of elements in the GLCM to the GLCM diagonal. VI. EXPERIMENTAL RESULTS In this work, corel database consists of 1000 images are considered. It consists of 10 classes, each class has 100 images. To measure the retrieval effectiveness of the CBIR system 5 different query images from each classes are used. It is tested for 50 query images. The query and database image matching are done using different distance metrics like City block distance, Canberra distance and Minkowski distances. The minimum distance top ranked 150 images only are considered for the extraction of texture features. Then, again the same image matching process is done for these texture features. Finally, images are arranged in the order of the lowest distances to highest distances. If there are Ci classes in the total image database where i = 1 to 10, then the query image in particular class Cj is given. After CBIR process, the relevant images of Cj and images from other Ci classes are retrieved. In corel database, each class consists of 100 images. If top Ti belongs to Cj then all retrieved images are relevant images. Experiment is done for different retrieved images and their corresponding relevant images are found. 𝑃𝑟𝑒𝑐𝑖𝑠𝑖𝑜𝑛 = 𝑁𝑜.𝑜𝑓 𝑟𝑒𝑡𝑟𝑖𝑒𝑣𝑒𝑑 𝑟𝑒𝑙𝑒𝑣𝑎𝑛𝑡 𝑖𝑚𝑎𝑔𝑒𝑠 𝑜 𝑜𝑓 𝑐𝑙𝑎𝑠𝑠 𝐶 𝐽 𝑁𝑜.𝑜𝑓 𝑟𝑒𝑡𝑟𝑖𝑒𝑣𝑒𝑑 𝑖𝑚 𝑎𝑔𝑒𝑠 𝑜 𝑜𝑓 𝑐𝑙𝑎𝑠𝑠 𝐶 𝑗 (18) 𝑅𝑒𝑐𝑎𝑙𝑙 = 𝑁𝑜.𝑜𝑓 𝑟𝑒𝑡𝑟𝑖𝑒𝑣𝑒𝑑 𝑟𝑒𝑙𝑒𝑣𝑎𝑛𝑡 𝑖𝑚𝑎𝑔𝑒𝑠 𝑜 𝑜𝑓 𝑐𝑙𝑎𝑠𝑠 𝐶 𝑗 𝑁𝑜.𝑜𝑓 𝑟𝑒𝑙𝑒𝑣𝑎𝑛𝑡 𝑖𝑚𝑎𝑔𝑒𝑠 𝑜𝑓 𝑐𝑙𝑎𝑠𝑠 𝐶 𝐽 (19) 𝐴𝑐𝑐𝑢𝑟𝑎𝑐𝑦 = 𝑝𝑟𝑒𝑐𝑖𝑠𝑖𝑜𝑛 +𝑟𝑒𝑐𝑎𝑙𝑙 2 (20) 𝐹 − 𝑠𝑐𝑜𝑟𝑒 = 2 ∗ 𝑝𝑟𝑒𝑐𝑖𝑠𝑖𝑜𝑛 ∗𝑟𝑒𝑐𝑎𝑙𝑙 𝑝𝑟𝑒𝑐𝑖𝑠𝑖𝑜𝑛 +𝑟𝑒𝑐𝑎𝑙𝑙 (21) Figure 2 shows the sample images used as query images. Figure 3 gives the Graphical user interface (GUI) of the CBIR system developed for cascaded features to retrieve the images.
  • 4. N.Puviarasan et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 3( Version 1), March 2014, pp.248-253 www.ijera.com 251 | P a g e Figure 2. Sample query images Figure 3. GUI of proposed CBIR system Figure 4 and Figure 5 show the accuracy and F-score obtained by the different features like color only, texture only and cascaded features of different similarity measurement. It is observed that the cascaded features using Canberra distance gives 84% of accuracy and F-Score value as 75% in image retrieval. Figure 4. Accuracy of the different similarity measurements Figure 6 shows the output of the retrieved images from the proposed CBIR system. Figure 7 to Figure 9 show the crossover point of the precision recall values of the cascaded features using city block distance, Minkowski distance and Canberra distances. Higher the cross over point better is the performance[7]. Figure 5. F-Score of the different similarity measurements The cross over point of precision and recall using Canberra distance is 0.45 whereas using city block distance is 0.41 and using Minkowski is 0.40. It is observed that the cascaded features using Canberra distance gives better results. Figure 6: Images retrieved using cascaded features Figure 7: Average Precision Recall values of cascaded features using city block distance.
  • 5. N.Puviarasan et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 3( Version 1), March 2014, pp.248-253 www.ijera.com 252 | P a g e Figure 8: Average Precision Recall values of cascaded features using Minkowski distance. Figure 9: Average Precision Recall values of cascaded features using Canberra distance. VII. CONCLUSION In this paper, the six first order statistical features which signify the color features of images are used. Similar images are retrieved using different distance metric like Canberra distance, city block distance and Minkowski distance. Then, minimal distance top ranked 150 images are only considered for the extraction of texture features. Hence, it reduces the computational time. It Again, the similarity measurement is calculated using same distance metrics. Thus, the features are extracted using cascading approach. It is found that the cascading features with Canberra distance gives better results. REFERENCES [1] W.Nilback, et.al, “The qbic project: querying im- ages by content using color, texture and shape,” SPIE Proceedings on storage and Retrieval for image and video Databases, pp. 173–187, 1993. [2] A.Pentland, et.al, “Photobook : tools for content based image retrieval,” International Journal of Computer Vision, vol. 18, no. 3, pp. 233–254, 1996. [3] A. Gupta, R.Jain, “Visual information retrieval” Communications of the ACM, vol. 40, no. 5, pp.70–79, 1997. [4] J.R.Smith,S.F.Chang, “Visualseek: a fully auto mated CBIR query system,” Proceedings of Multi- media Conference, 1996. [5] W.Y.Ma, B.Manjunath, “Netra, a toolbox for navigating large image databases,” Proceedings of International conference on image Processing, , no.5, pp. 568–571, 1997. [6] J.Z.Wang, J.Li, G.Wiederhold, “Simplicity: Semantics-sensitive integrated matching for image libraries,” IEEE transaction on Pattern Mach. In- tell., vol. 23, no. 9, pp. 947–963, 2001. [7] Vibha Bhandari , Sandeep B.Patil, “Comparison of cbir techniques using dct and fft for feature vec- tor generation,” International Journal of Emerging Trends and Technology in Computer Science, vol.1, no. 4, pp. 90–96, 2012. [8] Anit Sharma, Gurpreet Singh, “Comparative study:Content based image retrieval using low level features,” International Journal of Engineering Re- search and Applications, vol. 3, no. 2, pp. 962–967,2013. [9] H.B.kekre, Dhirendra Mishra, “Performance comparison of sectorization of dct and dct wavelet transformed images in cbir,” International Jour- nal of Computer Applications, vol. 23, no. 4, pp.26–34, 2011. [10] Vrushali Yashwant Ernade, P.R. Badadapure, “ Content Based Image Retrieval using Neural Network”, International Journal of Scientific & Engineering Research, vol.4, no.8, pp. 571- 575 2013. [11] Sai, Patil, “Image Retrieval using 2D Dual- Tree Discrete Wavelet Transform”, International Journal of Computer Applications, vol. 14, no.6, pp. 1-7, 2011. [12] Nidhi Singh, Kanchan Singh, Ashok K.Siha, “ A Novel approach for Content Based Image Retrieval”, Procedia Technology (Elsevier), vol.4, pp.245-250, 2012. [13] Shaila S G, Vadivel A, “Block Encoding of Color Histogram for Content Based Image Retrieval Applications”, Procedia Technology (Elsevier), vol.6, pp.526-533, 2012. [14] Ke Lu, Ning He, Jian Xue, “Content-based similarity for 3D model retrieval and classification”, Journal of Progress in Natural Science (Elsevier) , vol.19, pp.495- 499, 2009.
  • 6. N.Puviarasan et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 3( Version 1), March 2014, pp.248-253 www.ijera.com 253 | P a g e [15] R.Malini, C.Vasanthanayaki, “An Enhanced Content Based Image Retrieval System using Color Features”, International Journal of Engineering and Computer Science, vol. 2, no.12, pp.3465-3471, 2013. [16] H . B . Kekre, Dhirendra Mishra, “Discrete Sine Transform Sectorization for Feature Vector Generation in CBIR”, Universal Journal of Computer Science and Engineering Technology, vol.1, no.1 pp.6-15, 2010. [17] Swapna Borde, Dr. Udhav Bhosle, “Image Retrieval using Contourlet Transform”, International Journal of Computer Applications, vol. 34, no.5, pp.37-43, 2011, [18] M.Rakhee, V.K. Govidan, Bajju Karun, “Enhancing the Precision of Walsh Wavelet Based approach for Color and Texture Extraction in CBIR by including a Shape Feature, Journal of Cybernetic and Information Technologies, vol.13, no.2, pp.97-105, 2013. [19] H.Mohamadi, A.Shahbahrami, J.Akbari, “Image retrieval using the combination of text-based and content-based algorithms,” International Journal of AI and Data mining, pp. 1–8, 2013. [20] Fazal Malik, Baharum Baharudin, “Analysis of Distance metrics in Content- based image retrieval using statistical quantized histogram texture features in DCT domain”, Journal of King Saud University, vol.25, no.2, pp.207-218, 2013. [21] R M Haralick, K.Shanmugam, “Texture feature for image classification,” IEEE Transactions on Systems, vol. SM-3, no. 6, pp. 768–780, 1973. [22] S.Selvarajah, S.R.Kodituwalku, “Analysis and Comparison of Texture features for Content Based Image Retrieval”, International Journal of Latest Trends in Computing, vol.2, no.1, pp.108-113, 2011. Mr.N.Puviarasan received M.S from BITS Pilani and M.S(Software systems) from Annamalai University. He is working as Associate Professor in the Dept. of Computer Science and Engineering, Annamalai University. His area of research is image processing. He has 25 years of experience in teaching. He is involved in research activities for the past 7 years. Dr.R.Bhavani received B.E and M.E from NIT Trichy and Ph.D from Annamalai University. She is working as Professor in the Dept. of Computer Science and Engineering, Annamalai University. Her area of research is image processing. She has 24 years of experience in teaching. She has published 30 papers in national and international journals.