International Journal of Computer Engineering and Applications, Volume XI, Issue IX, September 17, ISSN

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Gopika S 1, D. Malathi 2 1 Department of Computer Science, SRM University, Chennai ABSTRACT: Human society always demands for a tool that helps in analyzing the quality of the visual content getting transferred in the internetwork. This paper aims in analyzing the visual quality of NSS images by means of statistical analysis. Mathematical processing is done on the image and results reveal the quality value possessed by the given image. Objective analysis is then compared with subjective score to state the versatility of the method. Images from LIVE dataset is taken for experiment. Keywords: MSCN ; Gaussian distribution; Quality Assessment; distortion. [1] INTRODUCTION A huge bulk of visual data like images and videos are getting transferred from one hand to another hand through one device to another device in every unit of time. Any form of manipulation happening to the image reduces the visual quality of image. Interest in the measurement of visual quality can be dated back to times when interest in quality assessment was primarily based on display applications.but as time progressed and so did the prevalence of imaging in multifarious applications, Quality got defined in different ways depending on application for which it was defined. Image acquisition engineers focused on imaging system aspects when they gauged quality; printer engineers focused on tone, color assessment and fundamental printing attributes, such as area and line quality. The scope of our current work is mainly on digital multimedia applications targeted for entertainment applications. Image quality assessment tries to quantify a visual quality or, analogically, an amount of distortion in a given picture. The most appropriate method to analyze quality is by subjective Gopika S and Dr. D Malathi 1

assessment. But that is not always possible because of its expensive and time consuming nature. The demand of the hour is to develop a fair image quality assessment method that evaluates the quality of the perceived images. Quality assessment(qa) algorithms are generally classified as (1) full reference (FR), (2) reduced-reference (RR), and (3) no-reference (NR) algorithms. FR QA algorithms assume that apart from distorted stimulus whose quality needs to be judged, a pristine reference stimulus is also available to the algorithm to be compared with RR QA algorithms assume that some auxiliary information about the reference stimulus is available to the algorithm, even though the actual reference stimulus itself in unprocurable. NR QA algorithms seek to find quality of distorted stimulus with no information about its pristine counterpart. Such an assessment of visual quality, also called A huge bulk of visual data like images and videos are getting transferred from one hand to another hand through one device to another device in every unit of time. Any form of manipulation happening to the image reduces the visual quality of image. Interest in the measurement of visual quality can be dated back to times when interest in quality assessment was primarily based on display applications.but as time progressed and so did the prevalence of imaging in multifarious applications, Quality got defined in different ways depending on application for which it was defined. Image acquisition engineers focused on imaging system aspects when they gauged quality; printer engineers focused on tone, color assessment and fundamental printing attributes, such as area and line quality. The scope of our current work is mainly on digital multimedia applications targeted for entertainment applications. Image quality assessment tries to quantify a visual quality or, analogically, an amount of distortion in a given picture. The most appropriate method to analyze quality is by subjective assessment. But that is not always possible because of its expensive and time consuming nature. The demand of the hour is to develop a fair image quality assessment method that evaluates the quality of the perceived images. Quality assessment(qa) algorithms are generally classified as (1) full reference (FR), (2) reduced-reference (RR), and (3) no-reference (NR) algorithms. FR QA algorithms assume that apart from distorted stimulus whose quality needs to be judged, a pristine reference stimulus is also available to the algorithm to be compared with RR QA algorithms assume that some auxiliary information about the reference stimulus is available to the algorithm, even though the actual reference stimulus itself in unprocurable. NR QA algorithms seek to find quality of distorted stimulus with no information about its pristine counterpart. Such an assessment of visual quality, also called blind image quality assessment, is the main part of our proposed work. Our work is mainly in the domain NSS- Natural Scene Statistics. Nature scenes form a tiny set of all possible images, and its properties have been studied by a lot of researchers in the past few years [5-6]. The fundamental philosophy of NSS based NR-IQA is that all original images are natural, the distortion process disrupt this naturalness and make images seem unnatural. Also natural images are highly non-random with interdependencies within them The method of quality assessment collects and quantifies this unnaturalness and that forms the basis of the proposed method. Gopika S and Dr. D Malathi 2

[2] LITERATURE SURVEY Earlier work in BIQA was based on knowledge of the type of distortion happened to the image and then, as developments happened, the distortion detecting algorithm determined the type of distortion and based on that, quality was assessed [6],[7]. Recently, techniques have been established to directly plot features in images to quality scores without distinguishing the types of distortion. For example, the method BLIINDS and BLIINDS-II developed by Saad et al. using NSS. Li et al. [4] used a regression network to degenerate the image features to quality scores. Quality Assessment Based on DCT: Michele Saad, Alan C. Bovik, Christophe Charrier developed a method called by the name BLIINDS [2] to effectively assess quality in Natural Scene Statistics (NSS). The algorithm relies on Discrete Cosine Transform (DCT) for feature extraction. The local DCT contrast value is calculated and is used for determining the distortion. The histogram pattern of distorted images exhibits a higher peak at 0' and the variance value also gets transformed accordingly. Anush Krishna Moorthy and Alan C. Bovik [4] in 2011 devised a method for blind image quality assessment using wavelet transform coefficients (DIIVINE). Here a loose wavelet transform is applied on to the image and the scale-space-orientation of the image is noted. They supply a set of statistical features and they are stacked to form a vector. Using this feature vector, the distortion type is determined and the quality score is calculated. Here, a regression model is developed for each distortion category and mapping is done from distortion to quality value.. In 2013, Xinbo Gao and Xuedong Li successfully implemented a method of Image Quality Analysis by multiple Kernel Learning. The authors have used the secondary and tertiary properties of wavelet transform to get the features of NSS images. Secondary properties of Wavelet transform gives Non-Gaussianity, Clustering and Persistency. Tertiary properties give Exponential Decay Characteristics (EDC) and strong persistency at finer scales. The marginal distribution of wavelet coefficients was used in the creation of feature vector. The histogram of wavelet coefficients in different sub bands was calculated and all those were collected to get the long feature vector. [3] PROPOSED METHOD Most of the existing quality assessment methods concentrate on mapping the image domain from spatial to another and doing processing on that. We are processing in spatial domain since we consider that the visual cortex of human beings responds well in the spatial domain. The normalized luminance value of the image offers a good knowledge about the amount of distortion happened to the image and also the amount of naturalness presented in the image under consideration. In this paper, we examine the quality of an NSS image by inspecting the normalized luminance value [7] and then the pairwise product of these coefficients are modeled to compute the quality score. We then compare and demonstrate how the statistical features obtained from the image can represent quality and that the representation confirms well with human perception of quality. Gopika S and Dr. D Malathi 3

Finding the normalized luminance : Given a (possibly distorted) image, we compute locally normalized luminance via local mean subtraction and divisive normalization. Ruderman [6]observed that applying a local non-linear operation to log-contrast luminance to remove local mean displacements from zero log-contrast and to normalize the local variance of the log-contrast has a de-correlating effect. Such an operation may be applied to a given intensity image I (i, j) to produce: I(i,j) =( I(I,j)-µ(I,j))/σ(I,j)+C (1) Where i and j are spatial indices and i=1,2,..m and n=1,2, N. µ(i,j) represents the mean and σ(i,j) represents the variance. Observations have shown that these normalized luminance values depicts a unit Gaussian distribution in the absence of any distortion for NSS images. These normalized luminance values are also termed as Mean Subtracted Contrast Normalized values (MSCN)[5]. Our experiments are based on the theory that the MSCN coefficients have characteristic statistical properties that are changed by the presence of distortion, and that quantifying these changes will make it possible to predict the type of distortion affecting an image as well as its perceptual quality. In order to visualize how the MSCN coefficient distributions vary as a function of distortion, the coefficient values were plotted for an undistorted pristine image and on a distorted low quality image. The MSCN coefficients clearly shows the distinction between a good quality undistorted natural image and a low quality distorted image (Fig 1 ).The shape of the curve is perfectly Gaussian for an undistorted NSS image and is exhibiting variations in its distorted version. For each type of distortion the shape of the curve changes in its own characteristic way. Fig. 1. Undistorted original NSS image Fig. 2. Two Low Quality version (by high and medium white noise) Probabili Fig3: The distribution of MSCN coefficients of Fig 1 and Fig 2. Gopika S and Dr. D Malathi 4

Even though fig 1(a) and(c) does not show much difference in human perception, the MSCN coefficients clearly shows the noise effect by means of difference in shape. By analysing the MSCN coefficients, it is clear that each of the different kinds of distortion affect the shape of the curve in a different way. The shape parameter α controls the shape of the distribution while σ 2 control the variance. The shape parameter α also denotes the rate of decay: the smaller α, the more peaked is the distribution, and the larger α, the flatter is the distribution, so it is also called as the decay rate. For NSS images, there exists a statistical relationship [10]between neighbouring pixels and these dependencies gets disturbed in the presence of distortion or noise. By analysing shape of the MSCN curve, the type of distortion and the amount of distortion can be the quantized[6][7]. A more detailed inference can be obtained by analysing the histogram of luminance values of neighboring pixels. In the absence of distortion, the distribution of neighboring pixels take a perfect Gaussian curve and the presence of distortions deviates the shape of curve in its own characteristic way[6]. If we could compute the distortion affecting the image, repair action can be done to rectify or reduce the distortion. Popular methods like denoising, deblurring, deblocking or deringing can be applied. Fig 4: An undistorted image,its MSCN plot and relationship between neighboring pixels shown by histogram. Gopika S and Dr. D Malathi 5

Fig 5: A highly distorted version of fig4,its MSCN plot and relationship between neighboring pixels Fig 6:An undistorted image, its MSCN plot and relationship between neighbouring pixels. Gopika S and Dr. D Malathi 6

Fig 7:A moderately distorted version of image, its MSCN plot and relationship between neighbouring pixels. As stated, for NSS images, there exists a statistical relationship between neighbouring pixels and these dependencies gets disturbed in the presence of distortion. We can model this by computing the pairwise products of neighboring MSCN coefficients along four orientations horizontal (H), vertical (V), main-diagonal (D1) and secondary diagonal (D2). for i {1, 2... M} and j {1, 2... N}. To observe the variation, we plot histograms of paired products along each of four orientations. The shape parameter and deviation can be extracted and proper analysis of the same helps in detecting the type of distortion affecting the image [8]. [4] RESULT ANALYSIS Proper examination of the MSCN plot indicates that an undistorted image gives a perfect Gaussian curve and an unskewed peak value for neighboring pixel value plot in the range of mean 0. For experiment, the images are taken from LIVE IQA[5] dataset. It consist of a wide variety of NSS images and distorted versions of the same with different ranges of distortion. Gopika S and Dr. D Malathi 7

Fig 8: Histogram of MSCN coefficients for a natural undistorted image and its various distorted versions. Distortions from the LIVE IQA[5] database.jp2k: JPEG2000. jpeg: JPEG compression. WN: additive white Gaussian noise. blur: Gaussian blur. ff: Rayleigh fast-fading channel simulation. [5] CONCLUSION A study on the set of image characteristics and its variations in distorted and undistorted images were done. The image domain taken is NSS since it is proven to possess certain characteristics that other image domains does not support. The study and implementation was done in LIVE 2008 dataset and the observations were conforming well to human opinion. Hence the changeability of the topic is well acknowledged. The work can be expanded by including measures for repairing or enhancing the quality of the image by applying algorithms for denoising or deblurring. Gopika S and Dr. D Malathi 8

REFERENCES [1] Daniel L Ruderman, University of Cambridge, The statistics of natural images Network: Computation in Neural Systems 5 (1994) 517-548. [2] D. L. Ruderman, The statistics of natural images, Network Computation in Neural Systems, vol. 5, no. 4, pp. 517 548, 1996. [3] H. R. Sheikh, Z. Wang, L. Cormack, and A. C. Bovik, (2006), LIVE Image Quality Assessment Database Release 2 [Online].Available: http://live.ece.utexas.edu/research/quality [4] TID2008 URL:http://ponomarenko,info/tid2008.htm [5] Michele A. Saad, Alan C. Bovik, and Christophe Charrier, A DCT Statistics-Based Blind Image Quality Index, IEEE Signal Processing Letters, vol. 17, no. 6, pp.583-586, June 2010. [6] K. Moorthy and A. C. Bovik, Blind image quality assessment: From natural scene statistics to perceptual quality, IEEE Transactions on Image Processing, vol. 20, no. 12, pp. 3350 3364, Dec 2011. [7] A. Mittal, A. K. Moorthy and A. C. Bovik, No-Reference Image Quality Assessment in the Spatial Domain, IEEE Transactions on Image Processing, vol. 21, no. 12, pp.4695-4078, Dec 2012. [8] ]Blind Image Quality Assessment: A Natural Scene Statistics Approach in the DCT Domain, IEEE TRANSACTIONS ON IMAGE PROCESSING, VOL. 21, NO. 8, AUGUST 2012 3339 Michele A. Saad, Student Member, IEEE, Alan C. Bovik,Fellow, IEEE, and Christophe Charrier, Member, IEEE [9] Anish Mittal, Rajiv Soundararajan and Alan C. Bovik, Making a Completely Blind Image Quality Analyzer, IEEE Signal Processing Letters, vol.20, Issue 3, pp.209-212, March 2013. [10] Xinbo Gao, Fei Gao, Dacheng Tao and Xuelong Li, Universal Blind Image Quality Assessment Metrics Via Natural Scene Statistics and Multiple Kernel Learning, IEEE transactions on neural networks and learning systems, vol. 24, no. 12, Dec 2013 [11] Anush Krishna Moorthyn, Anish Mittal, Alan Conrad Bovik, Perceptually optimized blind repair of natural images, LIVE, University of Texas,Elsevier - Signal Processing: Image Communication 28 (2013) 1478 1493 [12] Weilong Hou, Xinbo Gao, Dacheng Tao and Xuelong Li, Blind Image Quality Assessment via Deep Learning, IEEE transactions on neural networks and learning systems, vol. 26, no. 6, pp. 1275 1286, June 2015. [13] Qing Wang, Jiang Chu, A new blind Image Quality Framework based on NSS colour statistics, Elsevier Neuro Computing 2016 (1798-1810),China Gopika S and Dr. D Malathi 9