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Study of Qualitative and Quantitative Metric for Pixel Factor Mapping and Extended Pixel Mapping Method

Authors: Souvik Bhattacharyya, Indradip Banerjee, Gautam Sanyal


In this paper, an approach is presented to investigate the performance of Pixel Factor Mapping (PFM) and Extended PMM (Pixel Mapping Method) through the qualitative and quantitative approach. These methods are tested against a number of well-known image similarity metrics and statistical distribution techniques. The PFM has been performed in spatial domain as well as frequency domain and the Extended PMM has also been performed in spatial domain through large set of images available in the internet.

Keywords: Quantitative, Qualitative, PFM, EXTENDED PMM

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[1] Abbas Cheddad, Joan Condell, Kevin Curran, Paul Mc Kevitt, Digital image steganography: Survey and analysis of current methods Signal Processing 90, 2010, pp. 727– 752.
[2] Eskicioglu, A.M., Litwin, L. "Cryptography", Potentials, IEEE (Volume: 20, Issue: 1), Feb/Mar 2001, Page(s): 36 - 38, ISSN: 0278-6648
[3] Fu-Hau Hsu, Min-Hao Wu, Shiuh-Jeng Wang, "Dual-watermarking by QR-code Applications in Image Processing", 2012 9th International Conference on Ubiquitous Intelligence and Computing and 9th International Conference on Autonomic and Trusted Computing.
[4] Kaminsky, A., Kurdziel, M., Radziszowski, S. "An overview of cryptanalysis research for the advanced encryption standard", Military Communications Conference, 2010 - MILCOM 2010, San Jose, CA, Oct.31 2010-Nov.3 2010, Page(s): 1310 - 1316, ISSN: 2155-7578
[5] Wenjun Zeng; Liu, B."A statistical watermark detection technique without using original images for resolving rightful ownerships of digital images" Image Processing, IEEE Transactions on (Volume:8, Issue: 11), Nov 1999, Page(s):1534 - 1548, ISSN: 1057-7149.
[6] N.N. EL-Emam, “Hiding a large amount of data with high security using steganography algorithm,” Journal of Computer Science, vol. 3, no. 4, pp. 223-232, April 2007.
[7] Indradip Banerjee, Souvik Bhattacharyya and Gautam Sanyal, "Study and Analysis of Steganography with Pixel Factor Mapping (PFM) Method", International Journal of Application or Innovation in Engineering & Management (IJAIEM), Volume 2, Issue 8, August 2013.
[8] Indradip Banerjee, Souvik Bhattacharyya and Gautam Sanyal, "Robust image steganography with pixel factor mapping (PFM) technique", Computing for Sustainable Global Development (INDIACom), 2014 International Conference on 5-7 March 2014. Page(s): 692 - 698, Print ISBN: 978-93-80544-10-6. Publisher: IEEE Xplore Digital Library.
[9] Indradip Banerjee, Souvik Bhattacharyya and Gautam Sanyal. “Hiding & Analyzing Data in Image Using Extended PMM”. In Proceedings of Computational Intelligence: Modeling, Techniques and Applications (CIMTA- 2013), Kalyani University, Kalyani, West Bengal, India, September 27-28, 2013. Proceedings published in "Procedia Technology, Elsevier".
[10] Hossein Mehrannia & Alireza Pakgohar. "Using Easy Fit Software for Goodness-Of-Fit Test and Data Generation" International Journal of Mathematical Archive-5(1), 2014, Page: 118-124.
[11] Feller, William (1950). Introduction to Probability Theory and its Applications, Vol I. Wiley. p. 221. ISBN 0471257087
[12] Everitt, B.S. (2003) The Cambridge Dictionary of Statistics, CUP. ISBN 0-521-81099-X.
[13] Arulmozhi, G.; Statistics for Management, 2nd Edition, Tata McGraw-Hill Education, 2009, p. 458.
[14] Bland, J.M.; Altman, D.G. (1996). "Statistics notes: measurement error." (PDF). Bmj, 312(7047), 1654. Retrieved22 November 2013.
[15] Yuli Zhang, Huaiyu Wu, Lei Cheng (June 2012). Some new deformation formulas about variance and covariance. Proceedings of 4th International Conference on Modelling, Identification and Control (ICMIC2012). pp. 987–992.
[16] Broverman, Samuel A. (2001). Actex study manual, Course 1, Examination of the Society of Actuaries, Exam 1 of the Casualty Actuarial Society (2001 ed. ed.). Winsted, CT: Actex Publications. p. 104. ISBN 9781566983969. Retrieved 7 June 2014.
[17] Hyndman, Rob J; Fan, Yanan (November 1996). "Sample quantiles in statistical packages". American Statistician 50 (4): 361–365. doi:10.2307/2684934.
[18] George Woodbury (2001). An Introduction to Statistics. Cengage Learning. p. 74. ISBN 0534377556.
[19] Hippel, Paul T. von (2005). "Mean, Median, and Skew: Correcting a Textbook Rule". J. of Statistics Education 13 (2).
[20] Joanes, D. N.; Gill, C. A. (1998). "Comparing measures of sample skewness and kurtosis". Journal of the Royal Statistical Society (Series D): The Statistician 47 (1): 183–189.
[21] “The Mean Square Successive Difference” J. von Neumann, R. H. Kent, H. R. Bellinson and B. I. Hart; The Annals of Mathematical Statistics, Vol. 12, No. 2 (Jun., 1941), pp. 153-162.
[22] Yuli Zhang, Huaiyu Wu,Lei Cheng (June 2012). Some new deformation formulas about variance and covariance. Proceedings of 4th International Conference on Modelling, Identification and Control (ICMIC2012). pp. 987–992.
[23] "Academician Andrei Nikolaevich Kolmogorov (obituary)". Russian Mathematical Surveys 43: 1–9. 1988.
[24] Given, Lisa M. (2008). The Sage encyclopedia of qualitative research methods. Los Angeles, Calif.: Sage Publications. ISBN 1-4129-4163-6.
[25] Yusra A. Y. Al-Najjar, Dr. Der Chen Soong, "Comparison of Image Quality Assessment: PSNR, HVS, SSIM, UIQI", International Journal of Scientific & Engineering Research, Volume 3, Issue 8, August-2012 ISSN 2229-5518
[26] a. L. M. Jean-Bernard Martens, "Image dissimilarity", Signal Processing, vol. 70, no. 3, pp. 155-176, 1998.
[27] J.L. Rodgers, J.L. and W.A. Nicewander, "Thirteen Ways to Look at the Correlation Coefficient", American Statistician 42, 59-66 (1995).
[28] Lehmann, E. L.; Casella, George (1998). Theory of Point Estimation (2nd ed.). New York: Springer. ISBN 0-387-98502-6.
[29] A. A. C. B. Zhou Wang, "A Universal Image Quality Index," IEEE Signal Processing Letters, vol. 9, pp. 81-84, 2002.
[30] Pedro J. Moreno, Purdy Ho, Nuno Vasconcelos "A Kullback-Leibler Divergence Based Kernel for SVM Classification in Multimedia Applications" Conference: Neural Information Processing Systems - NIPS, 2003
[31] Pieter-Tjerk De Boer, Dirk P. Kroese, Shie Mannor, Reuven Y. Rubinstein. "A tutorial on the cross-entropy method." Annals of operations research of Springer Science + Business Media, Inc. Manufactured in The Netherlands. 134.1 (2005): 19-67.