Encryption Image via Mutual Singular Value Decomposition

Image or document encryption is needed through egovernment
data base. Really in this paper we introduce two matrices
images, one is the public, and the second is the secret (original). The
analyses of each matrix is achieved using the transformation of
singular values decomposition. So each matrix is transformed or
analyzed to three matrices say row orthogonal basis, column
orthogonal basis, and spectral diagonal basis. Product of the two row
basis is calculated. Similarly the product of the two column basis is
achieved. Finally we transform or save the files of public, row
product and column product. In decryption stage, the original image
is deduced by mutual method of the three public files.

• Adil Al-Rammahi

• Image cryptography
• Singular values decomposition.

[1] N. EL Abbadi, A. AL-Rammahi, M. EL-Kufi “Image Encryption Based
On Singular Values Decomposition”, Science Publications, Journal Of
Computer Science 10(7), 2014, Pp.1222-1230.
[2] G. Bhatnagar, Q. Wu, B. Raman“A Novel Image Encryption
Framework Based on Markov Map and Singular Value
Decomposition”, Springer, Image analysis and recognition, Lecture
Notes in Computer Science, Volume 6754, 2011, pp 286-296.
[3] A. Abd El-Latif ; L. Li ; N. Wang ; Q. Li ; X. Niu “A New Image
Encryption Based On Chaotic Systems And Singular Values
Decomposition”, ProceedingsSPIE, Fourth International Conference on
Digital Image Processing May 1, 2012.
[4] A. Tafti&R. Maarefdoust “Digital Images Encryption in Spatial Domain
Based on Singular Value Decomposition and Cellular Automata”,
International Journal of Computer Science and Information
Security,Vol. 11, No. 4, April, 2013, pp. 121-125.
[5] M. Wang, W. Chen, “Digital image copyright protection scheme based
on visual cryptography and singular value decomposition”, Optical
Engineering Volume 46, Issue 6, May 2007,pp. 1-8.
[6] T. Rakotondraina& H. Razafindradina, “Authentication System
Securing Index of Image using SVD and ECC”, International Journal of
Computer Science and Network, Vol 2, Issue 1, 2013, pp. 76-78.
[7] B. Devi, K. Singh, S. Roy, “Dual Image Watermarking Scheme based on
Singular Value Decomposition and Visual Cryptography in Discrete Wavelet Transform”, International Journal of Computer Applications,
5(6), July 2012, PP.
[8] P. Singh & S. Agarwal, “A Visual Cryptography Based Watermarking
Scheme Incorporating the Concepts of Homogeneity Analysis and
Singular Value Decomposition”, International Journal of Computer
Applications Volume 80 , No 16, October 2013pp. 1-9.
[9] Y. Chanu, K Singh and T. Tuithung “Steganography Technique based
on SVD”, International Journal of Research in Engineering and
TechnologyVol. 1, No. 6, 2012 .pp.293-297.
[10] N. EL Abbadi, A. AL-Rammahi, M. ELnowany “Blind Fake Image
Detection”, International Journal of Computer Science Issues, Vol. 10,
Issue 4,No 1, July 2013, Pp.180-186.
[11] N. EL Abbadi, A. AL-Rammahi, M. EL-Kufi and D. Redha,“Image
Compression Based on SVD AND MPQ-BTC”, Science Publications,
Journal of Computer Science 10 (10), 2104, pp.2095-2104.
[12] B. Kolman, “Introductory linear algebra with applications ”,
Macmillanpublishing company, New Work, 11e, 2009 .
[13] G. H. Golub and C. F. van Loan, “Matrix Computations”, 3rd ed, The
Johns Hopkins University Press, Baltimore, 1996.
[14] A. Bovik, “The Essential Guide To Image Processing ”,Academicpress
publication, 2009.