A steganographic method based on pixel-value differencing and the perfect square number. (English) Zbl 1271.94005

Tseng, Hsien-Wen; Leng, Hui-Shih

J. Appl. Math. 2013, Article ID 189706, 8 p. (2013).

Summary: The pixel-value differencing (PVD) scheme uses the difference value between two consecutive pixels in a block to determine how many secret bits should be embedded. There are two types of the quantization range table in Wu and Tasi’s method. The first was based on selecting the range widths of [8, 8, 16, 32, 64, 128], to provide large capacity. The second was based on selecting the range widths of [2, 2, 4, 4, 4, 8, 8, 16, 16, 32, 32, 64, 64], to provide high imperceptibility. Most of the related studies focus on increasing the capacity using LSB and the readjustment process, so their approach is too conformable to the LSB approach. There are very few studies focusing on the range table design. Besides, it is intuitive to design it by using the width of the power of two. This work designs a new quantization range table based on the perfect square number to decide the payload by the difference value between the consecutive pixels. Our research provides a new viewpoint that if we choose the proper width for each range and use the proposed method, we can obtain better image quantity and higher capacity. In addition, we offer a theoretical analysis to show our method is well defined. The experiment results also show the proposed scheme has better image quantity and higher capacity.

MSC:

94A08	Image processing (compression, reconstruction, etc.) in information and communication theory
68U10	Computing methodologies for image processing

References:

[1]	D.-C. Wu and W.-H. Tsai, “A steganographic method for images by pixel-value differencing,” Pattern Recognition Letters, vol. 24, no. 9-10, pp. 1613-1626, 2003. · Zbl 1048.68040
[2]	H. C. Wu, N. I. Wu, C. S. Tsai, and M. S. Huang, “Image steganographic scheme based on pixel-value differencing and LSB replacement methods,” IEE Proceedings Vision Image and Signal Processing, vol. 152, no. 5, pp. 611-615, 2005.
[3]	C. H. Yang and C. Y. Weng, “A steganographic method for digital images by multi-pixel differencing,” in Proceedings of International Computer Symposium, pp. 831-836, Taipei, Taiwan, 2006.
[4]	K.-H. Jung, K.-J. Ha, and K.-Y. Yoo, “Image data hiding method based on multi-pixel differencing and LSB substitution methods,” in Proceedings of International Conference on Convergence and Hybrid Information Technology (ICHIT ’08), pp. 355-358, kor, August 2008.
[5]	J.-C. Liu and M.-H. Shih, “Generalizations of pixel-value differencing steganography for data hiding in images,” Fundamenta Informaticae, vol. 83, no. 3, pp. 319-335, 2008. · Zbl 1147.68811
[6]	X. Liao, Q.-Y. Wen, and J. Zhang, “A steganographic method for digital images with four-pixel differencing and modified LSB substitution,” Journal of Visual Communication and Image Representation, vol. 22, no. 1, pp. 1-8, 2011. · Zbl 05890869
[7]	C.-H. Yang, C.-Y. Weng, H.-K. Tso, and S.-J. Wang, “A data hiding scheme using the varieties of pixel-value differencing in multimedia images,” Journal of Systems and Software, vol. 84, no. 4, pp. 669-678, 2011.
[8]	C. H. Yang, S. J. Wang, C. Y. Weng, and H. M. Sun, “Information hiding technique based on blocked PVD,” Journal of Information Management, vol. 15, no. 3, pp. 29-48, 2008.