Abstract
Four digital watermarking techniques (image watermarking using curvelet transform (WCT), watermark wavelets in curvelets of cover image (WWCT), resized watermark into curvelets of cover image (RWCT), resized watermark wavelets into curvelets of cover image (RWWCT)) based on curvelet transform are discussed in this chapter. In WCT both the embedding and extraction procedures are discussed, where the watermark is embedded into the curvelets of the color cover image. In WWCT the wavelets of watermark are obtained. These wavelets are embedded into the color image curvelets. In RWCT the watermark is resized based on magic square technique and then embedded into the color image curvelets. In RWWCT the resized watermark obtained through the magic square procedure is transformed through wavelet transformation and then the wavelets are embedded into the curvelets of the cover image. The results indicate that the embedding and extraction procedures of WWCT and RWWCT are much superior to WCT and RWCT. The regeneration of watermark image is satisfactory, but lossy.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Tao Xie, “An evolutionary algorithm for magic squares”, The 2003 congress on Evolutionary Computation, Vol. 2, 2003, pp. 906–913
http://www-history.mcs.st-and.ac.uk/Biographies/Daubechies.html
David L. Donoho & Ana Georgina Flesia, “Digital Ridgelet Transform based on True Ridge Functions”, International Journal of Studies in Computational Mathematics, Vol. 10, 2003, pp. 1–30
Jean-Luc Starck, Emmanuel J. Candès & David L. Donoho, “The Curvelet Transform for Image Denoising”, IEEE Transactions on Image Processing, Vol. 11, No. 6, 2002, pp. 670-684
William Symes Andrews, Lorraine Screven Frierson, Charles Albert Browne, “Magic Squares and Cubes”, Chicago, IL: Open court publish company, 1908.
Huang Hui-fen, “Perceptual Image Watermarking Algorithm Based on Magic Squares Scrambling in DWT”, 5th International Joint conference on INC, IMS, IDC, 2009, pp. 1819-1822
Chune Zhang, L. L. Cheng, Zhengding Qiu, and L. M. Cheng, “Multipurpose Watermarking Based on Multiscale Curvelet Transform”, IEEE Transactions on Information Forensics and Security, Dec 2008, Vol. 3, No. 4, pp. 611-619.
Yuancheng Li, “An Image Digital Watermarking Method Based On Ridgelet and KICA”, International Conference on MultiMedia and Information Technology (MMIT), 2008, pp. 345-348
Patrizio Campisi, Deepa Kundur & Alessandro Neri, “Robust Digital Watermarking in the Ridgelet Domain”, IEEE Signal Processing Letters, Vol. 11, No. 10, 2004, pp. 826-830
B.A. Wandell, “Foundations of Vision”, Sunderland, MA, Sinauer Associates, 1995.
Channapragada R. S. R. & Munaga V. N. K. Prasad, “Digital Watermarking Based on Magic Square and Ridgelet Transform Techniques”, Intelligent Computing, Networking, and Informatics (International Conference on Advanced Computing, Networking and Informatics-Advances in Intelligent Systems and Computing), Vol. 243, 2014, pp. 143-161.
Channapragada R. S. R. & Munaga V. N. K. Prasad, “Watermarking Techniques in Curvelet Domain”, International Conference on Computational Intelligence in Data Mining, Vol. 1, 2014, pp. 199-211.
G. Bhatnagar, B. Raman & Q.M.J. Wu, “Robust watermarking using fractional wavelet packet transform”, IET Image Processing, Vol. 6, Issue. 4, 2012, pp. 386–397
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 The Author(s)
About this chapter
Cite this chapter
Rao, C.R.S., Prasad, M.V.N.K. (2016). Color Image Watermarking Techniques Based on Magic Square and Curvelets. In: Digital Watermarking Techniques in Curvelet and Ridgelet Domain. SpringerBriefs in Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-319-32951-2_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-32951-2_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-32950-5
Online ISBN: 978-3-319-32951-2
eBook Packages: Computer ScienceComputer Science (R0)