A Technique to Evaluate Upper Bounds on Performance of Pixel–prediction Based Reversible Watermarking Algorithms

Reversible watermarking algorithms allow distortion–free recovery of the cover image after watermark extraction. Current state–of–the–art does not allow the prediction of the upper bounds of the embedding capacity and distortion characteristics of reversible watermarking algorithms for a given image. In this work, we develop a statistical modelling technique to derive closed form expressions for upper bounds on these performance metrics of pixel–prediction based reversible watermarking algorithms, independent of the actual algorithm used. Comparison of the derived metrics and performance trends with those obtained from two recently reported reversible watermarking algorithms show that the developed model is accurate and consistent.

[1]  David M. Miller,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[2]  Ingemar J. Cox,et al.  Digital Watermarking and Steganography , 2014 .

[3]  Irene A. Stegun,et al.  Handbook of Mathematical Functions. , 1966 .

[4]  J. Sobolewski Cyclic redundancy check , 2003 .

[5]  Chin-Chen Chang,et al.  Reversible Data Hiding Based on Histogram Modification of Pixel Differences , 2009, IEEE Transactions on Circuits and Systems for Video Technology.

[6]  Iuon-Chang Lin,et al.  Reversible Watermarking: Current Status and Key Issues , 2006, Int. J. Netw. Secur..

[7]  Jessica J. Fridrich,et al.  Lossless Data Embedding—New Paradigm in Digital Watermarking , 2002, EURASIP J. Adv. Signal Process..

[8]  Chin-Chen Chang,et al.  Multilevel reversible data hiding based on histogram modification of difference images , 2008, Pattern Recognit..

[9]  Christopher M. Bishop,et al.  Pattern Recognition and Machine Learning (Information Science and Statistics) , 2006 .

[10]  Chih-Jen Lin,et al.  Trust Region Newton Method for Logistic Regression , 2008, J. Mach. Learn. Res..

[11]  Yongjian Hu,et al.  DE-Based Reversible Data Hiding With Improved Overflow Location Map , 2009, IEEE Transactions on Circuits and Systems for Video Technology.

[12]  Rajat Subhra Chakraborty,et al.  Reversible watermarking utilising weighted median-based prediction , 2012 .

[13]  Kumar Parasuraman,et al.  Reversible image watermarking using interpolation technique , 2014, 2014 International Conference on Electronics, Communication and Computational Engineering (ICECCE).

[14]  Weiming Zhang,et al.  A Novel Reversible Data Hiding Scheme Based on Two-Dimensional Difference-Histogram Modification , 2013, IEEE Trans. Inf. Forensics Secur..

[15]  Jeho Nam,et al.  Reversible Watermarking Algorithm Using Sorting and Prediction , 2009, IEEE Transactions on Circuits and Systems for Video Technology.

[16]  Xiaolong Li,et al.  Efficient Generalized Integer Transform for Reversible Watermarking , 2010, IEEE Signal Processing Letters.

[17]  Daniel J. Costello,et al.  Error Control Coding, Second Edition , 2004 .

[18]  Ioan-Catalin Dragoi,et al.  Improved rhombus interpolation for reversible watermarking by difference expansion , 2012, 2012 Proceedings of the 20th European Signal Processing Conference (EUSIPCO).

[19]  Radford M. Neal Pattern Recognition and Machine Learning , 2007, Technometrics.

[20]  Christoph Busch,et al.  Integer DCT-based reversible watermarking for images using companding technique , 2004, IS&T/SPIE Electronic Imaging.