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A robust chaotic algorithm for digital image steganography
Institution:1. School of Mathematical Science, Dalian University of Technology, Dalian, Liaoning 116024, PR China;2. School of Energy and Engineering, Dalian University of Technology, Dalian, Liaoning 116024, PR China;3. School of Environmental and Biological Science and Technology, Dalian University of Technology, Dalian, Liaoning 116012, PR China;1. Institute of New Type Optoelectronic Materials and Technology, Guizhou University, Guiyang, Guizhou 550025, PR China;2. Department of Mathematics, Guizhou University, Guiyang, Guizhou 550025, PR China;3. School of Mathematics and Computer Science, Guizhou Normal College, Guiyang, Guizhou 550018, PR China;4. Department of Mathematics, Xiangnan University, Chenzhou, Hunan 423000, PR China;1. Faculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicz Avenue 30, 30059 Kraków, Poland;2. Mathematical Institute, Silesian University in Opava, Na Rybní?ku 1, 74601 Opava, Czech Republic;3. Subbotin Institute for Geophysics of NAS of Ukraine, Palladin Avenue 32, 03142 Kyiv, Ukraine
Abstract:This paper proposes a new robust chaotic algorithm for digital image steganography based on a 3-dimensional chaotic cat map and lifted discrete wavelet transforms. The irregular outputs of the cat map are used to embed a secret message in a digital cover image. Discrete wavelet transforms are used to provide robustness. Sweldens’ lifting scheme is applied to ensure integer-to-integer transforms, thus improving the robustness of the algorithm. The suggested scheme is fast, efficient and flexible. Empirical results are presented to showcase the satisfactory performance of our proposed steganographic scheme in terms of its effectiveness (imperceptibility and security) and feasibility. Comparison with some existing transform domain steganographic schemes is also presented.
Keywords:Steganography  Discrete wavelet transform  Lifting scheme  Chaos
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