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Color image encryption combining a reality-preserving fractional DCT with chaotic mapping in HSI space

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Abstract

A color image encryption algorithm by combining the reality-preserving fractional DCT (RPFrDCT) with chaotic mapping in HSI space is presented, in which the generating sequence (GS) is introduced and produced by 2D chaotic mapping to ensure the uniqueness of the transform matrix and enlarge the cipher key space of the encryption system. In addition, the color image is converted from standard RGB space into HSI space and the nonlinearity of the spatial transform makes the proposed encryption algorithm more secure than linear ones. Three components, namely H, S and I, are encrypted by the RPFrDCT with fractional orders and GS as cipher keys. Three-dimensional (3D) scrambling is adopted to further enhance the security of the encryption algorithm. The nonlinearity of the spatial transform from RGB to HSI, the real-valued output and the high cipher key-sensitivity guarantee the security and the feasibility of the proposed encryption algorithm. Experimental results demonstrate that the proposed encryption algorithm is sensitive to cipher keys and, to some extent, robust to noise and occlusion attacks.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (61262084 and 61462061), the Natural Science Foundation of Jiangxi Province (20122BAB201029) and the Science and Technology Program of Jiangxi Provincial Department of Education (GJJ14135).

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Authors and Affiliations

  1. School of Mechatronic Engineering, Nanchang University, Nanchang, 330031, China

    Yaru Liang & Guoping Liu

  2. Department of Electronic Information Engineering, Nanchang University, Nanchang, 330031, China

    Nanrun Zhou & Jianhua Wu

Authors
  1. Yaru Liang
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  2. Guoping Liu
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  3. Nanrun Zhou
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  4. Jianhua Wu
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Correspondence to Jianhua Wu.

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Liang, Y., Liu, G., Zhou, N. et al. Color image encryption combining a reality-preserving fractional DCT with chaotic mapping in HSI space. Multimed Tools Appl 75, 6605–6620 (2016). https://doi.org/10.1007/s11042-015-2592-7

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  • DOI: https://doi.org/10.1007/s11042-015-2592-7

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