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Application of the Chaotic Ergodicity of Standard Map in Image Encryption and Watermarking

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Author(s): Ruisong Ye | Huiqing Huang

Journal: International Journal of Image, Graphics and Signal Processing
ISSN 2074-9074

Volume: 2;
Issue: 1;
Start page: 19;
Date: 2010;
Original page

Keywords: Standard map | ergodicity | chaos | shuffling | watermarking

ABSTRACT
Thanks to the exceptionally good properties in chaotic systems, such as sensitivity to initial conditions and control parameters, pseudo-randomness and ergodicity, chaos-based image encryption algorithms have been widely studied and developed in recent years. Standard map is chaotic so that it can be employed to shuffle the positions of image pixels to get a totally visual difference from the original images. This paper proposes two novel schemes to shuffle digital images. Different from the conventional schemes based on Standard map, we disorder the pixel positions according to the orbits of the Standard map. The proposed shuffling schemes don’t need to discretize the Standard map and own more cipher leys compared with the conventional shuffling scheme based on the discretized Standard map. The shuffling schemes are applied to encrypt image and disorder the host image in watermarking scheme to enhance the robustness against attacks. Experimental results show that the proposed encryption scheme yields good secure effects. The watermarked images are robust against attacks as well.
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