Application of the Chaotic Ergodicity of Standard Map in Image Encryption and Watermarking
Application of the Chaotic Ergodicity of Standard Map in Image Encryption and Watermarking
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DOI：
10.5815/ijigsp.2010.01.03
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发表时间：
2010-11
期刊：
影响因子：
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通讯作者：
Ruisong Ye;Huiqing Huang
中科院分区：
文献类型：
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作者：
Ruisong Ye;Huiqing Huang
由于混沌系统具有对初始条件和控制参数的敏感性、伪随机性和遍历性等优良特性，近年来基于混沌的图像加密算法得到了广泛的研究和发展。标准映射具有混沌特性，可以用来对图像像素位置进行置乱，从而得到与原始图像完全不同的视觉效果。提出了两种新的数字图像混洗方案。与传统的基于标准图的方法不同，我们根据标准图的轨道对像素位置进行了排序。与传统的基于离散化标准映射的置乱方案相比，本文提出的置乱方案不需要离散化标准映射，并且具有更多的密码元。在水印算法中，将置乱技术应用于图像加密和宿主图像置乱，以增强水印的鲁棒性。实验结果表明，该加密方案具有良好的安全效果。水印图像对攻击也是鲁棒的。标准映射;遍历性;混沌;置乱;水印
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. Index Terms—Standard map; ergodicity; chaos; shuffling; watermarking