An image encryption algorithm utilizing julia sets and hilbert curves.

An image encryption algorithm utilizing julia sets and hilbert curves.
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一种利用朱莉娅集和希尔伯特曲线的图像加密算法

DOI:
10.1371/journal.pone.0084655
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发表时间:
2014
期刊:
影响因子:
3.7
通讯作者:
Kong R
Kong R
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Sun Y;Chen L;Xu R;Kong R

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图像加密技术是保护图像安全的一种重要而有效的技术。提出了一种结合Julia集和Hilbert曲线的图像加密算法。该算法利用Julia集的参数生成一个随机序列作为初始密钥,通过Hilbert曲线对初始密钥进行置乱,得到最终的加密密钥。通过模运算和扩散运算得到最终的密码图像。在该方法中,它只需要几个参数的密钥生成,这大大减少了存储空间。此外,由于Julia集的性质,如无限性和混沌特性,即使是微小的扰动,密钥也具有很高的敏感性。实验结果表明,该算法具有密钥空间大、统计特性好、密钥敏感性高、能有效抵抗选择明文攻击等特点。
Image encryption is an important and effective technique to protect image security. In this paper, a novel image encryption algorithm combining Julia sets and Hilbert curves is proposed. The algorithm utilizes Julia sets’ parameters to generate a random sequence as the initial keys and gets the final encryption keys by scrambling the initial keys through the Hilbert curve. The final cipher image is obtained by modulo arithmetic and diffuse operation. In this method, it needs only a few parameters for the key generation, which greatly reduces the storage space. Moreover, because of the Julia sets’ properties, such as infiniteness and chaotic characteristics, the keys have high sensitivity even to a tiny perturbation. The experimental results indicate that the algorithm has large key space, good statistical property, high sensitivity for the keys, and effective resistance to the chosen-plaintext attack.
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