Reversible Data Hiding in Encrypted 2D Vector Graphics Based on Reversible Mapping Model for Real Numbers

Reversible Data Hiding in Encrypted 2D Vector Graphics Based on Reversible Mapping Model for Real Numbers
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基于实数可逆映射模型的加密二维矢量图形的可逆数据隐藏

DOI:
10.1109/tifs.2019.2899520
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发表时间:
2019-02
影响因子:
6.8
通讯作者:
Min Long
Min Long
中科院分区:
计算机科学1区
文献类型:
--
作者:
Fei Peng;Zi-xing Lin;Xiang Zhang;Min Long

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目前,由于云存储的广泛部署,加密域中的可逆数据隐藏(RDH)受到了广泛关注。然而,几乎所有现有的加密域RDH方案都是针对光栅图像提出的,而很少有人对以真实的数字表示的二维矢量图形进行研究。本文首先建立了真实的数的可逆映射模型。它将<inline-formula><tex-math notation="LaTeX">$R^{n}$</tex-math></inline-formula>中的点映射到<inline-formula><tex-math notation="LaTeX">$R^{n}$</tex-math></inline-formula>中的<inline-formula><tex-math notation="LaTeX">$2^{s}$个</tex-math></inline-formula>不相交的子集,这保证了<inline-formula><tex-math notation="LaTeX">$s$</tex-math></inline-formula>位可以嵌入到每个真实的数中。在此基础上,提出了一种加密二维矢量图形的RDH方案。在该方案中,用户将二维工程图形加密后存储在云端,云服务提供商可以对加密后的二维矢量图形进行信息隐藏、提取甚至恢复。对于授权用户,它可以从云端获取恢复的2D矢量图形,并在解密后获得其原始版本。对于未经授权的用户,他只能获得带有隐藏消息的加密的二维矢量图形,即使他知道解密密钥但不知道隐藏密钥,也只能获得近似的二维矢量图形。实验结果和分析表明,该算法在安全性、失真度和容量之间取得了较好的平衡。它为加密域中以真实的数表示的数据的RDH提供了一种新的范例。
Currently, much attention has been paid to reversible data hiding (RDH) in an encrypted domain due to the popular deployment of cloud storage. However, nearly all existing RDH schemes in the encrypted domain are proposed for raster images, and very little work has been done to 2D vector graphics, which are represented in real numbers. In this paper, a reversible mapping model for real numbers is first built. It maps the points in <inline-formula> <tex-math notation="LaTeX">$R^{n}$ </tex-math></inline-formula> to <inline-formula> <tex-math notation="LaTeX">$2^{s}$ </tex-math></inline-formula> non-intersecting subsets in <inline-formula> <tex-math notation="LaTeX">$R^{n}$ </tex-math></inline-formula>, which guarantees that <inline-formula> <tex-math notation="LaTeX">$s$ </tex-math></inline-formula> bits can be embedded into each real number. Based on the model, an RDH scheme in encrypted 2D vector graphics is put forward. In the scheme, a user encrypts 2D engineering graphics and stores them in the cloud, and then the cloud service provider can perform information hiding, extraction, and even recover the encrypted 2D vector graphics. For the authorized user, it can acquire the recovered 2D vector graphics from the cloud and obtain their original versions after decryption. For an unauthorized user, he can only acquire the encrypted 2D vector graphics with a hidden message, and only approximate 2D vector graphics can be obtained even if he knows the decryption key but does not know the hiding key. The experimental results and analysis show that it can strike a good balance between security, distortion, and capacity. It provides a new paradigm for RDH in the encrypted domain for the data represented in real numbers.
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