基于二维串联调制耦合映射的图像加密-秘密分享算法

王宛平; 李冰

doi:10.3788/YJYXS20193412.1210

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基于二维串联调制耦合映射的图像加密-秘密分享算法

图像处理 | 更新时间：2020-07-16

- 基于二维串联调制耦合映射的图像加密-秘密分享算法
- Imageen cryption-secret sharing algorithm based on two-dimensional cascade modulation coupling map
- 液晶与显示 2019年34卷第12期页码：1210-1217
- 作者机构：
  
  1.河南质量工程职业学院现教中心, 河南平顶山 467000
  2.平顶山学院, 河南平顶山 467000
- 作者简介：
  
  [ "王宛平(1983—), 女, 河南南阳人, 硕士, 2012年于郑州大学获得硕士学位, 主要从事软件工程、计算机图形图像等方面的研究。E-mail:wangwanping0809@163.com" ]
  [ "李冰(1979—), 男, 河南新蔡人, 硕士, 2018年于南京理工大学获得硕士学位, 主要从事软件工程、工作流技术等方面的研究。E-mail:Li_bing_0816@126.com" ]
- 基金信息：
- DOI：10.3788/YJYXS20193412.1210
  中图分类号： TP394.1;TH691.9
- 收稿日期：2019-08-16，
  
  录用日期：2019-9-19，
  
  纸质出版日期：2019-12-05
- 稿件说明：
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王宛平, 李冰. 基于二维串联调制耦合映射的图像加密-秘密分享算法[J]. 液晶与显示, 2019,34(12):1210-1217.

Wan-ping WANG, Bing LI. Imageen cryption-secret sharing algorithm based on two-dimensional cascade modulation coupling map[J]. Chinese journal of liquid crystals and displays, 2019, 34(12): 1210-1217.
王宛平, 李冰. 基于二维串联调制耦合映射的图像加密-秘密分享算法[J]. 液晶与显示, 2019,34(12):1210-1217. DOI： 10.3788/YJYXS20193412.1210.

Wan-ping WANG, Bing LI. Imageen cryption-secret sharing algorithm based on two-dimensional cascade modulation coupling map[J]. Chinese journal of liquid crystals and displays, 2019, 34(12): 1210-1217. DOI： 10.3788/YJYXS20193412.1210.

摘要

为了实现数字图像的分布式保密存储，本文提出了一种图像加密-秘密分享算法。图像加密功能由Logistic映射和ICMIC映射串联构成的二维串联调制耦合映射（Two-dimensional cascade modulation coupling map，2D-CMCM）产生的4个随机数序列控制图像的行/列置乱和扩散来实现。在已加密图像的秘密分享阶段，使用基于拉格朗日多项式插值的（3，5）门限秘密分享算法，将已加密图像分为5份秘密子图。解密者只有获取不少于3份的秘密子图及二维串联调制耦合映射的密钥才能实现原始明文图像的无损重建。在安全性分析实验中，本文所提出算法显示出了高度的抗攻击性；在可逆性分析实验中，秘密子图被证实可以实现原始明文图像的无损重构；在执行效率测试实验中，本文所提出算法的高执行效率也得到了验证。经过一系列实验，本文所提出算法的高度实用性得到了证实。

Abstract

In order to realize distributed secure storage of digital images

an image encryption-secret sharing algorithm is proposed in this paper. The image encryption function is completed by a sequence of four random numbers generated by a two-dimensional cascade modulation coupling map (2D-CMCM)

which composed of a logistic map and an ICMIC map

including row/column scrambling and diffusion. In the secret sharing phase of the encrypted image

the encrypted image is divided into five secret subgraphs using a (3

5) threshold secret sharing algorithm based on Lagrangian polynomial interpolation. The decryptor can obtain the lossless reconstruction of the original plaintext image only by acquiring no less than 3 secret subgraphs and secret keys. In the safety analysis experiment

the proposed algorithm shows a high degree of anti-aggression. In the reversibility analysis experiment

the secret subgraph is confirmed to achieve the lossless reconstruction of the original plaintext image. In the execution efficiency test

the high execution efficiency of the proposed algorithm is also verified. The a series of experiments con firmed the high practicability of the proposed algorithm.

关键词

Keywords

references

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