基于灰度概率矩阵的视觉密码方案

付正欣; 黄航璎; 郁滨

doi:10.12263/DZXB.20211256

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基于灰度概率矩阵的视觉密码方案

学术论文 | 更新时间：2025-12-08

- 基于灰度概率矩阵的视觉密码方案
- Visual Cryptography Scheme Based on Grayscale Probabilistic Matrix
- 电子学报 2023年51卷第8期页码：2188-2201
- 作者机构：
  
  信息工程大学密码工程学院，河南郑州 450001
- 作者简介：
  
  [ "付正欣男，1986年生，山东曹县人.信息工程大学副教授.主要研究方向为网络安全与视觉密码.E-mail: fzx2515@163.com" ]
  [ "黄航璎女,1998年生,江西宜春人.信息工程大学硕士研究生.主要研究方向为视觉密码." ]
  [ "郁滨男,1964年生,河南郑州人.信息工程大学教授.主要研究方向为网络安全与视觉密码." ]
- 基金信息：
  
  国家自然科学基金(61602513)
- DOI：10.12263/DZXB.20211256
  中图分类号： TP309.7;
- 收稿：2021-09-13，
  
  修回：2022-03-01，
  
  纸质出版：2023-08-25
- 稿件说明：
移动端阅览
付正欣,黄航璎,郁滨.基于灰度概率矩阵的视觉密码方案[J].电子学报,2023,51(08):2188-2201.

FU Zheng-xin,HUANG Hang-ying,YU Bin.Visual Cryptography Scheme Based on Grayscale Probabilistic Matrix[J].ACTA ELECTRONICA SINICA,2023,51(08):2188-2201.
付正欣,黄航璎,郁滨.基于灰度概率矩阵的视觉密码方案[J].电子学报,2023,51(08):2188-2201. DOI： 10.12263/DZXB.20211256.

FU Zheng-xin,HUANG Hang-ying,YU Bin.Visual Cryptography Scheme Based on Grayscale Probabilistic Matrix[J].ACTA ELECTRONICA SINICA,2023,51(08):2188-2201. DOI： 10.12263/DZXB.20211256.

摘要

针对概率型视觉密码所恢复的灰度图像存在灰度表现力不强的问题，本文提出了一种基于灰度概率矩阵的设计方案，生成了能够呈现多种灰度的共享份，以提高恢复效果.首先，以提高分享策略集合的整体差异性和灰度识别率为目标，依据视觉密码的对比性条件和安全性条件建立约束方程组，建立了目标优化模型.在此基础上，利用序列二次规划算法求解该目标优化模型得到优化后的灰度概率矩阵，并设计了秘密分享算法.实验结果表明，本文方案适用于（

，

）门限存取结构，恢复图像具有灰度失真程度低、表现力强的特点，在传统和新型图像质量评价指标上的表现，较同类方案均有所提升.

Abstract

To enhance the grayscale expressiveness of probabilistic visual cryptography when recovering gray images

a scheme based on grayscale probabilistic matrix was designed by using shares with multiple gray values. Firstly

we constructed a new objective function to improve the diversity of sharing strategies and the recognition rate of target zone

and established an optimization model with the contrast and security conditions of visual cryptography as constraints. On this basis

the optimized grayscale probabilistic matrix was obtained by solving the target optimization model with sequential quadratic programming and then the sharing algorithm was presented. Experimental results show that our scheme can be applied to (

) threshold access structure and the recovered image of this scheme has low grayscale distortion and strong grayscale expressiveness

which is verified through both traditional and recently proposed image quality assessment metrics when compared with relative schemes.

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Keywords

references

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