A compressed secret image sharing method with shadow image verification capability

Guozheng Yang; Lintao Liu; Xuehu Yan; Guozheng Yang; Lintao Liu; Xuehu Yan

doi:10.3934/mbe.2020237

Mathematical Biosciences and Engineering

2020, Volume 17, Issue 4: 4295-4316. doi: 10.3934/mbe.2020237

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Research article Special Issues

A compressed secret image sharing method with shadow image verification capability

1.
National University of Defense Technology, Heifei 230037, China
2.
Anhui Key Laboratory of Cyberspace Security Situation Awareness and Evaluation, Heifei 230037, China

Received: 22 April 2020 Accepted: 15 June 2020 Published: 18 June 2020

Secret image sharing (SIS) is an important research direction in information hiding and data security transmission. Since the generated shadow images (shares) are always noise-like, it is difficult to distinguish the fake share from the unauthorized participant before recovery. Even more serious is that an attacker with a fake share can easily collect shares of other honest participants. As a result, it is significant to verify the shares, before being taken out for recovery. Based on two mainstream methods of SIS, such as polynomial-based SIS and visual secret sharing(VSS), this paper proposed a novel compressed SIS with the ability of shadow image verification. Considering that the randomness of the sharing phase of polynomial-based SIS can be utilized, one out of shares of (2, 2)-threshold random-grid VSS is embedded into all shares of polynomial-based SIS by a XOR operation as the verification information, while the other binary share is private for verification. Before recovery, each participant must extract the binary share from the grayscale share to perform XOR operation with the private share, and the original binary image can be recovered only with the true share. The proposed scheme also has the characteristics of shadow image verification, pixel compression, loss tolerance and lossless recovery. Through experiments and comparative analysis of related research results, the effectiveness and advantages of the method are verified.
- secret image sharing,
- shadow verification,
- pixel compression,
- loss tolerance,
- lossless recovery
Citation: Guozheng Yang, Lintao Liu, Xuehu Yan. A compressed secret image sharing method with shadow image verification capability[J]. Mathematical Biosciences and Engineering, 2020, 17(4): 4295-4316. doi: 10.3934/mbe.2020237

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Abstract

Secret image sharing (SIS) is an important research direction in information hiding and data security transmission. Since the generated shadow images (shares) are always noise-like, it is difficult to distinguish the fake share from the unauthorized participant before recovery. Even more serious is that an attacker with a fake share can easily collect shares of other honest participants. As a result, it is significant to verify the shares, before being taken out for recovery. Based on two mainstream methods of SIS, such as polynomial-based SIS and visual secret sharing(VSS), this paper proposed a novel compressed SIS with the ability of shadow image verification. Considering that the randomness of the sharing phase of polynomial-based SIS can be utilized, one out of shares of (2, 2)-threshold random-grid VSS is embedded into all shares of polynomial-based SIS by a XOR operation as the verification information, while the other binary share is private for verification. Before recovery, each participant must extract the binary share from the grayscale share to perform XOR operation with the private share, and the original binary image can be recovered only with the true share. The proposed scheme also has the characteristics of shadow image verification, pixel compression, loss tolerance and lossless recovery. Through experiments and comparative analysis of related research results, the effectiveness and advantages of the method are verified.

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