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Abstract
Secret image sharing (SIS) scheme is a secret image encoding and decoding scheme that reconstructs the secret image only if the number of participants is sufficient. In contrast, inadequate participants gain no information about the secret image. Two-in-one secret image sharing (TiOSIS) scheme is a kind of SIS scheme with two decoding options, quick preview without computation and accurate recovery with computer. For higher decoding speed, Li et al. proposed an improved two-in-one secret image sharing scheme, utilizing Boolean operation for less computational complexity, where the visual quality of the previewed image is deteriorated. In this paper, we use q-bit gray visual cryptography to build a mathematical model for better visual quality of the previewed image based on Li et al.’s TiOSIS scheme. The black sub-pixels of shadows corresponding to a black secret pixel are replaced by a q-bit grayscale value rather than an 8-bit grayscale value where q is a positive integer smaller than 8. The theoretical analysis and experiments are exhibited to guarantee feasibility and effectiveness of the proposed scheme.
Highlights
With the advent of big data, information security has become a vital issue that needs to be solved urgently
Secret image sharing schemes are mainly divided into two categories due to the decryption method: one is polynomial-based secret image sharing (PSIS) scheme relying on Lagrange’s interpolation, and the other is visual cryptographic scheme (VCS) depending on human visual system
We propose a mathematical model for higher visual quality and lower size expansion based on BO-Two-in-one secret image sharing (TiOSIS) scheme
Summary
With the advent of big data, information security has become a vital issue that needs to be solved urgently. Secret information and images play a critical role in both military and commercial applications. The encryption and decryption processes are given to ensure the safety of image information, namely secret image sharing (SIS) scheme. The key idea of SIS is to distribute a secret image to multiple participants for safekeeping. The participants that meet the decryption conditions can restore the secret image, otherwise the information about the secret image cannot be obtained. Secret image sharing schemes are mainly divided into two categories due to the decryption method: one is polynomial-based secret image sharing (PSIS) scheme relying on Lagrange’s interpolation, and the other is visual cryptographic scheme (VCS) depending on human visual system
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