Boolean-based Secret Image Sharing In Multiple Scenes

Boolean-based secret image sharing is an important direction in the research of secret image sharing.It has better visual quality than traditional visual cryptography,and faster computation speed than polynomial-based secret image sharing.Among Boolean operations,OR,XOR,and mixed Boolean operations have different characteristics,and are applicable to different encryption scenarios.In order to be suitable for a variety of practical application scenarios,technologies such as meaningful cover,general access structure,and two-in-one are all important directions for research.In order to explore the research of secret image sharing based on Boolean operation in multiple scenarios,in this paper,two related schemes are proposed,and the corresponding analysis and comparison are carried out.Experimental results demonstrate the effectiveness and superiority of the proposed scheme.First,this paper proposes a XOR-based secret image sharing scheme.By constructing a basic matrix model based on vector,and using the relevant definitions as constraints,a mathematical model of the minimum pixel expansion is obtained.The problem is solved by integer linear programming,and the fundamental matrix of secret image sharing based on XOR is obtained.By changing the relevant constraints,application scenarios such as meaningful cover and general access structure can be applied.The relevant experimental results show the effectiveness of this scheme,and the comparison with other related schemes in terms of pixel expansion and contrast shows that our proposed scheme has better performance and wider applicability.In addition,this paper also proposes a two-in-one secret image sharing scheme based on Boolean operation,which can decrypt the secret image through the two operations of OR(stacking)and Boolean operation.In this regard,lossless recovery of secret images can be achieved through Boolean operations.The scheme mainly consists of three parts: the generation of shared data,the construction of share and the decryption of image.In the stage of generating shared data,an modified boolean-based multiple secret image sharing is used to process the grayscale secret image.In the share construction stage,the grouping mode is determined according to the black and white pixel ratio of the halftone image.Adjust the image size according to the grouping mode,and use the Void-And-Cluster algorithm to adjust the halftone image to obtain a suitable halftone image,and finally use the grayscale visual cryptography scheme to share the halftone image and embed the shared data in the share.Finally,the secret image is recovered in the image decryption stage.After the analysis and comparison of the experimental results,the scheme has been improved compared with other related schemes in terms of contrast,sharing capacity,and computational complexity,and has wider applicability and better performance.