¹ Department of Electronic Information Engineering, Nanchang University, Nanchang 330031, China
² National Engineering Laboratory for Disaster Backup and Recovery, Beijing University of Posts and Telecommunications, Beijing 100876,China
³ Jiangxi Province Key Laboratory of Image Processing and Pattern Recognition, Nanchang Hangkong University, 330063 Nanchang, China

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Abstract—A new color image encryption algorithm combining compressive sensing with Arnold transform is proposed, which can encrypt the color image into a gray image. Considering the dimensional reduction and random projection of compressive sensing, we utilize compressive sensing to encrypt and compress the three color components of color image simultaneously. The three encrypted and compressed color components’ dimensions are smaller than the original image, thus they can be grouped into a gray image, and then the gray image is scrambled by Arnold transform to enhance the security. The proposed algorithm can also be applied in the multiple-image encryption. The experimental results show the validity and the reliability of the proposed algorithm.

Index Terms—compressive sensing, color image encryption, Arnold transform

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Cite: Aidi Zhang, Nanrun Zhou, and Lihua Gong, " Color Image Encryption Algorithm Combining Compressive Sensing with Arnold Transform," Journal of Computers vol. 8, no. 11, pp. 2857-2863, 2013.