Abstract
An image compression and encryption scheme based on compressive sensing (CS) and Fourier transform is proposed to achieve image encryption and compression with reconstruction robustness and high security. Making use of the property of CS, encryption and compression are combined. In order to avoid the security limitations of revealing the energy information of the plaintext from ciphertext and reusing of measurement matrix to improve security, chaos system and two-dimensional fractional Fourier transform (2D-FRT) are used to perform encryption. Moreover, double random phase encryption based on 2D-FRT can avoid the loss of reconstruction robustness in diffusion encryption. The test results indicate that the proposed method has high security, good compression performance and reconstruction robustness.
Highlights
At present, a series of related theories developed based on compressive sensing (CS) have been proposed, such as model-based CS theory, structured CS theory, and spectral CS theory
Given that the difference in pixel distribution of different images will affect the compression ratio and encryption effect of algorithm, we use three grayscale images commonly used in image processing technology to test security, robustness and compression performance of the compression and encryption algorithm proposed in this paper
In this paper, an image compression and encryption scheme based on CS and Fourier transform was proposed
Summary
A series of related theories developed based on compressive sensing (CS) have been proposed, such as model-based CS theory, structured CS theory, and spectral CS theory. Orsdemir et al [1] proposed a data compression and reconstruction algorithm based on CS. Gan et al [2] proposed a CS coding method for image block based on CS, which greatly reduced the complexity of compression and reconstruction of large data volume images. Sarkis and Diepold [3] applied CS theory to depth image compression and proposed a depth image compression scheme with better compression performance than JPEG and JPEG2000. Du et al [4] proposed a two-dimensional geometric signal compression method with high compression ratio, The associate editor coordinating the review of this manuscript and approving it for publication was Sun Junwei
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
