Image Authentication Using Only Partial Phase Information from a Double-Random-Phase-Encrypted Image in the Fresnel Domain

Abstract

The double-random phase encryption (DRPE) algorithm is a robust technique for image encryption, due to its high speed and encoding a primary image to stationary white noise. Recently it was reported that DRPE in the Fresnel domain can achieve a better avalanche effect than that in Fourier domain, which means DRPE in the Fresnel domain is much safer, to some extent. Consequently, a method based on DRPE in the Fresnel domain would be a good choice. In this paper we present an image-authentication method which uses only partial phase information from a double-random-phase-encrypted image in the Fresnel domain. In this method, only part of the phase information of an image encrypted with DRPE in the Fresnel domain needs to be kept, while other information like amplitude values can be eliminated. Then, with the correct phase keys (we do not consider wavelength and distance as keys here) and a nonlinear correlation algorithm, the encrypted image can be authenticated. Experimental results demonstrate that the encrypted images can be successfully authenticated with this partial phase plus nonlinear correlation technique.

Secure Image Authentication Scheme Using Double Random-Phase Encoding and Compressive Sensing

“…Double random-phase encoding (DRPE) technology, initially developed by Refregier et al [18], has the distinct advantages of processing 2D complex data with parallelism and high speed. Many references have integrated DRPE with other conventional signal processing techniques [19][20][21][22][23], such as watermarking, encryption, and authentication by Fourier domain expansion to Fresnel domain. In [23][24][25], DRPE was mixed with photon-counting imaging to acquire sparse complex information and secure image authentication based on a statistical nonlinear correlation approach.…”

“…In [23][24][25], DRPE was mixed with photon-counting imaging to acquire sparse complex information and secure image authentication based on a statistical nonlinear correlation approach. Since phase information obtained by DRPE and photoncounting imaging is sparse and requires less space to store, it has been favored by other studies [22,[26][27][28][29]. To reduce storage and provide higher security, the schemes [22,26] only reserved partial phase information for the authentication.…”

“…Since phase information obtained by DRPE and photoncounting imaging is sparse and requires less space to store, it has been favored by other studies [22,[26][27][28][29]. To reduce storage and provide higher security, the schemes [22,26] only reserved partial phase information for the authentication. Likewise, references [24,26] used sparse complex information resulting from 2D elemental images for final authentication.…”

Asymmetric Multiple-Image Encryption Based on Octonion Fresnel Transform and Sine Logistic Modulation Map

“…Since development of the double random phase encryption (DRPE) technique [1], in which the image is encoded to be a white noise pattern with two statistically independent random phase masks (RPM), a number of improved DPRE-based image encryption methods have been proposed, to achieve higher security [2][3][4][5][6][7]. Most of the optical encryption methods can be viewed as symmetric cryptosystems, in which the keys for encryption and decryption are identical [8].…”

Hybrid Color and Grayscale Images Encryption Scheme Based on Quaternion Hartley Transform and Logistic Map in Gyrator Domain

“…The DRPE encryption technique is constructed by using two RPMs as keys: one is located at the input domain and the other is at the Fourier domain. To enlarge the key space, it has been further extended from the Fourier transform domain to the Fresnel transform domain [4,5], the fractional Fourier transform domain [6], the Gyrator transform (GT) domain [7] and the Hartley transform (HT) domain [8], etc. In these encryption systems, the parameters (e.g.…”