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Applied Optics

Optical double-image encryption and authentication by sparse representation

Emad A. Mohammed, Haitham L. Saadon

Published Nov 30, 2016• 21 citations
Publisher

Abstract

An optical double-image encryption and authentication method by sparse representation is proposed. The information from double-image encryption can be integrated into a sparse representation. Unlike the traditional double-image encryption technique, only sparse (partial) data from the encrypted data is adopted for the authentication process. Simulation results demonstrate that the correct authentication results are achieved even with partial information from the encrypted data. The randomly selected sparse encrypted information will be used as an effective key for a security system. Therefore, the proposed method is feasible, effective, and can provide an additional security layer for optical security systems. In addition, the method also achieved the general requirements of storage and transmission due to a high reduction of the encrypted information.

DOI
10.1364/ao.55.009939

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An optical double-image encryption and authentication method by sparse representation is proposed. The information from double-image encryption can be integrated into a sparse representation. Unlike the traditional double-image encryption technique, only sparse (partial) data from the encrypted data is adopted for the authentication process. Simulation results demonstrate that the correct authentication results are achieved even with partial information from the encrypted data. The randomly selected sparse encrypted information will be used as an effective key for a security system. Therefore, the proposed method is feasible, effective, and can provide an additional security layer for optical security systems. In addition, the method also achieved the general requirements of storage and transmission due to a high reduction of the encrypted information.
A simultaneous optical triple-image encryption and verification method based on sparse information strategy was proposed. The information of the encoded images could be integrated into a sparse representation. Only sparse (partial) data from the encrypted information were adopted for verification process. In sparse strategy, the partial data was extracted from the encrypted distribution. For complex-valued distribution, the sparse strategy was applied to the amplitude; thus, only the sparse amplitude pixels kept the phase data for verification process. Therefore, the proposed method can effectively facilitate optical information transmission and storage, as only part of the encrypted information was adopted. In addition, the simultaneous encryption and authentication verification of three images was achieved. The results proved that the proposed method was feasible and effective, and can provide an additional security layer for optical security systems. Moreover, the method that demonstrated secure optical triple-image can lead to a high flexibility and variety compared to that of photon counting technique which required a specific device.
We develop a phase-modulated optical system with sparse representation for information encoding and authentication. The optical cryptosystem is developed with cascaded phase-only masks, and the plaintext is encoded into the cascaded phase-only masks based on an iterative phase retrieval algorithm during the encryption. Two simple strategies are developed to generate sparse data: The sparse data are randomly generated from the extracted phase-only masks, and sparse data are randomly generated from the plaintext. These two sparsity strategies are respectively used in the proposed optical security system, and the decrypted images cannot visually render information about the plaintext. Optical authentication method is further applied to verify the decrypted images. It is illustrated that the optical authentication operation with sparsity strategy can provide an additional security layer for the optical security system.
We report an optical asymmetric scheme for double-image encryption and authentication based on interference using sparse representation. We employ sparse representation and interference to process the Fresnel spectra related with the two original images, and then respectively acquire two ciphertexts and two pairs of private keys. Each original image possesses its corresponding two private keys. Furthermore, the decrypted image is compared with its corresponding plaintext with the aid of a nonlinear correlation for authentication. In the proposed scheme, any information concerning each primary image and comprising its silhouette cannot be recognized even though one, two, or even three masks of the two ciphertexts and two private keys are utilized for decryption. The Fresnel spectrum functions which have different diffraction distances enhance the security of the proposal significantly. Moreover, the proposal also avoids the crosstalk problem. The effectiveness and security of this proposed method are demonstrated via numerical simulations.
The multifactor optical encryption authentication method [Opt. Lett., 31 721-3 (2006)] reinforces optical security by allowing the simultaneous authentication of up to four factors. In this work, the photon-counting imaging technique is applied to the multifactor encrypted function so that a sparse phase-only distribution is generated for the encrypted data. The integration of both techniques permits an increased capacity for signal hiding with simultaneous data reduction for better fulfilling the general requirements of protection, storage and transmission. Cryptanalysis of the proposed method is carried out in terms of chosen-plaintext and chosen-ciphertext attacks. Although the multifactor authentication process is not substantially altered by those attacks, its integration with the photon-counting imaging technique prevents from possible partial disclosure of any encrypted factor, thus increasing the security level of the overall process. Numerical experiments and results are provided and discussed.
Photon-counting imaging is integrated with optical encryption for information authentication. An image is double-random-phase encrypted, and a photon-limited encrypted image is obtained. The photon-counting encrypted image is generated with few photons and appears sparse; however, we show that it has sufficient information for decryption and authentication. The decrypted image cannot be easily visualized so that an additional layer of information protection is achieved. The authentication is carried out by recognition algorithms. This approach may make the verification process more robust against attacks. To the best of our knowledge, this is the first report on integrating photon-counting imaging and encryption for authentication.
Complex holographic schemes are usually required to obtain complex-valued encrypted images that are used for verification in previously proposed authentication approaches based on photon-counting imaging and double-random-phase encoding (DRPE). In this paper, we propose an optical information encryption and authentication system by integrating the classical optical DRPE with a modified iterative phase retrieval algorithm using 2-D median filtering. Only the intensity of the encrypted data needs to be recorded during the optical encryption process, and a private phase distribution is generated by combining iterative phase retrieval and 2-D median filtering. Sparse representation for the phase distribution, but not for a complex-amplitude distribution, is used for decryption and verification. Simulation results demonstrate the validity of the proposed approach.