Pseudo color image encryption based on three-beams interference principle and common vector composition

As a typical technology for optical encryption, phase retrieval algorithms have been widely used in optical information encryption and authentication systems. This paper presents three applications of two-dimensional (2D) phase retrieval for optical encryption and authentication: first, a hierarchical image encryption system, by which multiple images can be hidden into cascaded multiple phase masks; second, a multilevel image authentication system, which combines (t, n) threshold secret sharing (both t and n are positive integers, and t ≤ n ) and phase retrieval, and provides both high-level and low-level authentication; and finally, a hierarchical multilevel authentication system that combines the secret sharing scheme based on basic vector operations and the phase retrieval, by which more certification images can be encoded into multiple cascaded phase masks of different hierarchical levels. These three phase retrieval algorithms can effectively illustrate phase-retrieval-based optical information security. The principles and features of each phase-retrieval-based optical security method are analyzed and discussed. It is hoped that this review will illustrate the current development of phase retrieval algorithms for optical information security and will also shed light on the future development of phase retrieval algorithms for optical information security.

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“…operations [47][48][49][50] Vector 𝐺 1 which can be viewed as a position vector in a 2D Cartesian coordinate system, is shown in Fig. 15.…”

Section: Secret Sharing Algorithm Based On Basic Vectormentioning

confidence: 99%

Phase retrieval algorithm for optical information security*

et al. 2019

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“…To enhance security, plenty of improved DRPE-based cryptosystems have been proposed, such as the Fresnel transform [9,10], fractional Fourier transform (FT) [11][12][13], fractional Mellin transform [14], gyrator transform [15][16][17] and cylindrical diffraction transform [18,19]. At the same time, several methods such as non-linear operations also have been applied in cryptosystems to further improve security, such as phase-truncated operation [20][21][22][23], interference [24][25][26][27][28] and lower upper decomposition [29,30]. However, these cryptosystems are all used to encrypt a single image.…”

Section: Introductionmentioning

confidence: 99%

Asymmetric multiple-image cryptosystem based on LUP decomposition in spherical diffraction domain

Zhang¹,

Wang²,

Wu³

et al. 2021

Laser Phys. Lett.

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In this paper, an asymmetric multiple-image cryptosystem is proposed using LUP decomposition (LUPD) in the spherical diffraction (SpD) domain. To the best of our knowledge, the SpD transform is applied to the optical encryption for the first time. In the proposed cryptosystem, multiple grayscale images are encoded into a sparse and binary amplitude distribution with the cascaded LUPD and SpD transform. The matching private keys are generated by LUPD, which is convenient for administrative permissions by setting different numbers of private keys. Since LUPD and SpD are both non-linear processes, high security can be achieved to resist attacks such as the retrieval attack. In addition, up to 12 plaintext images can be encrypted with high decryption quality using the proposed cryptosystem. On the other side, the sparse and binary ciphertext can be stored or transmitted with 1/8 space compared with general 8-bit-grayscale ciphertext, which is a merit of using LUPD. The feasibility and effectiveness of the proposed asymmetric cryptosystem are verified by numerical simulation results.

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“…Chen et al devised a novel IBE scheme using three-dimensional phase retrieval and an FrFT-based IBE scheme [25], in which a series of random and fixed phase-only masks are applied in the optical paths, to enhance the security of conventional IBE algorithms [26,27]. Chen et al proposed a method to encode pseudo color image using three-beam interference principle and common vector composition [28]. An encryption method based on multiple-beam interference principle and vector composition has also been introduced by them recently [29].…”

Section: Introductionmentioning

confidence: 99%