Single-channel color image encryption using phase retrieve algorithm in fractional Fourier domain

Multichannel Random Discrete Fractional Fourier Transform

“…are two mutual independent white noise matrices and uniformly distributed in . Based on Step 1 and Step 2, the MRFrFT can be defined as (8) It must be noted that in (8), channels MRFrFT need to produce RPOMs, which is time-consuming and sometimes unnecessary. This shortcoming motivates us to find a choice mechanism which can randomly select several channels kernel functions and then randomize them by (7). Step 3 gives a choice mechanism based on chaos mapping.…”

“…I N THE past decades, the fractional Fourier transform (FrFT) has been regarded as a powerful tool in the fields of signal processing [1]- [4] and image processing [5]- [8]. An effective eigen-decomposition-based definition of discrete fractional Fourier transform (DFrFT) has been proposed by Pei [9], which can be viewed as the approximate samples of the continuous FrFT [1].…”

“…First, the weighting coefficients of each channel are randomized. Then, the partial kernel functions, chosen by a choice mechanism that is completed based on the logistic map [8], are randomized by a group of random phase-only masks (RPOMs). The proposed MRFrFT can be carried out on a computer rapidly with an advantage that its kernel functions can be pre-computed and stored.…”

An asymmetric color image encryption method by using deduced gyrator transform

“…Encryption algorithms in the spatial domain [1,2] are mainly based on scrambling image pixels or blocks. Encryption algorithms in transformed domain [3][4][5][6][7][8][9] are mainly based on scrambling or encrypting the transform coefficients or blocks. Although most of the reported encryption techniques based on transformed domains can be implemented by optical setups which have high speed in encryption, but they lack in security strength because of their inherent linearity of the overall system.…”

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

“…Other methods, such as phase only encryption [6], JTC system [7], phase shift interferometry [8,9], and phase retrieval algorithm [10] were also used in optical image encryption. In 2006, we propose an optical color image encryption method based on wavelength multiplexing and tricolor theory [11,12], and many other color image encryption methods are presented after that [13][14][15][16]. Image encryption based on Hartley transform [17], phase reservation and compression [18], computational ghost imaging [19] and quantum photon counting [20] were reported in recent papers.…”