Open AccessFractional Fourier domain optical image hiding using phase retrieval algorithm based on iterative nonlinear double random phase encoding
Author(s) -
Xiaogang Wang,
Wen Chen,
Xudong Chen
Publication year - 2014
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.22.022981
Subject(s) - phase retrieval , algorithm , fourier transform , computer science , logistic map , fractional fourier transform , computation , phase (matter) , discrete fourier transform (general) , image processing , nonlinear system , encoding (memory) , image (mathematics) , encryption , mathematics , fourier analysis , artificial intelligence , physics , mathematical analysis , quantum mechanics , operating system
We present a novel image hiding method based on phase retrieval algorithm under the framework of nonlinear double random phase encoding in fractional Fourier domain. Two phase-only masks (POMs) are efficiently determined by using the phase retrieval algorithm, in which two cascaded phase-truncated fractional Fourier transforms (FrFTs) are involved. No undesired information disclosure, post-processing of the POMs or digital inverse computation appears in our proposed method. In order to achieve the reduction in key transmission, a modified image hiding method based on the modified phase retrieval algorithm and logistic map is further proposed in this paper, in which the fractional orders and the parameters with respect to the logistic map are regarded as encryption keys. Numerical results have demonstrated the feasibility and effectiveness of the proposed algorithms.