Image security based on iterative random phase encoding in expanded fractional Fourier transform domains

Zhengjun Liu (1) , Hang Chen (2) , Walter Blondel (3) , Zhenmin Shen (4) , Shutian Liu (1)

1 HIT - Harbin Institute of Technology
2 LCOMS - Laboratoire de Conception, Optimisation et Modélisation des Systèmes
3 CRAN - Centre de Recherche en Automatique de Nancy
4 Laboratory of Laser Engineering and Technology, Beijing Institute of Space Mechanics & Electricity, China

A novel image encryption method is proposed by using the expanded fractional Fourier transform, which is implemented with a pair of lenses. Here the centers of two lenses are separated at the cross section of axis in optical system. The encryption system is addressed with Fresnel diffraction and phase modulation for the calculation of information transmission. The iterative process with the transform unit is utilized for hiding secret image. The structure parameters of a battery of lenses can be used for additional keys. The performance of encryption method is analyzed theoretically and digitally. The results show that the security of this algorithm is enhanced markedly by the added keys.

Keywords: Off-line holography; Phase encoding; Optical transform; Image hiding; Compound lens; Diffraction

Domains: Engineering Sciences [physics]; Signal and Image processing; Life Sciences [q-bio]; Bioengineering; Imaging; Engineering Sciences [physics]; Optics / Photonic

Zhengjun Liu, Hang Chen, Walter Blondel, Zhenmin Shen, Shutian Liu. Image security based on iterative random phase encoding in expanded fractional Fourier transform domains. Optics and Lasers in Engineering, 2018, 105, pp.1-5. ⟨10.1016/j.optlaseng.2017.12.007⟩. ⟨hal-01676944⟩