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Phase image encryption in the fractional Hartley domain using Arnold transform and singular value decomposition
Institution:1. The Islamia University of Bahawalpur, Department of Computer Science & Information Technology, Pakistan;2. University of Essex, Colchester, United Kingdom;1. School of Mathematics, Indian Institute of Science Education and Research, Thiruvananthapuram, Kerala, India;2. Department of Mathematics, College of Engineering, Guindy, Anna University Chennai, Chennai-25, India;1. School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China;2. Beijing Key Laboratory of Fractional Signals and Systems, Beijing 100081, China;3. Academy of Opto-Electronics, Chinese Academy of Sciences, Beijing 100094, China;1. School of Electronic Information Engineering, Tianjin University, Tianjin, 300072 PR China;2. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116024 PR China
Abstract:A novel scheme for image encryption of phase images is proposed, using fractional Hartley transform followed by Arnold transform and singular value decomposition in the frequency domain. Since the plaintext is a phase image, the mask used in the spatial domain is a random amplitude mask. The proposed scheme has been validated for grayscale images and is sensitive to the encryption parameters such as the order of the Arnold transform and the fractional orders of the Hartley transform. We have also evaluated the scheme's resistance to the well-known noise and occlusion attacks.
Keywords:Phase image  Arnold transform  Singular value decomposition  Fractional Hartley transform
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