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We demonstrate an optical image encryption scheme using 3-D chaotic map based joint image scrambling and random encoding in gyrator domains. A novel image confusion approach that can well address the drawbacks of typical image permutation ciphers is developed to firstly shuffle the plaintext. Then the scrambled image is random phase encoded in the spatial domain and gyrator transform domain. A three-dimensional chaotic map is introduced to generate key stream elements. Simulations demonstrate that the cryptosystem has satisfactory cryptographic features and owns high robustness against noise perturbation as well as occlusion attack. [ABSTRACT FROM AUTHOR]