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Typical reversible data hiding in encrypted image (RDH-EI) methods merely embed data in the encrypted domain, ignoring the requirement of the image owner for data embedding. To address this issue, this paper proposes a novel RDH-EI method with dual data embedding based on generalized integer transformation (GIT). The image owner first vacates embedding room, and performs data embedding before image encryption. After data encryption, the remote server utilizes the vacated room to further embed additional data into the encrypted image. The embedded data by the image owner and remote server can be extracted exactly, and the original image can be recovered losslessly. The experimental results prove the effectiveness of the proposed method. INDEX TERMS Reversible data hiding, encrypted image, generalized integer transformation, dual data embedding.