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Fragile watermarking scheme for tamper localization in images using logistic map and singular value decomposition
Affiliation:1. School of Electrical and Computer Engineering, College of Engineering, University of Tehran, Tehran, Iran;2. School of Computer Science and Electronic Engineering, University of Essex, Colchester, UK;1. Dept. of Bioinformatics and Medical Engineering, Asia University, Taichung, Taiwan;2. Dept. of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan;3. Dept. of Electrical Engineering, National Sun Yat-sen University, Kaohsiung, Taiwan;4. Institute of Information Science, Academia Sinica, Taipei, Taiwan;1. Engineering Technology Training Center, Civil Aviation University of China, Tianjin 300300, China;2. College of Electronic Information and Automation, Civil Aviation University of China, Tianjin 300300, China
Abstract:This paper presents a fragile watermarking scheme for tamper localization using Singular Value Decomposition (SVD) and logistic map. The proposed scheme divides the image into blocks of size 2 × 2 pixels and generates an 8-bit watermark from each block. The watermark is computed by permuting the six Most Significant Bits (MSBs) of each pixel in the block using the logistic map, followed by SVD. To secure, the watermark thus generated is further encrypted using the logistic map. This encrypted watermark is embedded into 2 Least Significant Bits (LSBs) of each pixel to enable tamper detection and localization. The experimental results demonstrate that the proposed scheme can precisely locate tampered regions under copy-paste, content removal, text addition, noise addition, vector quantization, collage, content only, and constant feature attacks. Tamper localization accuracy is better or comparable to the state-of-the-art tamper localization algorithms.
Keywords:Image authentication  Fragile watermarking  Tamper localization  Logistic map  Singular value decomposition
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