Bit-Level Triangular Content-Aware Permutation for Fragile Image Watermarking: Zero False Positive Rate, Single-Bit Sensitivity, and Arbitrary Dimension Support
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[2608.14800] Bit-Level Triangular Content-Aware Permutation for Fragile Image Watermarking: Zero False Positive Rate, Single-Bit Sensitivity, and Arbitrary Dimension Support Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Computer Science > Cryptography and Security arXiv:2608.14800 (cs) [Submitted on 14 Aug 2026 ( v1 ), last revised 28 Aug 2026 (this version, v2)] Title: Bit-Level Triangular Content-Aware Permutation for Fragile Image Watermarking: Zero False Positive Rate, Single-Bit Sensitivity, and Arbitrary Dimension Support Authors: Zahra Ghoraeian , Mohammad-Reza Sadeghi , Samaneh Mashhadi View a PDF of the paper titled Bit-Level Triangular Content-Aware Permutation for Fragile Image Watermarking: Zero False Positive Rate, Single-Bit Sensitivity, and Arbitrary Dimension Support, by Zahra Ghoraeian and 2 other authors View PDF HTML (experimental) Abstract: With the growth of digital document exchange, protecting image integrity against attacks such as Vector Quantization (VQ) and collage has become critical. Existing methods are vulnerable to these attacks and limited to fixed image dimensions. This paper presents a novel, dimension-agnostic, fragile watermarking algorithm that enhances security and tamper localization by replacing conventional hash functions with Triangular Content-Aware Permutation (TCA). The image is combined with key-based global noise and divided into blocks. The core innovation is applying content-dependent permutation with intrinsic avalanche effect (TCA) at the bit-plane level, generating a unique content-dependent watermark. For color images, a vertical sandwich transformation merges channels, preserving inter-channel dependency with only 1.62x time increase. The "remainder merging" strategy eliminates padding constraints. Experiments on 50 grayscale and 10 color images under 18 attacks show FPR=0% and FNR=0% for 17 attacks. Salt-and-pepper noise yields negligible FNR of 0.27% (grayscale) and 0.14% (color). Average PSNR is 51.14 dB (8-bit), 75.25 dB (12-bit), and 99.33 dB (16-bit). Embedding and extraction times are 1.61 s and 1.63 s, respectively. The algorithm achieves 100% accuracy against collage, VQ, copy-move, JPEG (quality 5-95), and geometric attacks, providing a secure solution for digital forensics, medical imaging, and legal document authentication. Comments: 19 pages, 4 figures, 8 tables Subjects: Cryptography and Security (cs.CR) ; Computer Vision and Pattern Recognition (cs.CV) MSC classes: 68U10, 94A60 ACM classes: E.3; I.4.9; K.6.5 Cite as: arXiv:2608.14800 [cs.CR] (or arXiv:2608.14800v2 [cs.CR] for this version) https://doi.org/10.48550/arXiv.2608.14800 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Zahra Ghoraeian [ view email ] [v1] Fri, 14 Aug 2026 18:12:52 UTC (4,565 KB) [v2] Fri, 28 Aug 2026 12:49:30 UTC (4,565 KB) Full-text links: Access Paper: View a PDF of the paper titled Bit-Level Triangular Content-Aware Permutation for Fragile Image Watermarking: Zero False Positive Rate, Single-Bit Sensitivity, and Arbitrary Dimension Support, by Zahra Ghoraeian and 2 other authors View PDF HTML (experimental) TeX Source view license Current browse context: cs.CR < prev | next > new | recent | 2026-08 Change to browse by: cs cs.CV References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... 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