Robust Reversible Watermarking in Encrypted Images Based on Dual-MSBs Spiral Embedding

📅 2026-01-20
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🤖 AI Summary
This work proposes a novel framework for reversible data hiding in encrypted images that addresses the challenges of limited embedding capacity and the trade-off between robustness and reversibility. By integrating predictive error compression, dual most significant bit (dual-MSB) spiral embedding, spatial redundancy, and error-correcting codes, the method reserves embedding space through compressed prediction error bitplanes and distributes redundant watermark copies spirally within the encrypted domain. This approach ensures perfect reversibility while significantly enhancing robustness against common attacks such as Gaussian noise, JPEG compression, and cropping. Experimental results on standard test images demonstrate that the proposed scheme achieves lower bit error rates, high embedding capacity, and stable performance under various distortion conditions.

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📝 Abstract
Robust reversible watermarking in encrypted images (RRWEI) faces an inherent challenge in simultaneously achieving robustness, reversibility, and content privacy under severely constrained embedding capacity. Existing RRWEI schemes often exhibit limited robustness against noise, lossy compression, and cropping attacks due to insufficient redundancy in the encrypted domain. To address this challenge, this paper proposes a novel RRWEI framework that couples dual most significant bit-plane (dual-MSBs) embedding with spatial redundancy and error-correcting coding. By compressing prediction-error bit-planes, sufficient embedding space and auxiliary information for lossless reconstruction are reserved. The dual-MSBs are further reorganized using a spiral embedding strategy to distribute multiple redundant watermark copies across spatially dispersed regions, enhancing robustness against both noise and spatial loss.Experimental results on standard test images demonstrate that the proposed method consistently outperforms under evaluated settings robustness against Gaussian noise, JPEG compression, and diverse cropping attacks, while maintaining perfect reversibility and high embedding capacity. Compared with state-of-the-art RRWEI schemes, the proposed framework achieves substantially lower bit-error rates and more stable performance under a wide range of attack scenarios.
Problem

Research questions and friction points this paper is trying to address.

Robust reversible watermarking
Encrypted images
Embedding capacity
Content privacy
Robustness
Innovation

Methods, ideas, or system contributions that make the work stand out.

Reversible Watermarking
Encrypted Images
Dual-MSBs Embedding
Spiral Embedding
Error-Correcting Coding
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Wen Yin
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Zhaoxia Yin
School of Communication & Electronic Engineering, East China Normal University, Shanghai 200241, China
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Wanli Lyu
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Xinpeng Zhang
School of Communication and Information Engineering, Shanghai University, Shanghai 200444, China; also with the School of Computer Science, Fudan University, Shanghai 200411, China