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本文引用的文献

1
RST invariant image watermarking algorithm with mathematical modeling and analysis of the watermarking processes.具有水印过程数学建模与分析的RST不变图像水印算法
IEEE Trans Image Process. 2009 May;18(5):1055-68. doi: 10.1109/TIP.2009.2014807.
2
Moment-based approaches in imaging part 2: invariance.成像中基于矩的方法 第2部分:不变性
IEEE Eng Med Biol Mag. 2008 Jan-Feb;27(1):81-3. doi: 10.1109/MEMB.2007.911462.
3
Robust template matching for affine resistant image watermarks.用于抗仿射图像水印的鲁棒模板匹配
IEEE Trans Image Process. 2000;9(6):1123-9. doi: 10.1109/83.846253.
4
Moment-based approaches in imaging. Part 1, basic features.成像中基于矩的方法。第1部分,基本特征。
IEEE Eng Med Biol Mag. 2007 Sep-Oct;26(5):70-4. doi: 10.1109/emb.2007.906026.
5
Digital watermarking robust to geometric distortions.对几何失真具有鲁棒性的数字水印。
IEEE Trans Image Process. 2005 Dec;14(12):2140-50. doi: 10.1109/tip.2005.857263.
6
Geometric invariance in image watermarking.图像水印中的几何不变性。
IEEE Trans Image Process. 2004 Feb;13(2):145-53. doi: 10.1109/tip.2004.823831.

用于抵抗几何变形的图像水印的仿射勒让德矩不变量。

Affine Legendre moment invariants for image watermarking robust to geometric distortions.

机构信息

Laboratory of Image Science and Technology, Department of Computer Science and Engineering, Southeast University, Nanjing, China.

出版信息

IEEE Trans Image Process. 2011 Aug;20(8):2189-99. doi: 10.1109/TIP.2011.2118216. Epub 2011 Feb 22.

DOI:10.1109/TIP.2011.2118216
PMID:21342852
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3378516/
Abstract

Geometric distortions are generally simple and effective attacks for many watermarking methods. They can make detection and extraction of the embedded watermark difficult or even impossible by destroying the synchronization between the watermark reader and the embedded watermark. In this paper, we propose a new watermarking approach which allows watermark detection and extraction under affine transformation attacks. The novelty of our approach stands on a set of affine invariants we derived from Legendre moments. Watermark embedding and detection are directly performed on this set of invariants. We also show how these moments can be exploited for estimating the geometric distortion parameters in order to permit watermark extraction. Experimental results show that the proposed watermarking scheme is robust to a wide range of attacks: geometric distortion, filtering, compression, and additive noise.

摘要

几何变形通常是许多水印方法的简单而有效的攻击手段。它们可以通过破坏水印读取器和嵌入水印之间的同步来使嵌入水印的检测和提取变得困难甚至不可能。在本文中,我们提出了一种新的水印方法,允许在仿射变换攻击下进行水印检测和提取。我们的方法的新颖之处在于从勒让德矩中得到的一组仿射不变量。水印的嵌入和检测直接在这个不变量集上进行。我们还展示了如何利用这些矩来估计几何失真参数,以便允许提取水印。实验结果表明,所提出的水印方案对各种攻击具有鲁棒性:几何变形、滤波、压缩和加性噪声。