research-article

Robust Color Image Watermarking Using Geometric Invariant Quaternion Polar Harmonic Transform

Authors:

Hong-Ying Yang,

Xiang-Yang Wang,

Ai-Long WangAuthors Info & Claims

ACM Transactions on Multimedia Computing, Communications, and Applications (TOMM), Volume 11, Issue 3

Article No.: 40, Pages 1 - 26

https://doi.org/10.1145/2700299

Published: 05 February 2015 Publication History

Abstract

It is a challenging work to design a robust color image watermarking scheme against geometric distortions. Moments and moment invariants have become a powerful tool in robust image watermarking owing to their image description capability and geometric invariance property. However, the existing moment-based watermarking schemes were mainly designed for gray images but not for color images, and detection quality and robustness will be lowered when watermark is directly embedded into the luminance component or three color channels of color images. Furthermore, the imperceptibility of the embedded watermark is not well guaranteed. Based on algebra of quaternions and polar harmonic transform (PHT), we introduced the quaternion polar harmonic transform (QPHT) for invariant color image watermarking in this article, which can be seen as the generalization of PHT for gray-level images. It is shown that the QPHT can be obtained from the PHT of each color channel. We derived and analyzed the rotation, scaling, and translation (RST) invariant property of QPHT. We also discussed the problem of color image watermarking using QPHT. Experimental results are provided to illustrate the efficiency of the proposed color image watermarking against geometric distortions and common image processing operations (including color attacks).

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Cited By

Zhang HLi ZChen YLu CYan P(2025)Fast image reconstruction method using radial harmonic Fourier moments and its application in digital watermarkingJournal of the Franklin Institute10.1016/j.jfranklin.2024.107391362:1(107391)Online publication date: Jan-2025
https://doi.org/10.1016/j.jfranklin.2024.107391
Wang WFeng L(2024)Robust image watermarking using ant colony optimization and fast generic radial harmonic Fourier moment calculationIET Image Processing10.1049/ipr2.1301918:5(1200-1212)Online publication date: 2-Jan-2024
https://doi.org/10.1049/ipr2.13019
Zhang QHuang F(2024)Fast hypercomplex continuous orthogonal momentsExpert Systems with Applications10.1016/j.eswa.2024.125056257(125056)Online publication date: Jan-2024
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Index Terms

Robust Color Image Watermarking Using Geometric Invariant Quaternion Polar Harmonic Transform

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Published In

cover image ACM Transactions on Multimedia Computing, Communications, and Applications

ACM Transactions on Multimedia Computing, Communications, and Applications Volume 11, Issue 3

January 2015

173 pages

ISSN:1551-6857

EISSN:1551-6865

DOI:10.1145/2733235

Editor:
Ralf Steinmetz
Technische Universität Darmstadt, Germany

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Copyright © 2015 ACM.

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Association for Computing Machinery

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Publication History

Published: 05 February 2015

Accepted: 01 October 2014

Revised: 01 April 2014

Received: 01 November 2013

Published in TOMM Volume 11, Issue 3

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Open Project Program of Jiangsu Key Laboratory of Image and Video Understanding for Social Safety (Nanjing University of Science and Technology)
Open Foundation of Zhejiang Key Laboratory for Signal Processing
National Natural Science Foundation of China
Open Foundation of Provincial Key Laboratory for Computer Information Processing Technology (Soochow University)
Zhejiang University, and Liaoning Research Project for Institutions of Higher Education of China
Open Project Program of the State Key Lab of CAD&CG

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Cited By

Zhang HLi ZChen YLu CYan P(2025)Fast image reconstruction method using radial harmonic Fourier moments and its application in digital watermarkingJournal of the Franklin Institute10.1016/j.jfranklin.2024.107391362:1(107391)Online publication date: Jan-2025
https://doi.org/10.1016/j.jfranklin.2024.107391
Wang WFeng L(2024)Robust image watermarking using ant colony optimization and fast generic radial harmonic Fourier moment calculationIET Image Processing10.1049/ipr2.1301918:5(1200-1212)Online publication date: 2-Jan-2024
https://doi.org/10.1049/ipr2.13019
Zhang QHuang F(2024)Fast hypercomplex continuous orthogonal momentsExpert Systems with Applications10.1016/j.eswa.2024.125056257(125056)Online publication date: Jan-2024
https://doi.org/10.1016/j.eswa.2024.125056
Xiao MLi XZhao YMa BGuo G(2023)A Novel Reversible Data Hiding Scheme Based on Pixel-Residual HistogramACM Transactions on Multimedia Computing, Communications, and Applications10.1145/353456519:1s(1-19)Online publication date: 23-Jan-2023
https://dl.acm.org/doi/10.1145/3534565
Chekira CMarzouq MBatioua IFadili HLakhliai ZZenkouar K(2023)New Blind Image Moments Watermarking Method Based on Evolutionary Optimization of Embedding ParametersIEEE Access10.1109/ACCESS.2023.327657611(48517-48547)Online publication date: 2023
https://doi.org/10.1109/ACCESS.2023.3276576
Zhang QWang CMa BXia ZLi JZhang HLi Q(2023)Sedenion polar harmonic Fourier moments and their application in multi-view color image watermarkingSignal Processing10.1016/j.sigpro.2023.109010209(109010)Online publication date: Aug-2023
https://doi.org/10.1016/j.sigpro.2023.109010
Yamni MDaoui AKarmouni HSayyouri MQjidaa HWang CJamil M(2023)A Powerful Zero-Watermarking Algorithm for Copyright Protection of Color Images Based on Quaternion Radial Fractional Hahn Moments and Artificial Bee Colony AlgorithmCircuits, Systems, and Signal Processing10.1007/s00034-023-02379-242:9(5602-5633)Online publication date: 26-Apr-2023
https://dl.acm.org/doi/10.1007/s00034-023-02379-2
Hosny KMagdi ALashin NEl-Komy OSalah A(2022)Robust color image watermarking using multi-core Raspberry pi clusterMultimedia Tools and Applications10.1007/s11042-022-12037-581:12(17185-17204)Online publication date: 1-May-2022
https://dl.acm.org/doi/10.1007/s11042-022-12037-5
Yamni MKarmouni HSayyouri MQjidaa H(2022)Quaternion cartesian fractional hahn moments for color image analysisMultimedia Tools and Applications10.1007/s11042-021-11432-881:1(737-758)Online publication date: 1-Jan-2022
https://dl.acm.org/doi/10.1007/s11042-021-11432-8
Shi SLuo THuang JDu M(2021)A Novel HDR Image Zero-Watermarking Based on Shift-Invariant Shearlet TransformSecurity and Communication Networks10.1155/2021/66627002021Online publication date: 1-Jan-2021
https://dl.acm.org/doi/10.1155/2021/6662700
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