双四元矩阵的 QR 分解和盲水印方案

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-13 DOI:10.1007/s11075-024-01930-9

Mingcui Zhang, Ying Li, Tao Wang, Jianhua Sun

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引用次数: 0

摘要

本文研究了对偶四元数 QR 分解的算法和应用。本文提出了利用双四元数矢量的 Householder 变换进行双四元数 QR 分解的直接算法和双结构保留算法。数值实验表明，两种算法都是可行的，而且就计算效率而言，双结构保留算法优于直接算法。因此，双四元 QR 分解的双结构保留算法被用于彩色图像水印。实验表明，我们的方法是可行的，而且在抗攻击性方面优于其他方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

QR decomposition of dual quaternion matrix and blind watermarking scheme

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QR decomposition of dual quaternion matrix and blind watermarking scheme

In this paper, the algorithms and applications of the dual quaternion QR decomposition are studied. The direct algorithm and dual structure-preserving algorithm of dual quaternion QR decomposition utilizing Householder transformation of dual quaternion vector are proposed. Numerical experiments show that two algorithms are feasible, and the dual structure-preserving algorithm is superior to the direct algorithm in terms of computational efficiency. Therefore, the dual structure-preserving algorithm of dual quaternion QR decomposition is used to color image watermarking. Experiments illustrate that our method is feasible and better than the compared methods in anti-aggression.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.