Quaternion matrix;
Complex structure-preserving algorithm;
QR decomposition;
6-bit trinary;
Blind color watermarking technique;
ALGORITHM;
D O I:
10.32523/2306-6172-2024-12-1-57-69
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
The color image blind watermarking technique is widely used in the field of digital image processing and security and can maintain the copyright of images and guarantee their authenticity. In order to maintain the intrinsic connection between the three color channels of color images, using quaternion algebra to solve the color image problems often achieves better results. This paper proposes a complex structure-preserving algorithm for solving the QR decomposition of quaternion matrices, which has better computational efficiency compared with previous methods. This paper also applies the proposed algorithm to the color image blind watermarking technique, and experiments prove that the method has better invisibility and better robustness to salt and pepper noise, etc. The technique will have potential applications in the field of color image watermarking.
机构:
Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R ChinaShanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China
Chen, Yong
Jia, Zhi-Gang
论文数: 0引用数: 0
h-index: 0
机构:
Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R ChinaShanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China
Jia, Zhi-Gang
Peng, Yan
论文数: 0引用数: 0
h-index: 0
机构:
Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R ChinaShanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China
Peng, Yan
Peng, Ya-Xin
论文数: 0引用数: 0
h-index: 0
机构:
Shanghai Univ, Dept Math, Shanghai 200444, Peoples R ChinaShanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China
Peng, Ya-Xin
Zhang, Dan
论文数: 0引用数: 0
h-index: 0
机构:
Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R ChinaShanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China
机构:
Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China
Res Inst USV Engn, Shanghai 200444, Peoples R ChinaShanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China
Chen, Yong
Jia, Zhigang
论文数: 0引用数: 0
h-index: 0
机构:
Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Peoples R China
Res Inst Math Sci, Xuzhou 221116, Jiangsu, Peoples R ChinaShanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China
Jia, Zhigang
Peng, Yaxin
论文数: 0引用数: 0
h-index: 0
机构:
Shanghai Univ, Sch Sci, Dept Math, Shanghai 200444, Peoples R ChinaShanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China
Peng, Yaxin
Peng, Yan
论文数: 0引用数: 0
h-index: 0
机构:
Shanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China
Res Inst USV Engn, Shanghai 200444, Peoples R ChinaShanghai Univ, Sch Mechatron Engn & Automat, Shanghai 200444, Peoples R China
机构:
Liaocheng Univ, Coll Math Sci, Liaocheng 252000, Shandong, Peoples R ChinaLiaocheng Univ, Coll Math Sci, Liaocheng 252000, Shandong, Peoples R China
Zhang, Fengxia
Zhao, Jianli
论文数: 0引用数: 0
h-index: 0
机构:
Liaocheng Univ, Coll Math Sci, Liaocheng 252000, Shandong, Peoples R ChinaLiaocheng Univ, Coll Math Sci, Liaocheng 252000, Shandong, Peoples R China
机构:
Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
Jiangsu Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
Jia, Zhigang
Wei, Musheng
论文数: 0引用数: 0
h-index: 0
机构:
Shanghai Normal Univ, Coll Math & Sci, Shanghai 200234, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
Wei, Musheng
Zhao, Mei-Xiang
论文数: 0引用数: 0
h-index: 0
机构:
Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
Jiangsu Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Jiangsu, Peoples R China
China Univ Min & Technol, Sch Informat & Elect Engn, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
Zhao, Mei-Xiang
Chen, Yong
论文数: 0引用数: 0
h-index: 0
机构:
Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
Jiangsu Key Lab Educ Big Data Sci & Engn, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
机构:
Liaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R ChinaLiaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R China
Sun, Jianhua
Li, Ying
论文数: 0引用数: 0
h-index: 0
机构:
Liaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R ChinaLiaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R China
Li, Ying
Liu, Xiaochen
论文数: 0引用数: 0
h-index: 0
机构:
Liaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R ChinaLiaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R China
Liu, Xiaochen
Zhang, Mingcui
论文数: 0引用数: 0
h-index: 0
机构:
Liaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R ChinaLiaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R China
机构:
Liaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R ChinaLiaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R China
Zhang, Mingcui
Li, Ying
论文数: 0引用数: 0
h-index: 0
机构:
Liaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R ChinaLiaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R China
Li, Ying
Wang, Tao
论文数: 0引用数: 0
h-index: 0
机构:
Liaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R ChinaLiaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R China
Wang, Tao
Sun, Jianhua
论文数: 0引用数: 0
h-index: 0
机构:
Liaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R ChinaLiaocheng Univ, Coll Math Sci, Res Ctr Semitensor Prod Matrices Theory & Applicat, Liaocheng 252000, Peoples R China