A simultaneous decomposition for three quaternion tensors with applications in color video signal processing

被引：17
|
作者：
He, Zhuo-Heng [1 ]
Chen, Chen [2 ]
Wang, Xiang-Xiang [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Jiaotong Univ, Tong Ren Hosp, Dept Gastroenterol, Sch Med, Shanghai, Peoples R China
来源：
ANALYSIS AND APPLICATIONS | 2021年 / 19卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Multilinear algebra; quaternion; tensor decomposition; FACTORIZATION; MATRICES;
D O I：
10.1142/S0219530520400084
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a simultaneous decomposition for three quaternion tensors via Einstein product. This simultaneous decomposition transforms the given three quaternion tensors into nice forms which have only 1 and 0. We conclude with an application in the color video signal processing. This new approach only needs to store four keys to realize the simultaneous encryption and decryption of three videos.
引用
收藏
页码：529 / 549
页数：21
相关论文
共 10 条
  • [1] RSVD for Three Quaternion Tensors with Applications in Color Video Watermark Processing
    Chen, Wen-Juan
    Yu, Shao-Wen
    AXIOMS, 2023, 12 (03)
  • [2] Eigenvalues of Quaternion Tensors with Applications to Color Video Processing
    He, Zhuo-Heng
    Wang, Xiang-Xiang
    Zhao, Yun-Fan
    JOURNAL OF SCIENTIFIC COMPUTING, 2023, 94 (01)
  • [3] Some applications of a decomposition for five quaternion matrices in control system and color image processing
    He, Zhuo-Heng
    Qin, Wei-Lu
    Wang, Xiang-Xiang
    COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (06)
  • [4] Some applications of a decomposition for five quaternion matrices in control system and color image processing
    Zhuo-Heng He
    Wei-Lu Qin
    Xiang-Xiang Wang
    Computational and Applied Mathematics, 2021, 40
  • [5] Three dimensional signal processing based on quaternion
    Yamamoto, H
    Aoshima, N
    SICE 2002: PROCEEDINGS OF THE 41ST SICE ANNUAL CONFERENCE, VOLS 1-5, 2002, : 1420 - 1424
  • [6] Approximation strategy based on the T-pro duct for third-order quaternion tensors with application to color video compression
    Zheng, Meng-Meng
    Ni, Guyan
    APPLIED MATHEMATICS LETTERS, 2023, 140
  • [7] Properties of a general quaternion-valued gradient operator and its applications to signal processing
    Jiang, Meng-di
    Li, Yi
    Liu, Wei
    FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING, 2016, 17 (02) : 83 - 95
  • [8] Properties of a general quaternion-valued gradient operator and its applications to signal processing
    Meng-di Jiang
    Yi Li
    Wei Liu
    Frontiers of Information Technology & Electronic Engineering, 2016, 17 : 83 - 95
  • [9] Properties of a general quaternion-valued gradient operator and its applications to signal processing
    Meng-di JIANG
    Yi LI
    Wei LIU
    FrontiersofInformationTechnology&ElectronicEngineering, 2016, 17 (02) : 83 - 95
  • [10] The flexible tensor singular value decomposition and its applications in multisensor signal fusion processing
    Huang, Jinfeng
    Zhang, Feibin
    Safaei, Babak
    Qin, Zhaoye
    Chu, Fulei
    MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2024, 220
1