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

被引：16
|
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.
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页码：529 / 549
页数：21
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