文献类型：期刊文献

英文题名：RSVD for Three Quaternion Tensors with Applications in Color Video Watermark Processing

作者：Chen, Wen-Juan[1];Yu, Shao-Wen[1]

机构：[1]East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China

年份：2023

卷号：12

期号：3

外文期刊名：AXIOMS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000954180400001)】；

语种：英文

外文关键词：tensor decomposition; quaternion algebra

摘要：In this paper, we study the restricted singular-value decomposition (RSVD) for three quaternion tensors under the Einstein product, and give higher-order RSVD over the quaternion algebra, which can achieve simultaneous singular value decomposition of three quaternion tensors. Moreover, we give the algorithm for computing the RSVD of for quaternion tensors. What is more, we present a new blind color video watermarking scheme based on the forth-order RSVD over the quaternion algebra, and our numerical example demonstrates the effectiveness of the framework.