Eigenvalues of Quaternion Tensors with Applications to Color Video Processing
Eigenvalues of Quaternion Tensors with Applications to Color Video Processing
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DOI：
10.1007/s10915-022-02058-5
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发表时间：
2023-01-01
影响因子：
2.5
通讯作者：
Zhao，Yun-Fan
中科院分区：
文献类型：
--
作者：
He，Zhuo-Heng;Wang，Xiang-Xiang;Zhao，Yun-Fan
This paper studies the eigenvalues of quaternion tensors and their applications. Firstly, we investigate the definitions and properties of the left and right eigenvalues of the quaternion tensors. Then we establish the quaternion tensor Lanczos method to calculate the eigenvalues and eigentensors of a Hermitian quaternion tensor and the principal component analysis for the quaternion tensor. Moreover, we present thek-means method for quaternion tensor and use it to color video clustering. Finally, we conducted experiments to prove the effectiveness of the proposed theory and algorithms.
