A new structure-preserving quaternion QR decomposition method for color image blind watermarking
Most of the existing color image watermarking schemes are designed to mark each color
channel individually, which ignores the correlation of different color channels and the …
channel individually, which ignores the correlation of different color channels and the …
Joint diagonalization for a pair of Hermitian quaternion matrices and applications to color face recognition
ST Ling, YD Li, B Yang, ZG Jia - Signal Processing, 2022 - Elsevier
A new joint diagonalization algorithm for a pair of Hermitian quaternion matrices is derived
incorporating real structure-preserving strategy. The structure-preserving joint …
incorporating real structure-preserving strategy. The structure-preserving joint …
A complex structure-preserving algorithm for computing the singular value decomposition of a quaternion matrix and its applications
D Zhang, T Jiang, C Jiang, G Wang - Numerical Algorithms, 2024 - Springer
Singular value decomposition plays a prominent role in the theoretical study and numerical
calculation of a quaternion matrix in applied sciences. This paper, by means of a complex …
calculation of a quaternion matrix in applied sciences. This paper, by means of a complex …
Advanced variations of two-dimensional principal component analysis for face recognition
The two-dimensional principal component analysis (2DPCA) has been one of the basic
methods of developing artificial intelligent algorithms. To increase the feasibility, we propose …
methods of developing artificial intelligent algorithms. To increase the feasibility, we propose …
Robust dual-color watermarking based on quaternion singular value decomposition
This paper proposes a robust dual-color watermarking based on quaternion singular value
decomposition (QSVD), which can embed large payloads into color images with low …
decomposition (QSVD), which can embed large payloads into color images with low …
A complex structure-preserving algorithm for the full rank decomposition of quaternion matrices and its applications
G Wang, D Zhang, VI Vasiliev, T Jiang - Numerical Algorithms, 2022 - Springer
In this paper, based on the Gauss transformation of a quaternion matrix, we study the full
rank decomposition of a quaternion matrix, and obtain a direct algorithm and complex …
rank decomposition of a quaternion matrix, and obtain a direct algorithm and complex …
Randomized quaternion QLP decomposition for low-rank approximation
H Ren, RR Ma, Q Liu, ZJ Bai - Journal of Scientific Computing, 2022 - Springer
The low-rank approximation of a quaternion matrix has attracted growing attention in many
applications including color image processing and signal processing. In this paper, based …
applications including color image processing and signal processing. In this paper, based …
Arnoldi method for large quaternion right eigenvalue problem
QW Wang, XX Wang - Journal of Scientific Computing, 2020 - Springer
In this paper, we investigate the Arnoldi method of the right eigenvalue problem of the large-
scale quaternion matrices. We use the real structure-preserving rather than the quaternion …
scale quaternion matrices. We use the real structure-preserving rather than the quaternion …
Complex structure-preserving method for Schrödinger equations in quaternionic quantum mechanics
Z Guo, T Jiang, VI Vasil'ev, G Wang - Numerical Algorithms, 2023 - Springer
The quaternionic Schrödinger equation∂∂ t| f⟩=-A| f⟩ is the crucial part of the study of
quaternionic quantum mechanics and plays indispensable roles in related fields. One of the …
quaternionic quantum mechanics and plays indispensable roles in related fields. One of the …
A complex structure-preserving algorithm for split quaternion matrix LDU decomposition in split quaternion mechanics
G Wang, T Jiang, Z Guo, D Zhang - Calcolo, 2021 - Springer
Matrix decompositions play a prominent role in the theoretical study and numerical
calculation of split quaternion mechanics. This paper, by means of a complex representation …
calculation of split quaternion mechanics. This paper, by means of a complex representation …