Review of quaternion-based color image processing methods
Images are a convenient way for humans to obtain information and knowledge, but they are
often destroyed throughout the collection or distribution process. Therefore, image …
often destroyed throughout the collection or distribution process. Therefore, image …
Quaternion-based weighted nuclear norm minimization for color image restoration
Color image restoration is one of the basic tasks in pattern recognition. Unlike grayscale
image, each color image has three channels in the RGB color space. Due to the inner …
image, each color image has three channels in the RGB color space. Due to the inner …
Two-dimensional quaternion PCA and sparse PCA
Benefited from quaternion representation that is able to encode the cross-channel
correlation of color images, quaternion principle component analysis (QPCA) was proposed …
correlation of color images, quaternion principle component analysis (QPCA) was proposed …
Lanczos method for large-scale quaternion singular value decomposition
In many color image processing and recognition applications, one of the most important
targets is to compute the optimal low-rank approximations to color images, which can be …
targets is to compute the optimal low-rank approximations to color images, which can be …
The Hermitian solution to a new system of commutative quaternion matrix equations
Y Zhang, QW Wang, LM Xie - Symmetry, 2024 - mdpi.com
This paper considers the Hermitian solutions of a new system of commutative quaternion
matrix equations, where we establish both necessary and sufficient conditions for the …
matrix equations, where we establish both necessary and sufficient conditions for 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 …
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 …
A Sylvester-type matrix equation over the Hamilton quaternions with an application
LS Liu, QW Wang, MS Mehany - Mathematics, 2022 - mdpi.com
We derive the solvability conditions and a formula of a general solution to a Sylvester-type
matrix equation over Hamilton quaternions. As an application, we investigate the necessary …
matrix equation over Hamilton quaternions. As an application, we investigate the necessary …
F-2D-QPCA: A quaternion principal component analysis method for color face recognition
M Wang, L Song, K Sun, Z Jia - IEEE Access, 2020 - ieeexplore.ieee.org
Two-dimensional quaternion principal component analysis (2D-QPCA) is one of the
successful dimensionality reduction methods for color face recognition. However, 2D-QPCA …
successful dimensionality reduction methods for color face recognition. However, 2D-QPCA …
Low rank pure quaternion approximation for pure quaternion matrices
Quaternion matrices are employed successfully in many color image processing
applications. In particular, a pure quaternion matrix can be used to represent red, green, and …
applications. In particular, a pure quaternion matrix can be used to represent red, green, and …