Review of quaternion-based color image processing methods

C Huang, J Li, G Gao - Mathematics, 2023 - mdpi.com
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 …

Quaternion-based 2D-DOST and stacked principal component analysis network for multimodal face recognition

Z Shao, L Li, B Li, Y Shang, G Coatrieux, H Shu… - Applied Soft …, 2024 - Elsevier
Face recognition is widely utilized and has become a ubiquitous part of daily lives. However,
original face images are often sensitive and unauthorized access could imperil personal …

Quaternions in Signal and Image Processing: A comprehensive and objective overview

S Miron, J Flamant, N Le Bihan… - IEEE Signal …, 2023 - ieeexplore.ieee.org
Quaternions are still largely misunderstood and often considered an “exotic” signal
representation without much practical utility despite the fact that they have been around 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 …

Optimizing beamforming in quaternion signal processing using projected gradient descent algorithm

Q Diao, D Xu, S Sun, DP Mandic - Signal Processing, 2025 - Elsevier
Recent advances in quaternion signal processing have drawn attention to the Quaternion
Beamforming Problem (QBP). By leveraging appropriate relaxation techniques, QBP can be …

A general framework for constrained convex quaternion optimization

J Flamant, S Miron, D Brie - IEEE Transactions on Signal …, 2021 - ieeexplore.ieee.org
This paper introduces a general framework for solving constrained convex quaternion
optimization problems in the quaternion domain. To soundly derive these new results, the …

Compressive spectrum sensing using blind-block orthogonal least squares in cognitive sensor networks

L Lu, W Xu, Y Wang - IEEE Sensors Journal, 2023 - ieeexplore.ieee.org
In cognitive sensor networks (CSNs), compressive spectrum sensing (CSS) has been shown
as a promising candidate for improving the recovery performance based on the signal …

Low-rank tensor decompositions for quaternion multiway arrays

O Imhogiemhe, J Flamant, X Luciani… - ICASSP 2023-2023 …, 2023 - ieeexplore.ieee.org
Quaternion multiway arrays appear naturally as compact representations of 3D or 4D
multidimensional signals. However, the non-commutativity of quaternion multiplication …

Cramér-Rao Lower Bounds for Unconstrained and Constrained Quaternion Parameters

S Sun, D Xu, Q Diao, DP Mandic - IEEE Transactions on Signal …, 2025 - ieeexplore.ieee.org
The Cramér-Rao lower bound (CRLB) is a fundamental result in statistical signal
processing, however, the CRLB for quaternion parameters is not yet established. To this …

Wavelet-based spatiotemporal sparse quaternion dictionary learning for reconstruction of multi-channel vibration data

Q Li - Applied Soft Computing, 2024 - Elsevier
Accurate reconstruction of multi-source data information plays an essential role in remote
intelligent operation, and prognostic and health maintenance (RIO-PHM) of industrial …