Results 321 to 330 of about 77,287 (351)

Quasi Non-Negative Quaternion Matrix Factorization with Application to Color Face Recognition

Journal of Scientific Computing, 2022
To address the non-negativity dropout problem of quaternion models, a novel quasi non-negative quaternion matrix factorization (QNQMF) model is presented for color image processing.
Yifen Ke, Changfeng Ma, Zhigang Jia, Yajun Xie, Riwei Liao   +4 more
semanticscholar   +1 more source

Standard Dual Quaternion Optimization and Its Applications in Hand-Eye Calibration and SLAM

Communication on Applied Mathematics and Computation, 2022
Several common dual quaternion functions, such as the power function, the magnitude function, the 2-norm function, and the kth largest eigenvalue of a dual quaternion Hermitian matrix, are standard dual quaternion functions, i.e., the standard parts of ...
L. Qi
semanticscholar   +1 more source

Minimax Principle for Eigenvalues of Dual Quaternion Hermitian Matrices and Generalized Inverses of Dual Quaternion Matrices

Numerical Functional Analysis and Optimization, 2022
Dual quaternions can represent rigid body motion in 3D spaces, and have found wide applications in robotics, 3D motion modelling and control, and computer graphics.
C. Ling, Liqun Qi, Hong Yan
semanticscholar   +1 more source

Low-Rank Quaternion Approximation for Color Image Processing

IEEE Transactions on Image Processing, 2020
Low-rank matrix approximation (LRMA)-based methods have made a great success for grayscale image processing. When handling color images, LRMA either restores each color channel independently using the monochromatic model or processes the concatenation of
Yongyong Chen, Xiaolin Xiao, Yicong Zhou
semanticscholar   +1 more source

Structure Preserving Quaternion Generalized Minimal Residual Method

SIAM Journal on Matrix Analysis and Applications, 2021
The main aim of this paper is to develop the quaternion generalized minimal residual method (QGMRES) for solving quaternion linear systems.
Zhigang Jia, M. Ng
semanticscholar   +1 more source

Proportional–Integral State Estimator for Quaternion-Valued Neural Networks With Time-Varying Delays

IEEE Transactions on Neural Networks and Learning Systems, 2021
This brief investigates the problem of state estimation of quaternion-valued neural networks (QVNNs) with time-varying delays. First, by extending the Jensen inequality to quaternion domain, an extended Jensen inequality with quaternion term is derived ...
Guoqiang Tan, Zhanshan Wang, Zhan Shi
semanticscholar   +1 more source

Quaternion Generative Adversarial Networks

Intelligent Systems Reference Library, 2021
Latest Generative Adversarial Networks (GANs) are gathering outstanding results through a large-scale training, thus employing models composed of millions of parameters requiring extensive computational capabilities.
Eleonora Grassucci, Edoardo Cicero, D. Comminiello   +2 more
semanticscholar   +1 more source

Uncertainty principles for the two‐sided offset quaternion linear canonical transform

Mathematical methods in the applied sciences, 2021
The offset quaternion linear canonical transform (OQLCT) provides a more general framework for a number of linear integral transforms in signal processing and optics, such as quaternion Fourier transform (QFT), fractional quaternion Fourier transform ...
Xiaoyu Zhu, Shenzhou Zheng
semanticscholar   +1 more source

Constrained Quaternion-Variable Convex Optimization: A Quaternion-Valued Recurrent Neural Network Approach

IEEE Transactions on Neural Networks and Learning Systems, 2020
This paper proposes a quaternion-valued one-layer recurrent neural network approach to resolve constrained convex function optimization problems with quaternion variables.
Yang Liu, Yanling Zheng, Jianquan Lu, Jinde Cao, L. Rutkowski   +4 more
semanticscholar   +1 more source

Unscented Dual Quaternion Particle Filter for SE(3) Estimation

IEEE Control Systems Letters, 2021
We present a novel dual quaternion filter for recursive estimation of rigid body motions. Based on the sequential Monte Carlo scheme, particles are deployed on the manifold of unit dual quaternions.
Kailai Li, F. Pfaff, U. Hanebeck
semanticscholar   +1 more source