4 citations · 11 across the 10 of their papers we have counts for
10 papers
Variable T-Product and Zero-Padding Tensor Completion with Applications
Liqun Qi, Rui Yan, Ziyan Luo +2
The T-product method based upon Discrete Fourier Transformation (DFT) has found wide applications in engineering, in particular, in image processing. In this paper, we propose vari…
A regularization-patching dual quaternion optimization method for solving the hand-eye calibration problem
Zhongming Chen, Chen Ling, Liqun Qi +1
The hand-eye calibration problem is an important application problem in robot research. Based on the 2-norm of dual quaternion vectors, we propose a new dual quaternion optimizatio…
Minimax principle for right eigenvalues of dual quaternion matrices and their generalized inverses
Chen Ling, Liqun Qi, Hong Yan
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. In this paper,…
Dual Quaternions and Dual Quaternion Vectors
Liqun Qi, Chen Ling, Hong Yan
We introduce a total order and the absolute value function for dual numbers. The absolute value function of dual numbers are with dual number values, and have properties similar to…
Randomized algorithms for the low multilinear rank approximations of tensors
Maolin Che, Yimin Wei, Hong Yan
In this paper, we focus on developing randomized algorithms for the computation of low multilinear rank approximations of tensors based on the random projection and the singular va…
On Some Sufficient Conditions for Strong Ellipticity
Weiyang Ding, Liqun Qi, Hong Yan
We establish several sufficient conditions for the strong ellipticity of any fourth-order elasticity tensor in this paper. The first presented sufficient condition is an extension…
Elasticity -tensors and the Strong Ellipticity Condition
Weiyang Ding, Jinjie Liu, Liqun Qi +1
In this paper, we establish two sufficient conditions for the strong ellipticity of any fourth-order elasticity tensor and investigate a class of tensors satisfying the strong elli…
A Quadratic Penalty Method for Hypergraph Matching
Chunfeng Cui, Qingna Li, Liqun Qi +1
Hypergraph matching is a fundamental problem in computer vision. Mathematically speaking, it maximizes a polynomial objective function, subject to assignment constraints. In this p…
Computing the -Spectral Radii of Uniform Hypergraphs with Applications
Jingya Chang, Weiyang Ding, Liqun Qi +1
The -spectral radius of a uniform hypergraph covers many important concepts, such as Lagrangian and spectral radius of the hypergraph, and is crucial for solving spectral extrem…
Computing The Analytic Connectivity of A Uniform Hypergraph
Chufeng Cui, Ziyan Luo, Liqun Qi +1
The analytic connectivity, proposed as a substitute of the algebraic connectivity in the setting of hypergraphs, is an important quantity in spectral hypergraph theory. The definit…