41 citations · 41 across the 9 of their papers we have counts for
9 papers
Hermitian Quaternion Toeplitz Matrices by Quaternion-valued Generating Functions
Xue-lei Lin, Michael K. Ng, Junjun Pan
In this paper, we study Hermitian quaternion Toeplitz matrices generated by quaternion-valued functions. We show that such generating function must be the sum of a real-valued func…
Non-Negative Reduced Biquaternion Matrix Factorization with Applications in Color Face Recognition
Jifei Miao, Junjun Pan, Michael K. Ng
Reduced biquaternion (RB), as a four-dimensional algebra highly suitable for representing color pixels, has recently garnered significant attention from numerous scholars. In this…
Block Diagonalization of Quaternion Circulant Matrices with Applications
Junjun Pan, Michael K. Ng
It is well-known that a complex circulant matrix can be diagonalized by a discrete Fourier matrix with imaginary unit . The main aim of this paper is to demonstrate tha…
Separable Quaternion Matrix Factorization for Polarization Images
Junjun Pan, Michael K. Ng
Polarization is a unique characteristic of transverse wave and is represented by Stokes parameters. Analysis of polarization states can reveal valuable information about the source…
Co-Separable Nonnegative Matrix Factorization
Junjun Pan, Michael K. Ng
Nonnegative matrix factorization (NMF) is a popular model in the field of pattern recognition. It aims to find a low rank approximation for nonnegative data M by a product of two n…
Nonnegative Low Rank Tensor Approximation and its Application to Multi-dimensional Images
Tai-Xiang Jiang, Michael K. Ng, Junjun Pan +1
The main aim of this paper is to develop a new algorithm for computing nonnegative low rank tensor approximation for nonnegative tensors that arise in many multi-dimensional imagin…