5 papers
Blind Deconvolution for Color Images Using Normalized Quaternion Kernels
Yuming Yang, Michael K. Ng, Zhigang Jia +1
In this work, we address the challenging problem of blind deconvolution for color images. Existing methods often convert color images to grayscale or process each color channel sep…
On Eigenvector Computation and Eigenvalue Reordering for the Non-Hermitian Quaternion Eigenvalue Problem
Zhigang Jia, Meiyue Shao, Yanjun Shao
In this paper we present several additions to the quaternion QR algorithm, including algorithms for eigenvector computation and eigenvalue reordering. A key outcome of the eigenval…
A fragile zero-watermarking method based on dual quaternion matrix decomposition
Mingcui Zhang, Zhigang Jia
Medical images play a crucial role in assisting diagnosis, remote consultation, and academic research. However, during the transmission and sharing process, they face serious risks…
A Novel Adaptive Low-Rank Matrix Approximation Method for Image Compression and Reconstruction
Weiwei Xu, Weijie Shen, Chang Liu +1
Low-rank matrix approximation plays an important role in various applications such as image processing, signal processing and data analysis. The existing methods require a guess of…
Flexible Quaternion Generalized Minimal Residual Method for Ill-Posed Quaternion Inverse Problems
Xuan Liu, Zhigang Jia, Xiaoqing Jin
The main goal of this paper is to propose a new quaternion total variation regularization model for solving linear ill-posed quaternion inverse problems, which arise from three-dim…