Wankai Liu

ORCID: 0000-0003-4391-8068
Publications
Citations
Views
---
Saved
---
About
Contact & Profiles
Research Areas
  • Image and Signal Denoising Methods
  • Sparse and Compressive Sensing Techniques
  • Advanced Image Processing Techniques
  • Face and Expression Recognition
  • Digital Filter Design and Implementation
  • Software-Defined Networks and 5G
  • Nonlinear Dynamics and Pattern Formation
  • Network Security and Intrusion Detection
  • Fluid Dynamics and Turbulent Flows
  • Matrix Theory and Algorithms
  • Smart Grid Security and Resilience
  • Advanced Vision and Imaging
  • Advanced Topics in Algebra
  • Blind Source Separation Techniques
  • Tensor decomposition and applications
  • Fractional Differential Equations Solutions
  • Image Processing Techniques and Applications
  • Algebraic and Geometric Analysis

Shandong University of Finance and Economics
2020-2022

This paper proposes a decomposition called quaternion scalar and vector norm (QSVND) for approximation problems in color image processing. Different from traditional approximations that are always the single objective models (SOM), QSVND is adopted to transform SOM into bi-objective model (BOM). Furthermore, regularization used solve BOM problem as common scalarization method, which converts more reasonable SOM. can handle over-fitting or under-fitting neglected this kind of research...

10.1109/tip.2022.3229616 article EN IEEE Transactions on Image Processing 2022-12-20

This paper presents an innovative set of tools developed to support a methodology find the left eigenvalues $m$ order quaternion square matrix. It is solving four real polynomial equations not greater than $4m-3$ in variables. Some important properties these are also investigated.

10.48550/arxiv.1903.08897 preprint EN other-oa arXiv (Cornell University) 2019-01-01

Low-rank quaternion tensor completion method, a novel approach to recovery color videos and images is proposed in this paper. We respectively reconstruct image video as matrix (second-order tensor) third-order by encoding the red, green, blue channel pixel values on three imaginary parts of quaternion. Different from some traditional models which treat scalar represent channels separately, whereas, during quaternion-based reconstruction, it significant that inherent structures can be...

10.48550/arxiv.2001.10676 preprint EN other-oa arXiv (Cornell University) 2020-01-01
Coming Soon ...