100 citations · 114 across the 11 of their papers we have counts for
11 papers
A Novel Wasserstein Quaternion Generative Adversarial Network for Color Image Generation
Zhigang Jia, Duan Wang, Hengkai Wang +3
Color image generation has a wide range of applications, but the existing generation models ignore the correlation among color channels, which may lead to chromatic aberration prob…
Quaternion Generative Adversarial Neural Networks and Applications to Color Image Inpainting
Duan Wang, Dandan Zhu, Meixiang Zhao +1
Color image inpainting is a challenging task in imaging science. The existing method is based on real operation, and the red, green and blue channels of the color image are process…
A New Cross-Space Total Variation Regularization Model for Color Image Restoration with Quaternion Blur Operator
Zhigang Jia, Yuelian Xiang, Meixiang Zhao +2
The cross-channel deblurring problem in color image processing is difficult to solve due to the complex coupling and structural blurring of color pixels. Until now, there are few e…
Data-Driven Bilateral Generalized Two-Dimensional Quaternion Principal Component Analysis with Application to Color Face Recognition
Mei-Xiang Zhao, Zhi-Gang Jia, Dun-Wei Gong +1
A new data-driven bilateral generalized two-dimensional quaternion principal component analysis (BiG2DQPCA) is presented to extract the features of matrix samples from both row and…
An inverse source problem for the stochastic wave equation
Xiaoli Feng, Meixia Zhao, Peijun Li +1
This paper is concerned with an inverse source problem for the stochastic wave equation driven by a fractional Brownian motion. Given the random source, the direct problem is to st…
Generalized Two-Dimensional Quaternion Principal Component Analysis with Weighting for Color Image Recognition
Zhi-Gang Jia, Zi-Jin Qiu, Qian-Yu Wang +2
One of the most powerful methods of color image recognition is the two-dimensional principle component analysis (2DQPCA) approach, which is based on quaternion representation and p…
The Multi-Symplectic Lanczos Algorithm and Its Applications to Color Image Processing
Zhigang Jia, Xuan Liu, Mei-Xiang Zhao
Low-rank approximations of original samples are playing more and more an important role in many recently proposed mathematical models from data science. A natural and initial requi…
Advanced Variations of Two-Dimensional Principal Component Analysis for Face Recognition
Meixiang Zhao, Zhigang Jia, Yunfeng Cai +2
The two-dimensional principal component analysis (2DPCA) has become one of the most powerful tools of artificial intelligent algorithms. In this paper, we review 2DPCA and its vari…
Relaxed 2-D Principal Component Analysis by Norm for Face Recognition
Xiao Chen, Zhi-Gang Jia, Yunfeng Cai +1
A relaxed two dimensional principal component analysis (R2DPCA) approach is proposed for face recognition. Different to the 2DPCA, 2DPCA- and G2DPCA, the R2DPCA utilizes the l…
Sample-Relaxed Two-Dimensional Color Principal Component Analysis for Face Recognition and Image Reconstruction
Meixiang Zhao, Zhigang Jia, Dunwei Gong
A sample-relaxed two-dimensional color principal component analysis (SR-2DCPCA) approach is presented for face recognition and image reconstruction based on quaternion models. A re…
A New Real Structure-preserving Quaternion QR Algorithm
Zhigang Jia, Musheng Wei, Meixiang Zhao +1
New real structure-preserving decompositions are introduced to develop fast and robust algorithms for the (right) eigenproblem of general quaternion matrices. Under the orthogonall…