Non-local robust quaternion matrix completion for large-scale color image and video inpainting

Z Jia, Q Jin, MK Ng, XL Zhao - IEEE Transactions on Image …, 2022 - ieeexplore.ieee.org
The image nonlocal self-similarity (NSS) prior refers to the fact that a local patch often has
many nonlocal similar patches to it across the image and has been widely applied in many …

The -(anti-)Hermitian solution to a constrained Sylvester-type generalized commutative quaternion matrix equation

XY Chen, QW Wang - Banach Journal of Mathematical Analysis, 2023 - Springer
We present some practical necessary and sufficient conditions for the existence of an η-(anti-
) Hermitian solution to a constrained Sylvester-type generalized commutative quaternion …

Robust low-rank latent feature analysis for spatiotemporal signal recovery

D Wu, Z Li, Z Yu, Y He, X Luo - IEEE Transactions on Neural …, 2023 - ieeexplore.ieee.org
Wireless sensor network (WSN) is an emerging and promising developing area in the
intelligent sensing field. Due to various factors like sudden sensors breakdown or saving …

The Hermitian solution to a new system of commutative quaternion matrix equations

Y Zhang, QW Wang, LM Xie - Symmetry, 2024 - mdpi.com
This paper considers the Hermitian solutions of a new system of commutative quaternion
matrix equations, where we establish both necessary and sufficient conditions for the …

Color image inpainting via robust pure quaternion matrix completion: Error bound and weighted loss

J Chen, MK Ng - SIAM Journal on Imaging Sciences, 2022 - SIAM
In this paper, we study color image inpainting as a pure quaternion matrix completion
problem. In the literature, the theoretical guarantee for quaternion matrix completion is not …

Deep and low-rank quaternion priors for color image processing

T Xu, X Kong, Q Shen, Y Chen… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Due to the physical nature of color images, color image processing such as denoising and
inpainting has shown extensive and versatile possibilities over grayscale image processing …

Development of secrete images in image transferring system

HK Bhuyan, A Vijayaraj, V Ravi - Multimedia Tools and Applications, 2023 - Springer
This paper addresses a model to secrete the information of one image under another
without losing quality of image. Different approaches have been utilized for image hiding as …

Hypercomplex context guided interaction modeling for scene graph generation

Z Wang, X Xu, Y Luo, G Wang, Y Yang - Pattern Recognition, 2023 - Elsevier
Intuitively, humans can consciously and subjectively attend to the interactions between
objects, and thus infer reasonable visual relations. However, mainstream approaches of …

On the Partial Convexification of the Low-Rank Spectral Optimization: Rank Bounds and Algorithms

Y Li, W Xie - International Conference on Integer Programming and …, 2024 - Springer
Abstract A Low-rank Spectral Optimization Problem (LSOP) minimizes a linear objective
function subject to multiple two-sided linear inequalities intersected with a low-rank and …

Image segmentation based on fuzzy low-rank structural clustering

S Song, Z Jia, J Yang, N Kasabov - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Fuzzy clustering is an essential algorithm in image segmentation, and most of them are
based on fuzzy c-mean algorithms. However, it is sensitive to noise, center point selection …