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Higher-order singular value decomposition (HOSVD) is one of the most efficient tensor decomposition techniques. It has the salient ability to represent high_dimensional data and extract features. In more recent years, the quaternion has…

Image and Video Processing · Electrical Eng. & Systems 2021-01-05 Jifei Miao , Kit Ian Kou

The use of quaternions as a novel tool for color image representation has yielded impressive results in color image processing. By considering the color image as a unified entity rather than separate color space components, quaternions can…

Image and Video Processing · Electrical Eng. & Systems 2023-05-02 Jifei Miao , Kit Ian Kou , Liqiao Yang , Juan Han

This paper addresses the color image completion problem in accordance with low-rank quatenrion matrix optimization that is characterized by sparse regularization in a transformed domain. This research was inspired by an appreciation of the…

Computer Vision and Pattern Recognition · Computer Science 2022-04-20 Liqiao Yang , Yang Liu , Kit Ian Kou

Color in an image is resolved into 3 or 4 color components and 2-Dimages of these components are stored in separate channels. Most of the color image enhancement algorithms are applied channel-by-channel on each image. But such a system of…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Artyom M. Grigoryan , Aparna John , Sos S. Agaian

As a new color image representation tool, quaternion has achieved excellent results in color image processing problems. In this paper, we propose a novel low-rank quaternion matrix completion algorithm to recover missing data of color…

Numerical Analysis · Mathematics 2019-09-17 Jifei Miao , Kit Ian Kou

Matrix completion is one of the most challenging problems in computer vision. Recently, quaternion representations of color images have achieved competitive performance in many fields. Because it treats the color image as a whole, the…

Image and Video Processing · Electrical Eng. & Systems 2022-11-24 Juan Han , Liqiao Yang , Kit Ian Kou , Jifei Miao , Lizhi Liu

Low-rank quaternion tensor completion method, a novel approach to recovery color videos and images is proposed in this paper. We respectively reconstruct a color image and a color video as a quaternion matrix (second-order tensor) and a…

Numerical Analysis · Mathematics 2020-01-30 Jifei Miao , Kit Ian Kou , Wankai Liu

Neural networks in the real domain have been studied for a long time and achieved promising results in many vision tasks for recent years. However, the extensions of the neural network models in other number fields and their potential…

Computer Vision and Pattern Recognition · Computer Science 2019-03-05 Xuanyu Zhu , Yi Xu , Hongteng Xu , Changjian Chen

A novel low-rank completion algorithm based on the quaternion tensor is proposed in this paper. This approach uses the TQt-rank of quaternion tensor to maintain the structure of RGB channels throughout the entire process. In more detail,…

Image and Video Processing · Electrical Eng. & Systems 2022-12-19 Liqiao Yang , Kit Ian Kou , Jifei Miao , Yang Liu , Maggie Pui Man Hoi

Multi-focus color image fusion refers to integrating multiple partially focused color images to create a single all-in-focus color image. However, existing methods struggle with complex real-world scenarios due to limitations in handling…

Computer Vision and Pattern Recognition · Computer Science 2025-08-07 Weihua Yang , Yicong Zhou

Color image completion is a challenging problem in computer vision, but recent research has shown that quaternion representations of color images perform well in many areas. These representations consider the entire color image and…

Computer Vision and Pattern Recognition · Computer Science 2023-09-08 Juan Han , Kit Ian Kou , Jifei Miao , Lizhi Liu , Haojiang Li

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 separately, which overlooking the relationships between color…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Yuming Yang , Michael K. Ng , Zhigang Jia , Wei Wang

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 well-established. Our main aim is to propose a new…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 Junren Chen , Michael K. Ng

Moving target detection is a challenging computer vision task aimed at generating accurate segmentation maps in diverse in-the-wild color videos captured by static cameras. If backgrounds and targets can be simultaneously extracted and…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Liyang Wang , Shiqian Wu , Shun Fang , Qile Zhu , Jiaxin Wu , Sos Again

This paper presents a randomized quaternion singular value decomposition (QSVD) algorithm for low-rank matrix approximation problems, which are widely used in color face recognition, video compression, and signal processing problems. With…

Numerical Analysis · Mathematics 2021-12-28 Qiaohua Liu , Sitao Ling , Zhigang Jia

To address the non-negativity dropout problem of quaternion models, a novel quasi non-negative quaternion matrix factorization (QNQMF) model is presented for color image processing. To implement QNQMF, the quaternion projected gradient…

Computer Vision and Pattern Recognition · Computer Science 2022-12-01 Yifen Ke , Changfeng Ma , Zhigang Jia , Yajun Xie , Riwei Liao

The search for image compression optimization techniques is a topic of constant interest both in and out of academic circles. One method that shows promise toward future improvements in this field is image colorization since image…

Computer Vision and Pattern Recognition · Computer Science 2025-02-11 Ian Tassin , Kristen Goebel , Brittany Lasher

One of the tasks in color image processing and computer vision is to recover clean data from partial observations corrupted by noise. To this end, robust quaternion matrix completion (QMC) has recently attracted more attention and shown its…

Numerical Analysis · Mathematics 2024-10-22 Baohua Huang , Jiakai Chen , Wen Li

Convolutional neural networks (CNN) have recently achieved state-of-the-art results in various applications. In the case of image recognition, an ideal model has to learn independently of the training data, both local dependencies between…

Computer Vision and Pattern Recognition · Computer Science 2018-11-08 Titouan Parcollet , Mohamed Morchid , Georges Linarès

In this paper a quaternion approach of enhancement method is proposed in which color in the image is considered as a single entity. This new method is referred as the alpha-rooting method of color image enhancement by the two-dimensional…

Image and Video Processing · Electrical Eng. & Systems 2018-07-24 Artyom M. Grigoryan , Aparna John , Sos S. Agaian
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