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Regression analysis-based approaches have been widely studied for face recognition (FR) in the past several years. More recently, to better deal with some difficult conditions such as occlusions and illumination, nuclear norm based matrix…

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

Sparse Representation (or coding) based Classification (SRC) has gained great success in face recognition in recent years. However, SRC emphasizes the sparsity too much and overlooks the correlation information which has been demonstrated…

Computer Vision and Pattern Recognition · Computer Science 2014-05-05 Jing Wang , Canyi Lu , Meng Wang , Peipei Li , Shuicheng Yan , Xuegang Hu

The low-rank quaternion matrix approximation has been successfully applied in many applications involving signal processing and color image processing. However, the cost of quaternion models for generating low-rank quaternion matrix…

Numerical Analysis · Mathematics 2024-03-01 Peng-Ling Wu , Kit Ian Kou , Hongmin Cai , Zhaoyuan Yu

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

Sparse representation based classification (SRC) is popularly used in many applications such as face recognition, and implemented in two steps: representation coding and classification. For a given set of testing images, SRC codes every…

Computer Vision and Pattern Recognition · Computer Science 2015-05-19 Liping Wang , Songcan Chen

For many years, channels of a color image have been processed individually, or the image has been converted to grayscale one with respect to color image processing. Pure quaternion representation of color images solves this issue as it…

Image and Video Processing · Electrical Eng. & Systems 2020-07-21 Alireza Parchami , Mojtaba Mahdavi

The model of low-dimensional manifold and sparse representation are two well-known concise models that suggest each data can be described by a few characteristics. Manifold learning is usually investigated for dimension reduction by…

Computer Vision and Pattern Recognition · Computer Science 2016-03-22 Xi Peng , Lei Zhang , Zhang Yi , Kok Kiong Tan

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

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

We consider the problem of robust face recognition in which both the training and test samples might be corrupted because of disguise and occlusion. Performance of conventional subspace learning methods and recently proposed sparse…

Computer Vision and Pattern Recognition · Computer Science 2019-12-18 Wen Zhao , Xiao-Jun Wu , He-Feng Yin , Zi-Qi Li

By coding a query sample as a sparse linear combination of all training samples and then classifying it by evaluating which class leads to the minimal coding residual, sparse representation based classification (SRC) leads to interesting…

Computer Vision and Pattern Recognition · Computer Science 2014-03-11 Lei Zhang , Meng Yang , Xiangchu Feng , Yi Ma , David Zhang

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

Facial image super-resolution (SR) is an important preprocessing for facial image analysis, face recognition, and image-based 3D face reconstruction. Recent convolutional neural network (CNN) based method has shown excellent performance by…

Computer Vision and Pattern Recognition · Computer Science 2019-12-24 Jung Un Yun , In Kyu Park

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

The use of sparse representation (SR) and collaborative representation (CR) for pattern classification has been widely studied in tasks such as face recognition and object categorization. Despite the success of SR/CR based classifiers, it…

Computer Vision and Pattern Recognition · Computer Science 2018-12-06 Jun Xu , Wangpeng An , Lei Zhang , David Zhang

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 preserves color information very well. However, the current…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Zhi-Gang Jia , Zi-Jin Qiu , Qian-Yu Wang , Mei-Xiang Zhao , Dan-Dan Zhu

Face manipulation techniques develop rapidly and arouse widespread public concerns. Despite that vanilla convolutional neural networks achieve acceptable performance, they suffer from the overfitting issue. To relieve this issue, there is a…

Computer Vision and Pattern Recognition · Computer Science 2022-06-07 Yunsheng Ni , Depu Meng , Changqian Yu , Chengbin Quan , Dongchun Ren , Youjian Zhao

Selecting an optimal event representation is essential for event classification in real world contexts. In this paper, we investigate the application of qualitative spatial reasoning (QSR) frameworks for classification of human-object…

Computer Vision and Pattern Recognition · Computer Science 2017-10-03 Tuan Do , James Pustejovsky

Input features are conventionally represented as vectors, matrices, or third order tensors in the real field, for color image classification. Inspired by the success of quaternion data modeling for color images in image recovery and…

Computer Vision and Pattern Recognition · Computer Science 2025-12-10 Wang Chen , Ziyan Luo , Shuangyue Wang

Quaternion matrices are employed successfully in many color image processing applications. In particular, a pure quaternion matrix can be used to represent red, green and blue channels of color images. A low-rank approximation for a pure…

Numerical Analysis · Mathematics 2021-01-01 Guangjing Song , Weiyang Ding , Michael K. Ng
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