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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

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

A novel method of color image enhancement is proposed, in which three or four color channels of the image are transformed to one channel 2-D grayscale image. This paper describes different models of such transformations in the RGB and other…

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

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

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

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

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

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 propose a depth-aided color image inpainting method in the quaternion domain, called depth-aided low-rank quaternion matrix completion (D-LRQMC). In conventional quaternion-based inpainting techniques, the color image is…

Image and Video Processing · Electrical Eng. & Systems 2025-03-24 Shunki Tatsumi , Ryo Hayakawa , Youji Iiguni

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

This paper presents a robust filter called quaternion Hardy filter (QHF) for color image edge detection. The QHF can be capable of color edge feature enhancement and noise resistance. It is flexible to use QHF by selecting suitable…

Signal Processing · Electrical Eng. & Systems 2020-08-12 Wenshan Bi , Dong Cheng , Kit Ian Kou

Over the past century, a correlation has been an essential mathematical technique utilized in engineering sciences, including practically every signal/image processing field. This paper describes an effective method of calculating the…

Commutative Algebra · Mathematics 2022-05-12 Artyom M. Grigoryan , Sos S. Agaian

The Quaternion Fourier transform (QFT) is one of the key tools in studying color image processing. Indeed, a deep understanding of the QFT has created the color images to be transformed as whole, rather than as color separated component. In…

Classical Analysis and ODEs · Mathematics 2016-07-19 Xiao Xiao Hu , Kit Ian Kou

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

This paper presents a robust filter called quaternion Hardy filter (QHF) for color image edge detection. The QHF can be capable of color edge feature enhancement and noise resistance. It is flexible to use QHF by selecting suitable…

Computer Vision and Pattern Recognition · Computer Science 2021-01-05 Wenshan Bi Dong Cheng Wankai Liu , Kit Ian Kou

Recently, novel quaternion-valued wavelets on the plane were constructed using an optimisation approach. These wavelets are compactly supported, smooth, orthonormal, non-separable and truly quaternionic. However, they have not been tested…

Computer Vision and Pattern Recognition · Computer Science 2024-01-12 Neil D. Dizon , Jeffrey A. Hogan

A novel color image enhancement method is proposed based on Retinex to enhance color images under non-uniform illumination or poor visibility conditions. Different from the conventional Retinex algorithms, the Weighted Guided Image Filter…

Computer Vision and Pattern Recognition · Computer Science 2018-12-27 Qi Mu , Yanyan Wei , Zhanli Li

Image colorization is a challenging problem due to multi-modal uncertainty and high ill-posedness. Directly training a deep neural network usually leads to incorrect semantic colors and low color richness. While transformer-based methods…

Computer Vision and Pattern Recognition · Computer Science 2023-09-06 Xiaoyang Kang , Tao Yang , Wenqi Ouyang , Peiran Ren , Lingzhi Li , Xuansong Xie

With the advancement in technology, digital images can easily be transmitted and stored over the Internet. Encryption is used to avoid illegal interception of digital images. Encrypting large-sized colour images in their original dimension…

Transformations for enhancing sparsity in the approximation of color images by 2D atomic decomposition are discussed. The sparsity is firstly considered with respect to the most significant coefficients in the wavelet decomposition of the…

Image and Video Processing · Electrical Eng. & Systems 2021-05-17 Laura Rebollo-Neira , Aurelien Inacio
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