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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…

计算机视觉与模式识别 · 计算机科学 2017-07-18 Artyom M. Grigoryan , Aparna John , Sos S. Agaian

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…

图像与视频处理 · 电气工程与系统科学 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…

图像与视频处理 · 电气工程与系统科学 2023-05-02 Jifei Miao , Kit Ian Kou , Liqiao Yang , Juan Han

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…

计算机视觉与模式识别 · 计算机科学 2025-08-07 Weihua Yang , Yicong Zhou

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…

数值分析 · 数学 2019-09-17 Jifei Miao , Kit Ian Kou

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…

图像与视频处理 · 电气工程与系统科学 2025-03-24 Shunki Tatsumi , Ryo Hayakawa , Youji Iiguni

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…

图像与视频处理 · 电气工程与系统科学 2020-07-21 Alireza Parchami , Mojtaba Mahdavi

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…

计算机视觉与模式识别 · 计算机科学 2022-04-20 Liqiao Yang , Yang Liu , Kit Ian Kou

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…

经典分析与常微分方程 · 数学 2016-07-19 Xiao Xiao Hu , Kit Ian Kou

This paper presents a novel and efficient image enhancement method based on pigment representation. Unlike conventional methods where the color transformation is restricted to pre-defined color spaces like RGB, our method dynamically adapts…

图像与视频处理 · 电气工程与系统科学 2025-10-06 Se-Ho Lee , Keunsoo Ko , Seung-Wook Kim

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…

信号处理 · 电气工程与系统科学 2020-08-12 Wenshan Bi , Dong Cheng , Kit Ian Kou

In this paper a novel data embedding technique in frequency domain has been proposed using Discrete Fourier Transform (DFT) for image authentication and secured message transmission based on hiding a large volume of data into gray images.…

密码学与安全 · 计算机科学 2012-12-17 Nabin Ghoshal , J. K. Mandal

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…

计算机视觉与模式识别 · 计算机科学 2025-12-10 Wang Chen , Ziyan Luo , Shuangyue Wang

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…

计算机视觉与模式识别 · 计算机科学 2022-12-01 Yifen Ke , Changfeng Ma , Zhigang Jia , Yajun Xie , Riwei Liao

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…

计算机视觉与模式识别 · 计算机科学 2025-11-24 Yuming Yang , Michael K. Ng , Zhigang Jia , Wei Wang

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…

数值分析 · 数学 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…

计算机视觉与模式识别 · 计算机科学 2021-01-05 Wenshan Bi Dong Cheng Wankai Liu , Kit Ian Kou

As a new color image representation tool, quaternion has achieved excellent results in the color image processing, because it treats the color image as a whole rather than as a separate color space component, thus it can make full use of…

图像与视频处理 · 电气工程与系统科学 2020-10-28 Jifei Miao , 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…

计算机视觉与模式识别 · 计算机科学 2024-01-12 Neil D. Dizon , Jeffrey A. Hogan

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…

图像与视频处理 · 电气工程与系统科学 2021-05-17 Laura Rebollo-Neira , Aurelien Inacio
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