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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

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

The details of an image with noise may be restored by removing noise through a suitable image de-noising method. In this research, a new method of image de-noising based on using median filter (MF) in the wavelet domain is proposed and…

多媒体 · 计算机科学 2017-03-21 Afrah Ramadhan , Firas Mahmood , Atilla Elci

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

Quaternion wavelets are redundant wavelet transforms generalizing complex-valued non-decimated wavelet transforms. In this paper we propose a matrix-formulation for non-decimated quaternion wavelet transforms and define spectral tools for…

应用统计 · 统计学 2019-03-05 Taewoon Kong , Brani Vidakovic

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

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…

计算机视觉与模式识别 · 计算机科学 2019-03-05 Xuanyu Zhu , Yi Xu , Hongteng Xu , Changjian Chen

The bilateral filter is a useful nonlinear filter which without smoothing edges, it does spatial averaging. In the literature, the effectiveness of this method for image denoising is shown. In this paper, an extension of this method is…

计算机视觉与模式识别 · 计算机科学 2017-02-07 Seyede Mahya Hazavei , Hamid Reza Shahdoosti

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 orthogonal multifilters for astronomical image processing are presented. We obtained new orthogonal multifilters based on the orthogonal wavelet of Haar and Daubechies. Recently, multiwavelets have been introduced as a more…

计算机视觉与模式识别 · 计算机科学 2021-08-20 Vasil Kolev

Bayesian image restoration has had a long history of successful application but one of the limitations that has prevented more widespread use is that the methods are generally computationally intensive. The authors recently addressed this…

统计方法学 · 统计学 2023-06-02 Karl Young , John Kornak , Eric Friedman

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

Quaternionic signal processing provides powerful tools for efficiently managing color signals by preserving the intrinsic correlations among signal dimensions through quaternion algebra. In this paper, we address the quaternionic phase…

计算机视觉与模式识别 · 计算机科学 2025-05-09 Ren Hu , Pan Lian

Hypercomplex image processing extends conventional techniques in a unified paradigm encompassing algebraic and geometric principles. This work leverages quaternions and the two-dimensional orthogonal planes split framework (splitting of a…

Image enhancement is a technique that frequently utilized in digital image processing. In recent years, the popularity of learning-based techniques for enhancing the aesthetic performance of photographs has increased. However, the majority…

计算机视觉与模式识别 · 计算机科学 2022-12-20 Zinuo Li , Xuhang Chen , Chi-Man Pun , Shuqiang Wang

During the acquisition of an image from its source, noise always becomes an integral part of it. Various algorithms have been used in past to denoise the images. Image denoising still has scope for improvement. Visual information…

图像与视频处理 · 电气工程与系统科学 2019-09-17 Santosh Paudel , Ajay Kumar Shrestha , Pradip Singh Maharjan , Rameshwar Rijal

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…

图像与视频处理 · 电气工程与系统科学 2021-01-05 Jifei Miao , Kit Ian Kou

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…

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

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…

计算机视觉与模式识别 · 计算机科学 2018-11-08 Titouan Parcollet , Mohamed Morchid , Georges Linarès

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
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