Review of Quaternion-Based Color Image Processing Methods

Images are a convenient way for humans to obtain information and knowledge, but they are often destroyed throughout the collection or distribution process. Therefore, image processing evolves as the need arises, and color image processing is a broad and active field. A color image includes three dis...

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Main Authors: Chaoyan Huang, Juncheng Li, Guangwei Gao
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/11/9/2056
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author Chaoyan Huang
Juncheng Li
Guangwei Gao
author_facet Chaoyan Huang
Juncheng Li
Guangwei Gao
author_sort Chaoyan Huang
collection DOAJ
description Images are a convenient way for humans to obtain information and knowledge, but they are often destroyed throughout the collection or distribution process. Therefore, image processing evolves as the need arises, and color image processing is a broad and active field. A color image includes three distinct but closely related channels (red, green, and blue (RGB)). Compared to directly expressing color images as vectors or matrices, the quaternion representation offers an effective alternative. There are several papers and works on this subject, as well as numerous definitions, hypotheses, and methodologies. Our observations indicate that the quaternion representation method is effective, and models and methods based on it have rapidly developed. Hence, the purpose of this paper is to review and categorize past methods, as well as study their efficacy and computational examples. We hope that this research will be helpful to academics interested in quaternion representation.
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spelling doaj.art-38cae8e9f5fc4774b9f7081b33f994d82023-11-17T23:19:25ZengMDPI AGMathematics2227-73902023-04-01119205610.3390/math11092056Review of Quaternion-Based Color Image Processing MethodsChaoyan Huang0Juncheng Li1Guangwei Gao2Department of Mathematics, The Chinese University of Hong Kong, Hong Kong, ChinaSchool of Communication & Information Engineering, Shanghai University, Shanghai 200444, ChinaInstitute of Advanced Technology, Nanjing University of Posts and Telecommunications, Nanjing 210049, ChinaImages are a convenient way for humans to obtain information and knowledge, but they are often destroyed throughout the collection or distribution process. Therefore, image processing evolves as the need arises, and color image processing is a broad and active field. A color image includes three distinct but closely related channels (red, green, and blue (RGB)). Compared to directly expressing color images as vectors or matrices, the quaternion representation offers an effective alternative. There are several papers and works on this subject, as well as numerous definitions, hypotheses, and methodologies. Our observations indicate that the quaternion representation method is effective, and models and methods based on it have rapidly developed. Hence, the purpose of this paper is to review and categorize past methods, as well as study their efficacy and computational examples. We hope that this research will be helpful to academics interested in quaternion representation.https://www.mdpi.com/2227-7390/11/9/2056quaternionimage processingtraditional methodsconvolutional neural networksdeep learning
spellingShingle Chaoyan Huang
Juncheng Li
Guangwei Gao
Review of Quaternion-Based Color Image Processing Methods
Mathematics
quaternion
image processing
traditional methods
convolutional neural networks
deep learning
title Review of Quaternion-Based Color Image Processing Methods
title_full Review of Quaternion-Based Color Image Processing Methods
title_fullStr Review of Quaternion-Based Color Image Processing Methods
title_full_unstemmed Review of Quaternion-Based Color Image Processing Methods
title_short Review of Quaternion-Based Color Image Processing Methods
title_sort review of quaternion based color image processing methods
topic quaternion
image processing
traditional methods
convolutional neural networks
deep learning
url https://www.mdpi.com/2227-7390/11/9/2056
work_keys_str_mv AT chaoyanhuang reviewofquaternionbasedcolorimageprocessingmethods
AT junchengli reviewofquaternionbasedcolorimageprocessingmethods
AT guangweigao reviewofquaternionbasedcolorimageprocessingmethods