quaternion;
image processing;
traditional methods;
convolutional neural networks;
deep learning;
CONVOLUTIONAL NEURAL-NETWORK;
SPARSE REPRESENTATION;
FACE RECOGNITION;
IMPULSE NOISE;
WATERMARKING;
CLASSIFICATION;
TRANSFORM;
RECONSTRUCTION;
SEGMENTATION;
MINIMIZATION;
D O I:
10.3390/math11092056
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
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.
机构:
Northeast Elect Power Univ, Sch Informat Engn, Jilin, Jilin, Peoples R ChinaNortheast Elect Power Univ, Sch Informat Engn, Jilin, Jilin, Peoples R China
Meng, Bo
;
Liu, XueJun
论文数: 0引用数: 0
h-index: 0
机构:
Northeast Elect Power Univ, Sch Informat Engn, Jilin, Jilin, Peoples R ChinaNortheast Elect Power Univ, Sch Informat Engn, Jilin, Jilin, Peoples R China
Liu, XueJun
;
Wang, Xiaolin
论文数: 0引用数: 0
h-index: 0
机构:
Northeast Elect Power Univ, Sch Informat Engn, Jilin, Jilin, Peoples R ChinaNortheast Elect Power Univ, Sch Informat Engn, Jilin, Jilin, Peoples R China
机构:
Yunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R ChinaYunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China
Miao, Jifei
;
论文数: 引用数:
h-index:
机构:
Kou, Kit Ian
;
Cheng, Dong
论文数: 0引用数: 0
h-index: 0
机构:
Beijing Normal Univ, Fac Arts & Sci, Dept Math, Zhuhai 519087, Peoples R ChinaYunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China
Cheng, Dong
;
Liu, Wankai
论文数: 0引用数: 0
h-index: 0
机构:
Shandong Univ Finance & Econ, Sch Stat & Math, Jinan 250014, Shandong, Peoples R ChinaYunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China
机构:
Hong Kong Baptist Univ, Ctr Math Imaging & Vis, Kowloon Tong, Hong Kong, Peoples R China
Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R ChinaHong Kong Baptist Univ, Ctr Math Imaging & Vis, Kowloon Tong, Hong Kong, Peoples R China
Ng, Michael K.
;
Weiss, Pierre
论文数: 0引用数: 0
h-index: 0
机构:
Hong Kong Baptist Univ, Ctr Math Imaging & Vis, Kowloon Tong, Hong Kong, Peoples R ChinaHong Kong Baptist Univ, Ctr Math Imaging & Vis, Kowloon Tong, Hong Kong, Peoples R China
Weiss, Pierre
;
Yuan, Xiaoming
论文数: 0引用数: 0
h-index: 0
机构:
Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R ChinaHong Kong Baptist Univ, Ctr Math Imaging & Vis, Kowloon Tong, Hong Kong, Peoples R China
机构:
Univ Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, FranceUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, France
Ngo, Long H.
;
Sirakov, Nikolay M.
论文数: 0引用数: 0
h-index: 0
机构:
Texas A&M Univ Commerce, Dept Math, Commerce, TX 75428 USAUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, France
Sirakov, Nikolay M.
;
Luong, Marie
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, FranceUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, France
Luong, Marie
;
Viennet, Emmanuel
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, FranceUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, France
Viennet, Emmanuel
;
Thuong Le-Tien
论文数: 0引用数: 0
h-index: 0
机构:
Natl Univ Ho Chi Minh City, Univ Technol, Dept Telecommun, Ho Chi Minh City 700000, VietnamUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, France
机构:
Univ Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, FranceUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, France
Ngo, Long H.
;
Luong, Marie
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, FranceUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, France
Luong, Marie
;
Sirakov, Nikolay M.
论文数: 0引用数: 0
h-index: 0
机构:
Texas A&M Univ Commerce, Dept Math, Commerce, TX USAUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, France
Sirakov, Nikolay M.
;
Viennet, Emmanuel
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, FranceUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, France
Viennet, Emmanuel
;
Thuong Le-Tien
论文数: 0引用数: 0
h-index: 0
机构:
Ho Chi Minh City Univ Technol, Dept Telecommun, Ho Chi Minh City, VietnamUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, France
机构:
Northeast Elect Power Univ, Sch Informat Engn, Jilin, Jilin, Peoples R ChinaNortheast Elect Power Univ, Sch Informat Engn, Jilin, Jilin, Peoples R China
Meng, Bo
;
Liu, XueJun
论文数: 0引用数: 0
h-index: 0
机构:
Northeast Elect Power Univ, Sch Informat Engn, Jilin, Jilin, Peoples R ChinaNortheast Elect Power Univ, Sch Informat Engn, Jilin, Jilin, Peoples R China
Liu, XueJun
;
Wang, Xiaolin
论文数: 0引用数: 0
h-index: 0
机构:
Northeast Elect Power Univ, Sch Informat Engn, Jilin, Jilin, Peoples R ChinaNortheast Elect Power Univ, Sch Informat Engn, Jilin, Jilin, Peoples R China
机构:
Yunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R ChinaYunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China
Miao, Jifei
;
论文数: 引用数:
h-index:
机构:
Kou, Kit Ian
;
Cheng, Dong
论文数: 0引用数: 0
h-index: 0
机构:
Beijing Normal Univ, Fac Arts & Sci, Dept Math, Zhuhai 519087, Peoples R ChinaYunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China
Cheng, Dong
;
Liu, Wankai
论文数: 0引用数: 0
h-index: 0
机构:
Shandong Univ Finance & Econ, Sch Stat & Math, Jinan 250014, Shandong, Peoples R ChinaYunnan Univ, Sch Math & Stat, Kunming 650091, Yunnan, Peoples R China
机构:
Hong Kong Baptist Univ, Ctr Math Imaging & Vis, Kowloon Tong, Hong Kong, Peoples R China
Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R ChinaHong Kong Baptist Univ, Ctr Math Imaging & Vis, Kowloon Tong, Hong Kong, Peoples R China
Ng, Michael K.
;
Weiss, Pierre
论文数: 0引用数: 0
h-index: 0
机构:
Hong Kong Baptist Univ, Ctr Math Imaging & Vis, Kowloon Tong, Hong Kong, Peoples R ChinaHong Kong Baptist Univ, Ctr Math Imaging & Vis, Kowloon Tong, Hong Kong, Peoples R China
Weiss, Pierre
;
Yuan, Xiaoming
论文数: 0引用数: 0
h-index: 0
机构:
Hong Kong Baptist Univ, Dept Math, Kowloon Tong, Hong Kong, Peoples R ChinaHong Kong Baptist Univ, Ctr Math Imaging & Vis, Kowloon Tong, Hong Kong, Peoples R China
机构:
Univ Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, FranceUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, France
Ngo, Long H.
;
Sirakov, Nikolay M.
论文数: 0引用数: 0
h-index: 0
机构:
Texas A&M Univ Commerce, Dept Math, Commerce, TX 75428 USAUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, France
Sirakov, Nikolay M.
;
Luong, Marie
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, FranceUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, France
Luong, Marie
;
Viennet, Emmanuel
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, FranceUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, France
Viennet, Emmanuel
;
Thuong Le-Tien
论文数: 0引用数: 0
h-index: 0
机构:
Natl Univ Ho Chi Minh City, Univ Technol, Dept Telecommun, Ho Chi Minh City 700000, VietnamUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat L2TI, UR 3043, F-93430 Villetaneuse, France
机构:
Univ Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, FranceUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, France
Ngo, Long H.
;
Luong, Marie
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, FranceUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, France
Luong, Marie
;
Sirakov, Nikolay M.
论文数: 0引用数: 0
h-index: 0
机构:
Texas A&M Univ Commerce, Dept Math, Commerce, TX USAUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, France
Sirakov, Nikolay M.
;
Viennet, Emmanuel
论文数: 0引用数: 0
h-index: 0
机构:
Univ Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, FranceUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, France
Viennet, Emmanuel
;
Thuong Le-Tien
论文数: 0引用数: 0
h-index: 0
机构:
Ho Chi Minh City Univ Technol, Dept Telecommun, Ho Chi Minh City, VietnamUniv Sorbonne Paris Nord, Lab Traitement & Transport Informat, Villetaneuse, France