Comprehensive Study of Continuous Orthogonal Moments-A Systematic Review

被引:16
|
作者
Kaur, Parminder [1 ]
Pannu, Husanbir Singh [1 ]
Malhi, Avleen Kaur [1 ]
机构
[1] Thapar Inst Engn & Technol, CSED, POB 32,Bhadson Rd, Patiala 147004, Punjab, India
关键词
Jacobi Fourier moments; Pseudo-Jacobi Fourier moments; Zernike moments; Legendre moments; Gegenbauer moments; Chebyshev Fourier moments; Orthogonal Fourier Mellin moments; Laguerre moments; Gaussian-Hermite moments; continuous Hahn moments; Bessel Fourier moments; Radial Harmonic Fourier moments; JACOBI-FOURIER MOMENTS; INVARIANT IMAGE RECOGNITION; GAUSSIAN-HERMITE MOMENTS; ZERNIKE MOMENTS; CHARACTER-RECOGNITION; PATTERN-RECOGNITION; LEGENDRE MOMENTS; SCALE INVARIANTS; COMPUTATION; WATERMARKING;
D O I
10.1145/3331167
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Orthogonal moments provide an efficient mathematical framework for computer vision, image analysis, and pattern recognition. They are derived from the polynomials that are relatively perpendicular to each other. Orthogonal moments are more efficient than non-orthogonal moments for image representation with minimum attribute redundancy, robustness to noise, invariance to rotation, translation, and scaling. Orthogonal moments can be both continuous and discrete. Prominent continuous moments are Zernike, Pseudo-Zernike, Legendre, and Gaussian-Hermite. This article provides a comprehensive and comparative review for continuous orthogonal moments along with their applications.
引用
收藏
页数:30
相关论文
共 11 条
  • [1] Comparative analysis of continuous and discrete orthogonal moments for face recognition
    Kaur, Parminder
    Pannu, Husanbir Singh
    2017 INTERNATIONAL CONFERENCE OF ELECTRONICS, COMMUNICATION AND AEROSPACE TECHNOLOGY (ICECA), VOL 1, 2017, : 449 - 453
  • [2] Discrete vs. continuous orthogonal moments for image analysis
    Mukundan, R
    Ong, SH
    Lee, PA
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON IMAGING SCIENCE, SYSTEMS AND TECHNOLOGY, VOLS I AND II, 2001, : 23 - 29
  • [3] Computation strategies of orthogonal image moments: A comparative study
    Papakostas, G. A.
    Koulouriotis, D. E.
    Karakasis, E. G.
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (01) : 1 - 17
  • [4] Fast hypercomplex continuous orthogonal moments
    Zhang, Qinghua
    Huang, Fangjun
    EXPERT SYSTEMS WITH APPLICATIONS, 2024, 257
  • [5] Stereoscopic Image Description With Trinion Fractional-Order Continuous Orthogonal Moments
    Wang, Chunpeng
    Ma, Bin
    Xia, Zhiqiu
    Li, Jian
    Li, Qi
    Shi, Yun-Qing
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS FOR VIDEO TECHNOLOGY, 2022, 32 (04) : 1998 - 2012
  • [6] A Comparative Study Of Orthogonal Moments for Micro-Doppler Classification
    Machhour, Sabrina
    Grivel, Eric
    Legrand, Pierrick
    Corretja, Vincent
    Magnant, Clement
    2018 26TH EUROPEAN SIGNAL PROCESSING CONFERENCE (EUSIPCO), 2018, : 366 - 370
  • [7] Octonion continuous orthogonal moments and their applications in color stereoscopic image reconstruction and zero-watermarking
    Wang, Chunpeng
    Hao, Qixian
    Ma, Bin
    Wu, Xiaoming
    Li, Jian
    Xia, Zhiqiu
    Gao, Hongling
    ENGINEERING APPLICATIONS OF ARTIFICIAL INTELLIGENCE, 2021, 106 (106)
  • [8] Multi-dimensional hypercomplex continuous orthogonal moments for light-field images
    Wang, Chunpeng
    Zhang, Qinghua
    Xia, Zhiqiu
    Zhou, Linna
    Wei, Ziqi
    Zhang, Hao
    Ma, Bin
    EXPERT SYSTEMS WITH APPLICATIONS, 2023, 217
  • [9] Handwritten Optical Character Recognition (OCR): A Comprehensive Systematic Literature Review (SLR)
    Memon, Jamshed
    Sami, Maira
    Khan, Rizwan Ahmed
    Uddin, Mueen
    IEEE ACCESS, 2020, 8 : 142642 - 142668
  • [10] The impact of machine learning techniques in the study of bipolar disorder: A systematic review
    Librenza-Garcia, Diego
    Kotzian, Bruno Jaskulski
    Yang, Jessica
    Mwangi, Benson
    Cao, Bo
    Pereira Lima, Luiza Nunes
    Bermudez, Mariane Bagatin
    Boeira, Manuela Vianna
    Kapczinski, Flavio
    Passos, Ives Cavalcante
    NEUROSCIENCE AND BIOBEHAVIORAL REVIEWS, 2017, 80 : 538 - 554