A Study of Jacobi-Fourier Moments via Image Reconstruction

被引：1
作者：
Liang, Yubing [1 ]
Liao, Simon [1 ]
机构：
[1] Univ Winnipeg, Dept Appl Comp Sci, Winnipeg, MB, Canada
来源：
2020 IEEE CANADIAN CONFERENCE ON ELECTRICAL AND COMPUTER ENGINEERING (CCECE) | 2020年
关键词：
Jacobi-Fourier moments; Jacobi polynomials; computational accuracy; image reconstruction;
D O I：
10.1109/ccece47787.2020.9255726
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we have discussed the computational aspects regarding to Jacobi-Fourier moments. A kxk numerical scheme has been applied to improve the computing accuracy of Jacobi-Fourier moments. To verify our proposed method, image reconstructions of the higher orders of Jacobi-Fourier moments have been carried out. The experimental results of reconstructing a testing image sized at 512x512 are highly satisfying. We have also conducted a study on image reconstructions from uneven order pairs of Jacobi-Fourier moments, {n, m}, and concluded that the order n and repetition m preserve the circular and radial pattern information of image, respectively.
引用
收藏
页数：6
相关论文
共 13 条
  • [1] [Anonymous], 2014, MOMENTS MOMENT INVAR
  • [2] High-precision and fast computation of Jacobi-Fourier moments for image description
    Camacho-Bello, C.
    Toxqui-Quitl, C.
    Padilla-Vivanco, A.
    Baez-Rojas, J. J.
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2014, 31 (01) : 124 - 134
  • [3] VISUAL-PATTERN RECOGNITION BY MOMENT INVARIANTS
    HU, M
    [J]. IRE TRANSACTIONS ON INFORMATION THEORY, 1962, 8 (02): : 179 - &
  • [4] On the accuracy of Zernike moments for image analysis
    Liao, SX
    Pawlak, M
    [J]. IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1998, 20 (12) : 1358 - 1364
  • [5] Generic orthogonal moments: Jacobi-Fourier moments for invariant image description
    Ping, Ziliang
    Ren, Haiping
    Zou, Jian
    Sheng, Yunlong
    Bo, Wurigen
    [J]. PATTERN RECOGNITION, 2007, 40 (04) : 1245 - 1254
  • [6] Image description with Chebyshev-Fourier moments
    Ping, ZL
    Wu, RG
    Sheng, YL
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2002, 19 (09): : 1748 - 1754
  • [7] ORTHOGONAL FOURIER-MELLIN MOMENTS FOR INVARIANT PATTERN-RECOGNITION
    SHENG, YL
    SHEN, LX
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1994, 11 (06): : 1748 - 1757
  • [8] Analysis of algorithms for fast computation of pseudo Zernike moments and their numerical stability
    Singh, Chandan
    Walia, Ekta
    Pooja
    Upneja, Rahul
    [J]. DIGITAL SIGNAL PROCESSING, 2012, 22 (06) : 1031 - 1043
  • [9] IMAGE-ANALYSIS VIA THE GENERAL-THEORY OF MOMENTS
    TEAGUE, MR
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1980, 70 (08) : 920 - 930
  • [10] ON IMAGE-ANALYSIS BY THE METHODS OF MOMENTS
    TEH, CH
    CHIN, RT
    [J]. IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1988, 10 (04) : 496 - 513
12