Applications of the linear canonical transform to digital image processing

被引:1
|
作者
Goel, Navdeep [1 ]
Gabarda, Salvador [2 ]
机构
[1] Punjabi Univ, Yadavindra Dept Engn, Guru Kashi Campus, Talwandi Sabo 151302, Punjab, India
[2] Inst Opt Daza Valdes CSIC, Serrano 121, Madrid 28006, Spain
关键词
REPRESENTATION TRANSFORMATION; FRACTIONAL FOURIER; THEOREM; CLASSIFICATION;
D O I
10.1364/JOSAA.465011
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this paper, an existing approximation of discrete linear canonical transform(DLCT) is analyzed, and constraints are derived to fulfill some paramount properties as inversibility and additivity or the possibility to performclassical image operations in the frequency domain as image filtering. Giving some special values to the DLCT parameters and taking advantage of the division of the image spectrum in four zones of different significance, an application of image feature classifications is successfully investigated. Also, the required constraints are obtained to determine the suitability of the selected approximation when working with digital images. (c) 2022 Optica Publishing Group
引用
收藏
页码:1729 / 1738
页数:10
相关论文
共 50 条
  • [31] Linear canonical ambiguity function and linear canonical transform moments
    Zhao, Hui
    Ran, Qi-Wen
    Ma, Jing
    Tan, Li-Ying
    OPTIK, 2011, 122 (06): : 540 - 543
  • [32] Wavelet transform based digital image processing of photomechanics
    Fang, J
    Xiong, CY
    Li, HJ
    Li, M
    Zhang, J
    THIRD INTERNATIONAL CONFERENCE ON EXPERIMENTAL MECHANICS, 2002, 4537 : 53 - 58
  • [33] Linear Canonical Bargmann Transform
    Linghu, Rong-Qian
    Li, Bing-Zhao
    COMPLEX ANALYSIS AND OPERATOR THEORY, 2024, 19 (01)
  • [34] Metrology and the linear canonical transform
    Hennelly, Bryan M.
    Kelly, Damien P.
    Ward, Jennifer E.
    Patten, Robert
    Gopinathan, Unnikrishnan
    O'Neill, Feidhlim T.
    Sheridan, John T.
    JOURNAL OF MODERN OPTICS, 2006, 53 (15) : 2167 - 2186
  • [35] Eigenfunctions of linear canonical transform
    Pei, SC
    Ding, JJ
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2002, 50 (01) : 11 - 26
  • [36] Linear canonical Stockwell transform
    Shah, Firdous A.
    Tantary, Azhar Y.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020, 484 (01)
  • [37] Linear Canonical S Transform
    Zhang Wei
    Tao Ran
    Wang Yue
    CHINESE JOURNAL OF ELECTRONICS, 2011, 20 (01): : 63 - 66
  • [38] The properties of generalized offset linear canonical Hilbert transform and its applications
    Xu, Shuiqing
    Feng, Li
    Chai, Yi
    Hu, Youqiang
    Huang, Lei
    INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING, 2017, 15 (04)
  • [39] Novel Wigner distribution and ambiguity function for the linear canonical transform with applications
    Minh, Lai Tien
    SIGNAL IMAGE AND VIDEO PROCESSING, 2024, 18 (11) : 8387 - 8401
  • [40] New convolution and product theorem for the linear canonical transform and its applications
    Zhang, Zhi-Chao
    OPTIK, 2016, 127 (11): : 4894 - 4902