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
  • [41] A framework of linear canonical Hankel transform pairs in distribution spaces and their applications
    H. M. Srivastava
    Manish Kumar
    Tusharakanta Pradhan
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021, 115
  • [42] A framework of linear canonical Hankel transform pairs in distribution spaces and their applications
    Srivastava, H. M.
    Kumar, Manish
    Pradhan, Tusharakanta
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2021, 115 (04)
  • [43] New shift-invariant spaces for the linear canonical transform and their applications
    Xu, Shuiqing
    Feng, Li
    He, Yigang
    Chai, Yi
    OPTIK, 2021, 227
  • [44] Linear Canonical Transform Related Operators and Their Applications to Signal Analysis -Part II: Applications
    Wang Xiaobo
    Zhang Qiliang
    Zhou You
    Qian Jing
    Zou Hongxing
    CHINESE JOURNAL OF ELECTRONICS, 2015, 24 (02) : 312 - 316
  • [45] Linear canonical wavelet transform and linear canonical wave packet transform on the Schwartz type spaces
    Rejini, M. Thanga
    Moorthy, R. Subash
    JOURNAL OF ANALYSIS, 2023, 33 (2): : 455 - 479
  • [46] Discrete wavelet transform core for image processing applications
    Savakis, A
    Carbone, R
    REAL-TIME IMAGING IX, 2005, 5671 : 142 - 151
  • [47] Digital computation of linear canonical transform for local spectra with flexible resolution ability
    Yannan Sun
    Bingzhao Li
    Science China Information Sciences, 2019, 62
  • [48] Digital computation of linear canonical transform for local spectra with flexible resolution ability
    Sun, Yannan
    Li, Bingzhao
    SCIENCE CHINA-INFORMATION SCIENCES, 2019, 62 (04)
  • [49] Digital computation of linear canonical transform for local spectra with flexible resolution ability
    Yannan SUN
    Bingzhao LI
    ScienceChina(InformationSciences), 2019, 62 (04) : 206 - 208
  • [50] Neighborhood sequences and their applications in the digital image processing
    Fazekas, A
    Hajdu, A
    Sánta, I
    Tóth, T
    COMPUTER ANALYSIS OF IMAGES AND PATTERNS, PROCEEDINGS, 2005, 3691 : 766 - 772