Image Zooming Using Barycentric Rational Interpolation

被引:0
|
作者
Zaini, A. M. Esmaili [1 ]
Loghmani, G. Barid [2 ]
Latif, A. M. [3 ]
Karbassi, S. M. [4 ]
机构
[1] Yazd Univ, Dept Appl Math, Appl Math, Yazd, Iran
[2] Yazd Univ, Dept Appl Math, Math, Yazd, Iran
[3] Yazd Univ, Dept Comp Engn, Yazd, Iran
[4] Yazd Univ, Dept Appl Math, Appl Math & Control, Yazd, Iran
关键词
Image zooming; barycentric rational formula; rational function; interpolation;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Image zooming is one of the important issues of image processing that maintains the quality and structure of image. Zooming an image necessitates placing the extra pixels in the image data. Moreover, adding the data to the image must be consistent with the texture in the image in order to prevent artificial blocks. In this study, the required pixels are estimated using barycentric rational interpolation. The proposed method is a non-linear one which can preserve the edges and reduces the blur and block artifacts on the zoomed image. Numerical results are presented using PSNR and SSIM fidelity measures and they are compared to some other methods. The average PSNR of the original image and image zooming was 33.08 which can prove that image zooming is very similar to the original image. The experimental results reveal that the proposed method has a better performance compared to other methods and can provide good image quality.
引用
收藏
页码:67 / 86
页数:20
相关论文
共 50 条
  • [31] CONVERGENCE OF LINEAR BARYCENTRIC RATIONAL INTERPOLATION FOR ANALYTIC FUNCTIONS
    Guettel, Stefan
    Klein, Georges
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2012, 50 (05) : 2560 - 2580
  • [32] Convergence rates of a family of barycentric osculatory rational interpolation
    Jing, Ke
    Kang, Ning
    Zhu, Gongqin
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 53 (1-2) : 169 - 181
  • [33] On the Lebesgue constant of barycentric rational interpolation at equidistant nodes
    Bos, Len
    De Marchi, Stefano
    Hormann, Kai
    Klein, Georges
    NUMERISCHE MATHEMATIK, 2012, 121 (03) : 461 - 471
  • [34] Barycentric rational interpolation with no poles and high rates of approximation
    Michael S. Floater
    Kai Hormann
    Numerische Mathematik, 2007, 107 : 315 - 331
  • [35] Curvature Interpolation Method for Image Zooming
    Kim, Hakran
    Cha, Youngjoon
    Kim, Seongjai
    IEEE TRANSACTIONS ON IMAGE PROCESSING, 2011, 20 (07) : 1895 - 1903
  • [36] Linear Barycentric Rational Interpolation with Guaranteed Degree of Exactness
    Berrut, Jean-Paul
    APPROXIMATION THEORY XV, 2017, 201 : 1 - 20
  • [37] Lebesgue constants and convergence of barycentric rational interpolation on arbitrary nodes
    Szabados, J.
    DOLOMITES RESEARCH NOTES ON APPROXIMATION, 2019, 12 : 38 - 46
  • [38] Barycentric Rational Interpolation Method of the Helmholtz Equation with Irregular Domain
    Yang, Miaomiao
    Ma, Wentao
    Ge, Yongbin
    MATHEMATICAL MODELLING AND ANALYSIS, 2023, 28 (02) : 330 - 351
  • [39] Barycentric rational interpolation method for solving fractional cable equation
    Li, Jin
    Cheng, Yongling
    ELECTRONIC RESEARCH ARCHIVE, 2023, 31 (06): : 3649 - 3665
  • [40] On a Bivariate Generalization of Berrut's Barycentric Rational Interpolation to a Triangle
    Bos, Len
    De Marchi, Stefano
    MATHEMATICS, 2021, 9 (19)