A family of 4-point odd-ary non-stationary subdivision schemes

被引:0
|
作者
Mustafa G. [1 ]
Ashraf P. [1 ]
机构
[1] Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur
关键词
Interpolating scheme; Lagrange polynomial; Non-stationary; Odd-ary scheme;
D O I
10.1007/s40324-014-0029-2
中图分类号
学科分类号
摘要
In this article, we present a family of 4-point odd-ary interpolating non-stationary schemes. This family of schemes is based on Lagrange trigonometric polynomial. These non-stationary schemes reproduce functions spanned by { 1 , cos α(x) , sin α(x) }. Some examples are also given to show visual performance of the schemes. © 2014, Sociedad Española de Matemática Aplicada.
引用
收藏
页码:77 / 91
页数:14
相关论文
共 50 条
  • [31] Analysis of non-stationary Hermite subdivision schemes reproducing exponential polynomials
    Jeong, Byeongseon
    Yoon, Jungho
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 349 : 452 - 469
  • [32] Non-stationary subdivision schemes for surface interpolation based on exponential polynomials
    Lee, Yeon Ju
    Yoon, Jungho
    [J]. APPLIED NUMERICAL MATHEMATICS, 2010, 60 (1-2) : 130 - 141
  • [33] Construction of Trigonometric Box Splines and the Associated Non-Stationary Subdivision Schemes
    Jena H.
    Jena M.K.
    [J]. International Journal of Applied and Computational Mathematics, 2021, 7 (4)
  • [34] Convergence of univariate non-stationary subdivision schemes via asymptotic similarity
    Conti, C.
    Dyn, N.
    Manni, C.
    Mazure, M. -L.
    [J]. COMPUTER AIDED GEOMETRIC DESIGN, 2015, 37 : 1 - 8
  • [35] An interpolating 4-point C2 ternary stationary subdivision scheme
    Hassan, MF
    Ivrissimitzis, IP
    Dodgson, NA
    Sabin, MA
    [J]. COMPUTER AIDED GEOMETRIC DESIGN, 2002, 19 (01) : 1 - 18
  • [36] A 4-point Hermite subdivision scheme
    Dubuc, S
    Merrien, JL
    [J]. MATHEMATICAL METHODS FOR CURVES AND SURFACES: OSLO 2000, 2001, : 113 - 122
  • [37] Construction of binary four and five point non-stationary subdivision schemes from hyperbolic B-splines
    Siddiqi, Shahid S.
    Salam, Wardat Us
    Rehan, Kashif
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 280 : 30 - 38
  • [38] A Symmetric Non-Stationary Loop Subdivision with Applications in Initial Point Interpolation
    Zhang, Baoxing
    Zhang, Yunkun
    Zheng, Hongchan
    [J]. SYMMETRY-BASEL, 2024, 16 (03):
  • [39] A new non-stationary binary 6-point subdivision scheme
    Siddiqi, Shahid S.
    Salam, Wardat Us
    Rehan, Kashif
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 268 : 1227 - 1239
  • [40] From approximating to interpolatory non-stationary subdivision schemes with the same generation properties
    Conti, Costanza
    Gemignani, Luca
    Romani, Lucia
    [J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2011, 35 (2-4) : 217 - 241