A NEW CLASS OF BINARY APPROXIMATING SUBDIVISION SCHEMES

被引:0
|
作者
Mustafa, Ghulam [1 ]
Ashraf, Pakeeza [1 ]
Saba, Noreen [1 ]
机构
[1] Islamia Univ Bahawalpur, Dept Math, Bahawalpur, Pakistan
来源
JURNAL TEKNOLOGI | 2016年 / 78卷 / 4-4期
关键词
Approximating scheme; continuity; polynomial reproduction; artifacts;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this article, we present a general algorithm to generate a new class of binary approximating subdivision schemes and give derivation of some family members. We discuss important properties of derived schemes such as: convergence, continuity, Holder regularity, degree of polynomial generation and reproduction, support, limit stencils and artifacts. Furthermore, visual performance of proposed schemes has also been presented. (C) 2016 Penerbit UTM Press. All rights reserved
引用
收藏
页码:65 / 72
页数:8
相关论文
共 50 条
  • [31] Exploring the flexibility of m-point quaternary approximating subdivision schemes with free parameter
    Alhefthi, Reem K.
    Ashraf, Pakeeza
    Abid, Ayesha
    Ghaffar, Abdul
    Rezapour, Shahram
    Inc, Mustafa
    AIMS MATHEMATICS, 2024, 9 (11): : 33185 - 33214
  • [32] From approximating subdivision schemes for exponential splines to high-performance interpolating algorithms
    Romani, L.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 224 (01) : 383 - 396
  • [33] An Efficient Computational Approach for Computing Subdivision Depth of Non-Stationary Binary Subdivision Schemes
    Karim, Samsul Ariffin Abdul
    Khan, Faheem
    Mustafa, Ghulam
    Shahzad, Aamir
    Asghar, Muhammad
    MATHEMATICS, 2023, 11 (11)
  • [34] From approximating to interpolatory non-stationary subdivision schemes with the same generation properties
    Costanza Conti
    Luca Gemignani
    Lucia Romani
    Advances in Computational Mathematics, 2011, 35 : 217 - 241
  • [35] From approximating to interpolatory non-stationary subdivision schemes with the same generation properties
    Conti, Costanza
    Gemignani, Luca
    Romani, Lucia
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2011, 35 (2-4) : 217 - 241
  • [36] Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms
    S. Amat
    K. Dadourian
    J. Liandrat
    Advances in Computational Mathematics, 2011, 34 : 253 - 277
  • [37] Analysis of a class of nonlinear subdivision schemes and associated multiresolution transforms
    Amat, S.
    Dadourian, K.
    Liandrat, J.
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2011, 34 (03) : 253 - 277
  • [38] Class of six-point subdivision schemes with three parameters
    School of Mathematical Sciences and Computing Technology, Central South University, Changsha 410083, China
    Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao, 2007, 7 (888-891): : 888 - 891
  • [39] Modified form of binary and ternary 3-point subdivision schemes
    Siddiqi, Shahid S.
    Rehan, Kashif
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (03) : 970 - 982
  • [40] Stationary binary subdivision schemes using radial basis function interpolation
    Lee, Byung-Gook
    Lee, Yeon Ju
    Yoon, Jungho
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2006, 25 (1-3) : 57 - 72