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
  • [41] Stationary binary subdivision schemes using radial basis function interpolation
    Byung-Gook Lee
    Yeon Ju Lee
    Jungho Yoon
    Advances in Computational Mathematics, 2006, 25 : 57 - 72
  • [42] A family of 2n-point approximating subdivision schemes based on least squares method
    Mustafa, Ghulam
    Hameed, Rabia
    Ata-u-Allah
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2019, 51 (09): : 137 - 154
  • [43] A class of new tuned primal subdivision schemes with high-quality limit surface in extraordinary regions
    Wang, Xu
    Ma, Weiyin
    ACM TRANSACTIONS ON GRAPHICS, 2024, 43 (06):
  • [44] An alternative method for constructing interpolatory subdivision from approximating subdivision
    Li, Xin
    Zheng, Jianmin
    COMPUTER AIDED GEOMETRIC DESIGN, 2012, 29 (07) : 474 - 484
  • [45] A New Method for the Analysis of Univariate Nonuniform Subdivision Schemes
    Dyn, Nira
    Levin, David
    Yoon, Jungho
    CONSTRUCTIVE APPROXIMATION, 2014, 40 (02) : 173 - 188
  • [46] A New Method for the Analysis of Univariate Nonuniform Subdivision Schemes
    Nira Dyn
    David Levin
    Jungho Yoon
    Constructive Approximation, 2014, 40 : 173 - 188
  • [47] A weighted binary average of point-normal pairs with application to subdivision schemes
    Lipovetsky, Evgeny
    Dyn, Nira
    COMPUTER AIDED GEOMETRIC DESIGN, 2016, 48 : 36 - 48
  • [48] Non-Stationary Four-Point Binary Blending Subdivision Schemes
    Tan J.
    Huang B.
    Shi J.
    Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao/Journal of Computer-Aided Design and Computer Graphics, 2019, 31 (04): : 629 - 638
  • [49] Using Laurent polynomial representation for the analysis of non‐uniform binary subdivision schemes
    David Levin
    Advances in Computational Mathematics, 1999, 11 : 41 - 54
  • [50] On subdivision interpolation schemes
    Gripenberg, G
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (02) : 578 - 593