Ternary six-point interpolating subdivision scheme

被引：9
|
作者：
Faheem K. [1 ]
Mustafa G. [1 ]
机构：
[1] Department of Mathematics, The Islamia University of Bahawalpur, Bahawalpur
来源：
Lobachevskii Journal of Mathematics | 2008年 / 29卷 / 3期
关键词：
Continuity; Interpolating subdivision scheme; Laurent polynomial; Shape parameter; Smoothness;
D O I：
10.1134/S1995080208030062
中图分类号：
学科分类号：
摘要：
We present ternary six-point interpolating subdivision scheme with one shape parameter for curve design. The behavior of the limit curve defined by the scheme is analyzed in terms of the Laurent polynomial and attains C2 degree of smoothness. © 2008 MAIK Nauka.
引用
收藏
页码：153 / 163
页数：10
相关论文
共 50 条
  • [21] On the interpolating 5-point ternary subdivision scheme: A revised proof of convexity-preservation and an application-oriented extension
    Novara, Paola
    Romani, Lucia
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2018, 147 : 194 - 209
  • [22] Ternary three point non-stationary subdivision scheme
    Siddiqi, Shahid S.
    Younis, Muhammad
    Research Journal of Applied Sciences, Engineering and Technology, 2012, 4 (13) : 1875 - 1882
  • [23] Interpolating triangular meshes by Loop subdivision scheme
    ChongYang Deng
    GuoZhao Wang
    Science China Information Sciences, 2010, 53 : 1765 - 1773
  • [24] Shape preservation of 4-point interpolating non-stationary subdivision scheme
    Akram, Ghazala
    Bibi, Khalida
    Rehan, Kashif
    Siddiqi, Shahid S.
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 319 : 480 - 492
  • [25] Reconstruction from six-point sequences
    Hartley, RI
    Dano, NY
    IEEE CONFERENCE ON COMPUTER VISION AND PATTERN RECOGNITION, PROCEEDINGS, VOL II, 2000, : 480 - 486
  • [26] Six-point plan for safer radiotherapy
    不详
    EUROPEAN JOURNAL OF CANCER, 2010, 46 (06) : 1007 - 1007
  • [27] Interpolating triangular meshes by Loop subdivision scheme
    DENG ChongYang1* & WANG GuoZhao2 1Institute of Applied Mathematics and Engineering Computations
    2Department of Mathematics
    Science China(Information Sciences), 2010, 53 (09) : 1765 - 1773
  • [28] Interpolating triangular meshes by Loop subdivision scheme
    Deng ChongYang
    Wang GuoZhao
    SCIENCE CHINA-INFORMATION SCIENCES, 2010, 53 (09) : 1765 - 1773
  • [29] Shape-Preserving Properties of a Relaxed Four-Point Interpolating Subdivision Scheme
    Ashraf, Pakeeza
    Ghaffar, Abdul
    Baleanu, Dumitru
    Sehar, Irem
    Nisar, Kottakkaran Sooppy
    Khan, Faheem
    MATHEMATICS, 2020, 8 (05)
  • [30] A classification of the six-point prime metrics
    Koolen, J
    Moulton, V
    Tönges, U
    EUROPEAN JOURNAL OF COMBINATORICS, 2000, 21 (06) : 815 - 829
12345