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
  • [1] A combined approximating and interpolating ternary 4-point subdivision scheme
    Zhang, Li
    Ma, Huanhuan
    Tang, Shuo
    Tan, Jieqing
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 349 : 563 - 578
  • [2] Six-Point Subdivision Schemes with Cubic Precision
    Shi, Jun
    Tan, Jieqing
    Liu, Zhi
    Zhang, Li
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [3] Convexity preservation of six point C2 interpolating subdivision scheme
    Siddiqi, Shahid S.
    Noreen, Tayyaba
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 : 936 - 944
  • [4] 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
  • [5] An interpolating 4-point C2 ternary stationary subdivision scheme
    Hassan, MF
    Ivrissimitzis, IP
    Dodgson, NA
    Sabin, MA
    COMPUTER AIDED GEOMETRIC DESIGN, 2002, 19 (01) : 1 - 18
  • [6] Analysis of Geometric Properties of Ternary Four-Point Rational Interpolating Subdivision Scheme
    Ashraf, Pakeeza
    Nawaz, Bushra
    Baleanu, Dumitru
    Nisar, Kottakkaran Sooppy
    Ghaffar, Abdul
    Khan, Muhammad Aqeel Ahmed
    Akram, Saima
    MATHEMATICS, 2020, 8 (03)
  • [7] Shape Preservation of Ternary 4-point Non-Stationary Interpolating Subdivision Scheme
    Bibi, Khalida
    Akram, Ghazala
    Rehan, Kashif
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2020, 52 (01): : 77 - 97
  • [8] Shape-Preservation of the Four-Point Ternary Interpolating Non-stationary Subdivision Scheme
    Ashraf, Pakeeza
    Sabir, Mehak
    Ghaffer, Abdul
    Nisar, Kottakkaran Sooppy
    Khan, Ilyas
    FRONTIERS IN PHYSICS, 2020, 7
  • [9] Convexity preservation of the interpolating four-point C2 ternary stationary subdivision scheme
    Cai, Zhijie
    COMPUTER AIDED GEOMETRIC DESIGN, 2009, 26 (05) : 560 - 565
  • [10] An approximating subdivision based on interpolating subdivision scheme
    Tan, Jieqing
    Tong, Guangyue
    Zhang, Li
    Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao/Journal of Computer-Aided Design and Computer Graphics, 2015, 27 (07): : 1162 - 1166
12345