Convexity preservation of six point C2 interpolating subdivision scheme

被引：6
作者：
Siddiqi, Shahid S. [1 ]
Noreen, Tayyaba [1 ]
机构：
[1] Univ Punjab, Dept Math, Lahore 54590, Pakistan
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2015年 / 265卷
关键词：
Subdivision Scheme; Interpolation; Ternary six-point Scheme; Convexity;
D O I：
10.1016/j.amc.2015.04.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the convexity preserving property of six-point ternary interpolating subdivision scheme with the tension parameter omega has been analyzed'. It should be noted that the condition on the tension parameter is determined when initial data is strictly convex. The condition has been determined when 7/972 < omega < 11/1215 the range of C-2 continuous limit curve. Significance of derived condition is elaborated through curvature plots. Some Properties of the scheme have also been explored. Conclusively the whole discussion is followed by examples. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：936 / 944
页数：9
相关论文
共 15 条
  • [1] Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators
    Amat, S.
    Donat, R.
    Trillo, J. C.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (14) : 7413 - 7421
  • [2] Cai Z., 1994, J COMPUT AIDED DES C, V6, P33
  • [3] Convexity preservation of the interpolating four-point C2 ternary stationary subdivision scheme
    Cai, Zhijie
    [J]. COMPUTER AIDED GEOMETRIC DESIGN, 2009, 26 (05) : 560 - 565
  • [4] Convexity preservation of the four-point interpolatory subdivision scheme
    Dyn, N
    Kuijt, F
    Levin, D
    van Damme, R
    [J]. COMPUTER AIDED GEOMETRIC DESIGN, 1999, 16 (08) : 789 - 792
  • [5] Dyn N., 1987, Computer-Aided Geometric Design, V4, P257, DOI 10.1016/0167-8396(87)90001-X
  • [6] Ternary six-point interpolating subdivision scheme
    Faheem K.
    Mustafa G.
    [J]. Lobachevskii Journal of Mathematics, 2008, 29 (3) : 153 - 163
  • [7] Analysis of a 6-point binary subdivision scheme
    Hao, Yong-Xia
    Wang, Ren-Hong
    Li, Chong-Jun
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (07) : 3209 - 3216
  • [8] Harizanov S., 2007, THESIS JACOBS U BREM
  • [9] Hassan M. F., CURVE SURFACE FITTIN
  • [10] 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
12