Constrained interpolation using rational Cubic Spline with linear denominators

被引：33
|
作者：
Qi Duan [1 ]
Gongxue Xu [1 ]
Aikui Liu [1 ]
Xuefu Wang [2 ]
Fuhua Frank Cheng [2 ]
机构：
[1] Shandong University of Technology,Department of Applied Mathematics
[2] University of Kentucky,Department of Computer Science
来源：
Korean Journal of Computational and Applied Mathematics | 1999年 / 6卷 / 1期
关键词：
41A05; 65D05; 65D10; rational spline; constrained design; constrained interpolation; shape control; approximation;
D O I：
10.1007/BF02941918
中图分类号：
学科分类号：
摘要：
In this paper, a rational cubic interpolant spline with linear denominator has been constructed, and it is used to constrain interpolation curves to be bounded in the given region. Necessary and sufficient conditions for the interpolant to satisfy the constraint have been developed. The existence conditions are computationally efficient and easy to apply. Finally, the approximation properties have been studied.
引用
收藏
页码：203 / 215
页数：12
相关论文
共 50 条
  • [1] Constrained interpolation using rational cubic spline with linear denominators
    Department of Applied Mathematics, Shandong University of Technology, Jinan, 250061, China
    不详
    J. Appl. Math. Comp., 1 (203-215):
  • [2] Constrained Interpolation using Rational Cubic Spline with Three Parameters
    Karim, Samsul Ariffin Abdul
    Hasan, Mohammad Khatim
    Hashim, Ishak
    SAINS MALAYSIANA, 2019, 48 (03): : 685 - 695
  • [3] Smooth rational cubic spline interpolation
    Baumgarten, C
    Farin, G
    MATHEMATICAL METHODS FOR CURVES AND SURFACES II, 1998, : 17 - 24
  • [4] Linear/Linear Rational Spline Interpolation
    Ideon, E.
    Oja, P.
    MATHEMATICAL MODELLING AND ANALYSIS, 2010, 15 (04) : 447 - 455
  • [5] POSITIVITY PRESERVING INTERPOLATION BY USING RATIONAL CUBIC BALL SPLINE
    Karim, Samsul Ariffin Abdul
    JURNAL TEKNOLOGI, 2016, 78 (11): : 141 - 148
  • [6] Rational cubic spline interpolation with shape control
    Habib, Z
    Sarfraz, M
    Sakai, M
    COMPUTERS & GRAPHICS-UK, 2005, 29 (04): : 594 - 605
  • [7] A new class of rational cubic spline fractal interpolation function and its constrained aspects
    Katiyar, S. K.
    Chand, A. K. B.
    Kumar, G. Saravana
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 346 : 319 - 335
  • [8] Quadratic/Linear Rational Spline Interpolation
    Ideon, Erge
    Oja, Peeter
    MATHEMATICAL MODELLING AND ANALYSIS, 2013, 18 (02) : 250 - 259
  • [9] Data Interpolation Using Rational Cubic Ball Spline With Three Parameters
    Karim, Samsul Ariffin Abdul
    PROCEEDING OF THE 4TH INTERNATIONAL CONFERENCE OF FUNDAMENTAL AND APPLIED SCIENCES 2016 (ICFAS2016), 2016, 1787
  • [10] Constrained rational cubic spline and its application
    Duan, Q
    Zhang, HL
    Lai, X
    Xie, N
    Cheng, FH
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2001, 19 (02) : 143 - 150
12345