APPROXIMATION AND INTERPOLATION BY CONVEXITY-PRESERVING RATIONAL SPLINES

被引:2
|
作者
KAUFMAN, EH [1 ]
TAYLOR, GD [1 ]
机构
[1] COLORADO STATE UNIV,DEPT MATH,FT COLLINS,CO 80523
关键词
RATIONAL SPLINES; DATA INTERPOLATION AND APPROXIMATION; CONVEXITY-PRESERVING DATA FITTING;
D O I
10.1007/BF01263067
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A discussion and algorithm for combined interpolation and approximation by convexity-preserving rational splines is given.
引用
收藏
页码:275 / 283
页数:9
相关论文
共 50 条
  • [41] Monotonicity Preserving Splines Using Rational Ball Cubic Interpolation
    Zakaria, Wan Zafira Ezza Wan
    Jamal, Ena
    Ali, Jamaludin Md.
    [J]. 22ND NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM22), 2015, 1682
  • [42] Monotonicity Preserving Splines Using Rational Cubic Timmer Interpolation
    Zakaria, Wan Zafira Ezza Wan
    Alimin, Nur Safiyah
    Ali, Jamaludin Md
    [J]. PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION, 2017, 1870
  • [43] C2 Local convexity-preserving interpolation through the control point form method
    Rossana Morandi
    Alessandra Sestini
    [J]. The Visual Computer, 1999, 15 : 483 - 493
  • [44] C2 Local convexity-preserving interpolation through the control point form method
    Morandi, R
    Sestini, A
    [J]. VISUAL COMPUTER, 1999, 15 (10): : 483 - 493
  • [45] Algorithm 833:: CSRFPACK -: Interpolation of scattered data with a C1 convexity-preserving surface
    Renka, RJ
    [J]. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2004, 30 (02): : 200 - 211
  • [46] Convexity-preserving B-spline modification
    Goodman, TNT
    Unsworth, K
    [J]. MATHEMATICAL ENGINEERING IN INDUSTRY, 1999, 7 (02) : 155 - 164
  • [47] Convexity preserving interpolation
    Li, AD
    [J]. COMPUTER AIDED GEOMETRIC DESIGN, 1999, 16 (02) : 127 - 147
  • [48] A SHAPE PRESERVING AREA TRUE APPROXIMATION OF HISTOGRAM BY RATIONAL SPLINES
    SAKAI, M
    USMANI, RA
    [J]. BIT, 1988, 28 (02): : 329 - 339
  • [49] Preserving convexity through rational cubic spline fractal interpolation function
    Viswanathan, P.
    Chand, A. K. B.
    Agarwal, R. P.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 263 : 262 - 276
  • [50] Interactive shape preserving interpolation by curvature continuous rational cubic splines
    Seymour, C
    Unsworth, K
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 102 (01) : 87 - 117