Shape preserving data visualization with cubic splines

被引:0
|
作者
Sarfraz, M [1 ]
Hussain, MZ [1 ]
Chaudhry, FS [1 ]
机构
[1] King Fahd Univ Petr & Minerals, Dept Comp & Informat Sci, Dhahran, Saudi Arabia
关键词
visualization; data; spline; interpolation; shape;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
A piecewise cubic spline has been introduced to preserve the shape of the data when it is convex or monotone. The spline representation is interpolatory and applicable to the scalar valued data. The shape parameters, in the description of the cubic, have been constrained in such a way that they control the shape of the curve to avoid any noise. As far as visual smoothness is concerned, the curve scheme under discussion is GC(1).
引用
收藏
页码:1661 / 1664
页数:4
相关论文
共 50 条
  • [31] Spatial shape‐preserving interpolation using ν‐splines
    M.I. Karavelas
    P.D. Kaklis
    [J]. Numerical Algorithms, 2000, 23 : 217 - 250
  • [32] Preserving monotonic shape of the data using piecewise rational cubic functions
    Sarfraz, M
    AlMulhem, M
    Ashraf, F
    [J]. COMPUTERS & GRAPHICS, 1997, 21 (01) : 5 - 14
  • [33] Convex preserving scattered data interpolation using bivariate C1 cubic splines
    Lai, MJ
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 119 (1-2) : 249 - 258
  • [34] SHAPE PRESERVING PIECEWISE CUBIC INTERPOLATION
    Luo Yang and Zhu Huiyan
    [J]. Applied Mathematics:A Journal of Chinese Universities, 1996, (04) : 45 - 50
  • [35] 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
  • [36] 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
  • [37] PARAMETRIC CUBIC-SPLINES AND GEOLOGIC SHAPE DESCRIPTIONS
    EVANS, DG
    SCHWEITZER, PN
    HANNA, MS
    [J]. JOURNAL OF THE INTERNATIONAL ASSOCIATION FOR MATHEMATICAL GEOLOGY, 1985, 17 (06): : 611 - 624
  • [38] SHAPE PRESERVING HISTOPOLATION USING RATIONAL QUADRATIC SPLINES
    SCHMIDT, JW
    HESS, W
    NORDHEIM, T
    [J]. COMPUTING, 1990, 44 (03) : 245 - 258
  • [39] NUMERICAL-CALCULATIONS OF DISCONTINUITIES BY SHAPE PRESERVING SPLINES
    SHOUCRI, MM
    [J]. JOURNAL OF COMPUTATIONAL PHYSICS, 1983, 49 (02) : 334 - 341
  • [40] Shape Preserving Hermite Interpolation by Rational Biquadratic Splines
    Sablonniere, Paul
    [J]. MATHEMATICAL METHODS FOR CURVES AND SURFACES, 2010, 5862 : 370 - 384