Positivity-Preserving Piecewise Rational Cubic Interpolation

被引:0
|
作者
Hussain, Malik Zawwar [1 ]
Ali, Jamaludin Md. [2 ]
机构
[1] Univ Punjab, Dept Math, Lahore, Pakistan
[2] Univ Sains Malaysia, Sch Math Sci, George Town, Penang, Malaysia
关键词
Data visualization; interpolation; rational cubic;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A piecewise rational cubic spline [5] has been used to visualize the positive data in its natural form. The spline representation is interpolatory and applicable to the scalar valued data. The shape parameters in the description of a rational cubic have been constrained in such a way that they preserve the shape of the positive data in the view of positive curve. As far as visual smoothness is concerned, the curve scheme under discussion is C-r.
引用
收藏
页码:147 / 153
页数:7
相关论文
共 50 条
  • [1] C2 Positivity-Preserving Rational Cubic Ball Interpolation
    Jamil, Siti Jasmida
    Piah, Abd Rahni Mt
    [J]. PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY, 2014, 1605 : 337 - 342
  • [2] Positivity-preserving C2 rational cubic spline interpolation
    Abbas, Muhammad
    Abd Majid, Ahmad
    Awang, Mohd Nain Hj
    Ali, Jamaludin Md
    [J]. SCIENCEASIA, 2013, 39 (02): : 208 - 213
  • [3] PRESERVING POSITIVITY USING PIECEWISE CUBIC INTERPOLATION
    BUTT, S
    BRODLIE, KW
    [J]. COMPUTERS & GRAPHICS, 1993, 17 (01) : 55 - 64
  • [4] Positivity-preserving interpolation of positive data by rational cubics
    Hussain, Malik Zawwar
    Sarfraz, Muhammad
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 218 (02) : 446 - 458
  • [5] Monotonicity preserving piecewise rational cubic interpolation
    Deng, Si-Qing
    [J]. Changsha Dianli Xueyuan Xuebao/Journal of Changsha University of Electric Power, 2002, 17 (04):
  • [6] Positivity Preserving Rational Cubic Ball Constrained Interpolation
    Tahat, Ayser Nasir Hassan
    Piah, Abd Rahni Mt
    Yahya, Zainor Ridzuan
    [J]. PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY, 2014, 1605 : 331 - 336
  • [7] Positivity-preserving rational bi-cubic spline interpolation for 3D positive data
    Abbas, Muhammad
    Abd. Majid, Ahmad
    Ali, Jamaludin Md.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 234 : 460 - 476
  • [8] CONVEXITY-PRESERVING PIECEWISE RATIONAL CUBIC INTERPOLATION
    CLEMENTS, JC
    [J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1990, 27 (04) : 1016 - 1023
  • [9] Positivity Preserving Rational Cubic Trigonometric Fractal Interpolation Functions
    Chand, A. K. B.
    Tyada, K. R.
    [J]. MATHEMATICS AND COMPUTING, 2015, 139 : 187 - 202
  • [10] POSITIVITY PRESERVING INTERPOLATION BY USING RATIONAL CUBIC BALL SPLINE
    Karim, Samsul Ariffin Abdul
    [J]. JURNAL TEKNOLOGI, 2016, 78 (11): : 141 - 148