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

来源：

MATEMATIKA | 2006年 / 22卷 / 02期

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

页码：147 / 153

页数：7

共 50 条

[41] Shape-preserving piecewise rational interpolation with higher order continuity
Han, Xuli
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 337 : 1 - 13
[42] 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
[43] Positivity-preserving flux difference splitting schemes
Parent, Bernard
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 243 : 194 - 209
[44] Positivity-Preserving Consensus of Homogeneous Multiagent Systems
Liu, Jason J. R.
Lam, James
Shu, Zhan
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2020, 65 (06) : 2724 - 2729
[45] Positivity-preserving methods for ordinary differential equations
Blanes, Sergio
Iserles, Arieh
Macnamara, Shev
[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS, 2022, 56 (06) : 1843 - 1870
[46] Monotonicity Preserving C1 Rational Cubic Ball Interpolation
Abu Hasan, Zabidi
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 : 34 - 39
[47] SHIP LINES USING CONVEXITY-PRESERVING RATIONAL CUBIC INTERPOLATION
CLEMENTS, JC
[J]. JOURNAL OF SHIP RESEARCH, 1991, 35 (01): : 28 - 31
[48] A CONVEXITY-PRESERVING C(2) PARAMETRIC RATIONAL CUBIC INTERPOLATION
CLEMENTS, JC
[J]. NUMERISCHE MATHEMATIK, 1992, 63 (02) : 165 - 171
[49] 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
[50] 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

← 1 2 3 4 5 →