Shape preserving visualization of monotone data using a rational cubic ball function

被引:6
|
作者
Jaafar, Wan Nurhadani Wan [1 ,2 ]
Abbas, Muhammad [2 ,3 ]
Piah, Abd Rahni Mt [2 ]
机构
[1] Univ Malaysia Perlis, Inst Engn Math, Arau 02600, Perlis, Malaysia
[2] Univ Sains Malaysia, Sch Math Sci, Usm Pulau Pinang 11800, Malaysia
[3] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan
来源
SCIENCEASIA | 2014年 / 40卷
关键词
interpolation; ball basis function; monotonicity; INTERPOLATION;
D O I
10.2306/scienceasia1513-1874.2014.40S.040
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper deals with the problem of monotonicity-preserving curves of monotonic data. An alternative curve scheme using a piecewise rational cubic ball function is presented. The function involves three shape parameters in each subinterval. Data-dependent constraints are derived for a single shape parameter to preserve the shape of data while the other two are left free to modify the monotonic curve as desired. Several numerical examples are presented to show the effectiveness and capability of the proposed scheme. The scheme is C-2, flexible, simple, local, and economical.
引用
收藏
页码:40 / 46
页数:7
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