Positivity-preserving rational bi-cubic spline interpolation for 3D positive data

被引：21
|
作者：
Abbas, Muhammad [1 ,2 ]
Abd. Majid, Ahmad [2 ]
Ali, Jamaludin Md. [2 ]
机构：
[1] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan
[2] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Penang, Malaysia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 234卷
关键词：
Shape preserving bi-cubic interpolation; Data visualization; Positivity-preserving surface; Shape parameters; CONSTRAINTS;
D O I：
10.1016/j.amc.2014.02.031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the shape preserving interpolation problem for visualization of 3D positive data. A required display of 3D data looks smooth and pleasant. A rational bi- cubic function involving six shape parameters is presented for this objective which is an extension of piecewise rational function in the form of cubic/quadratic involving three shape parameters. Simple data dependent constraints for shape parameters are derived to conserve the inherited shape feature (positivity) of 3D data. Remaining shape parameters are left free for designer to modify the shape of positive surface as per industrial needs. The interpolant is not only local, C-1 but also it is a computationally economical in comparison with existing schemes. Several numerical examples are supplied to support the worth of proposed interpolant. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：460 / 476
页数：17
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