Convex data modelling using rational bi-cubic spline function

被引：4
|
作者：
Abbas, Muhammad [1 ,2 ]
Abd Majid, Ahmad [2 ]
Awang, Mohd Nain Hj [3 ]
Ali, Jamaludin Md [2 ]
机构：
[1] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan
[2] Univ Sains Malaysia, Sch Math Sci, Usm Penang 11800, Malaysia
[3] Univ Sains Malaysia, Sch Distance Educ, Usm Penang 11800, Malaysia
来源：
SCIENCEASIA | 2014年 / 40卷
关键词：
convex surfaces; rational bi-cubic blended function; 3D convex data; shape parameters; INTERPOLATION; ALGORITHM;
D O I：
10.2306/scienceasia1513-1874.2014.40S.031
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：
A piecewise rational cubic function in the form of a cubic/quadratic has been extended to a rational bi-cubic blended function to visualize 3D convex data. It involves twelve shape parameters in each rectangular mesh for its representation. Simple data-dependent constraints are imposed on four shape parameters to conserve convexity of convex data. The remaining shape parameters are left up to the user for modification of convex surfaces. Several numerical examples are presented to show the visually pleasing convexity preserving surfaces as compared to existing interpolants.
引用
收藏
页码：31 / 39
页数：9
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