Convexity-preserving Bernstein-Bezier quartic scheme

被引：4

作者：

Hussain, Maria ^{[1
]}

Abd Majid, Ahmad ^{[2
]}

Hussain, Malik Zawwar ^{[3
]}

机构：

[1] Lahore Coll Women Univ, Dept Math, Lahore, Pakistan

[2] Univ Sains Malaysia, Sch Math Sci, George Town, Malaysia

[3] Univ Punjab, Dept Math, Lahore, Pakistan

来源：

EGYPTIAN INFORMATICS JOURNAL | 2014年 / 15卷 / 02期

关键词：

Triangular surface patch; Bernstein-Bezier quartic function; Boundary Bezier ordinates; Inner Bezier ordinates; Convex scattered data;

D O I：

10.1016/j.eij.2014.04.001

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A C-1 convex surface data interpolation scheme is presented to preserve the shape of scattered data arranged over a triangular grid. Bernstein-Bezier quartic function is used for interpolation. Lower bound of the boundary and inner Bezier ordinates is determined to guarantee convexity of surface. The developed scheme is flexible and involves more relaxed constraints. (C) 2014 Production and hosting by Elsevier B. V. on behalf of Faculty of Computers and Information, Cairo University.

引用

页码：89 / 95

页数：7

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