G0 - and G1-degree Reduction of Disk Bezier Curves

被引：1

作者：

Rababah, Abedallah ^{[1
]}

Fatihu, Yusuf ^{[1
]}

机构：

[1] Jordan Univ Sci & Technol, Dept Math & Stat, Irbid 22110, Jordan

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | 2015年 / 1648卷

关键词：

Disk Bezier curves; degree reduction; G(0)-continuity; G(1)-continuity; ROBUST INTERVAL ALGORITHM; APPROXIMATION;

D O I：

10.1063/1.4912832

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose methods based on two stages to find G(0) - and G(1) - multi degree reductions of disk Bezier curves. The first stage is degree reducing the centre and radius curves and the second stage is approximating the error radius curve. An example is given to illustrate the efficiency of the proposed method which shows that our method outperforms existing methods and guarantees geometric continuity conditions at the boundary disks which is very important in CAD and geometric modeling.

引用

页数：4

共 27 条

[1] DEGREE REDUCTION OF BEZIER CURVES BY UNIFORM APPROXIMATION WITH END-POINT INTERPOLATION [J].