Offset Approximation of Hybrid Hyperbolic Polynomial Curves

被引：6

作者：

Cao, Huanxin ^{[1
]}

Hu, Gang ^{[1
,2
]}

Wei, Guo ^{[3
]}

Zhang, Suxia ^{[1
]}

机构：

[1] Xian Univ Technol, Dept Appl Math, Xian 710054, Shaanxi, Peoples R China

[2] Xian Univ Technol, Sch Mech & Precis Instrument Engn, Xian, Shaanxi, Peoples R China

[3] Univ North Carolina Pembroke, Pembroke, NC 28372 USA

来源：

RESULTS IN MATHEMATICS | 2017年 / 72卷 / 03期

基金：

中国国家自然科学基金;

关键词：

H-Bezier curves; H-B spline curves; Shape parameter; Offset curves; Approximation of curve; Chebyshev polynomial; B-SPLINE CURVES; SHAPE-PARAMETERS; BEZIER CURVES; SURFACES; CONSTRUCTION;

D O I：

10.1007/s00025-016-0545-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, two methods for approximation of offset curves of H-B,zier curves and H-B spline curves are presented, which are based on the approximation of shifting control points and norm of parametric speed. Firstly, after calculating the perturbed vectors, the offset curve can be obtained by shifting the control points of the base curve. Then, both the Chebyshev approximation and optimal trigonometric polynomials approximation of parametric speed of base curve are presented, and two approximation functions of offset curves are also obtained. Finally, some examples are used to demonstrate their practicality.

引用

页码：1055 / 1071

页数：17

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