A subdivision scheme for approximating circular helix with NURBS curve

Author

Pu, Xiongyin ; Liu, Weijun

Author_Institution

Modern Equip. Res. Design Center, Chinese Acad. of Sci., Shenyang, China

fYear

2009

fDate

26-29 Nov. 2009

Firstpage

620

Lastpage

624

Abstract

An initial approximation circular helix with quadratic NURBS curve is represented by combining the algorithm for the planar NURBS circular arc and the height function defined by using the knot insertion and the degree elevation for linear NURBS. For given tolerance, a subdivision scheme based on de Boor algorithm for approximating NURBS helix curve is proposed. The modification subdivision scheme is easy and stabilized for keeping on improvement the approximation value and eliminates the blending algorithm for Bezier segments. Numerical examples are given to illustrate the efficiency of the method.

Keywords

CAD; approximation theory; computational geometry; engineering graphics; splines (mathematics); Bezier segments; Boor algorithm; NURBS curve; approximation circular helix; computer aided geometric design; degree elevation; knot insertion; planar NURBS circular; quadratic NURBS curve; subdivision scheme; Approximation algorithms; Design automation; Error analysis; Geometry; Kinematics; Polynomials; Solid modeling; Spline; Surface reconstruction; Surface topography; Approximation; Helix; NURBS curves; Subdivision;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer-Aided Industrial Design & Conceptual Design, 2009. CAID & CD 2009. IEEE 10th International Conference on

Conference_Location

Wenzhou

Print_ISBN

978-1-4244-5266-8

Electronic_ISBN

978-1-4244-5268-2

Type

conf

DOI

10.1109/CAIDCD.2009.5374879

Filename

5374879