The Effect of Shape Parameters on Hyperbolic Polynomial Uniform B-Spline Curve Model

Author

Liu Xumin ; Guan Yong ; Xu Weixiang ; Shang Yuanyuan

Author_Institution

Sch. of Inf. Eng., Capital Normal Univ., Beijing, China

fYear

2009

fDate

19-20 Dec. 2009

Firstpage

1

Lastpage

4

Abstract

In this paper, we have studied in depth hyperbolic polynomial uniform B-spline model with shape parameters. Based on this model, we have given an example of freedom curve modeling, and analyzed the effect that different shape parameters have on the change of the shape of the curves. We also developed a space freedom surface modeling system (SFSMS) on the Microsoft computer. Through the system, we processed with the freedom surface modeling, gave examples for its application, and discussed how the adjustment of the shape parameter affects the change of the shape of freedom surface.

Keywords

CAD; engineering graphics; polynomials; splines (mathematics); Microsoft computer; computer aided geometric design; computer graphics; depth hyperbolic polynomial uniform B-spline model; freedom curve modeling; shape parameter effect; space freedom surface modeling system; Application software; Arithmetic; Computer graphics; Mathematical model; Polynomials; Shape control; Solid modeling; Spline; Traffic control; Transportation;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Engineering and Computer Science, 2009. ICIECS 2009. International Conference on

Conference_Location

Wuhan

Print_ISBN

978-1-4244-4994-1

Type

conf

DOI

10.1109/ICIECS.2009.5363538

Filename

5363538