Four Kinds of Trigonometric Spline Curves with Shape Parameter

Author

Liang, JiongFeng ; Yan, LanLan

Author_Institution

Coll. of Civil & Environ. Eng., East China Inst. of Technol., Fuzhou, China

fYear

2009

fDate

24-26 July 2009

Firstpage

660

Lastpage

663

Abstract

Four kinds of trigonometric spline curves with shape parameter are presented in this paper. The trigonometric spline curves are constructed with three consecutive control points for each curve segment. The given curves posses many properties of the quadratic B-spline. Meanwhile, they have many better properties than the quadratic B-spline curve. The given curves have continuity with equidistant knot vector, and they have continuity when choosing special parameters. The shape parameter can adjust the given curvespsila shape with the same control polygon. With the increase of the shape parameter, the trigonometric spline curves approximate to the control polygon. The given curves can be closer to the control polygon than the quadratic B-spline curve.

Keywords

computational geometry; computer graphics; splines (mathematics); control polygon; equidistant knot vector; quadratic B-spline; shape parameter; trigonometric spline curves; Analytical models; Computer graphics; Educational institutions; Information science; Mathematics; Polynomials; Shape control; Spline; Surface reconstruction; Surface topography; computer application; continuity; shape parameter; spline curve; trigonometric basis;

fLanguage

English

Publisher

ieee

Conference_Titel

Business Intelligence and Financial Engineering, 2009. BIFE '09. International Conference on

Conference_Location

Beijing

Print_ISBN

978-0-7695-3705-4

Type

conf

DOI

10.1109/BIFE.2009.154

Filename

5208798