Curves that Shape Can Adjust

Author

Yan, LanLan ; Wu, GuoGen ; Liang, JiongFeng

Author_Institution

Coll. of Math. & Inf. Sci., East China Inst. of Technol., Fuzhou, China

Volume

1

fYear

2009

fDate

4-5 July 2009

Firstpage

553

Lastpage

556

Abstract

Three kinds of trigonometric bases are given in this paper. Based on these bases, three kinds of trigonometric spline curves with shape parameter are defined. Analogous to the quadratic B-spline curves, the curves are constructed with three consecutive control points for each curve segment. The curves posses many properties of the quadratic B-spline curve. Meanwhile, they have many better properties than the quadratic B-spline curve. For equidistant knots, they have continuity, and they have continuity when choosing special parameters. Besides, the curves are closer to the control polygon than the quadratic B-spline curves when the shape parameters satisfy certain conditions. In the last, the trigonometric spline surfaces with shape parameter are constructed. They have most properties of the corresponding curves.

Keywords

computational geometry; curve fitting; splines (mathematics); control point; equidistant knot; polygon; quadratic B-spline curve; shape parameter; trigonometric basis; trigonometric spline curve; Analytical models; 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

Environmental Science and Information Application Technology, 2009. ESIAT 2009. International Conference on

Conference_Location

Wuhan

Print_ISBN

978-0-7695-3682-8

Type

conf

DOI

10.1109/ESIAT.2009.132

Filename

5200182