The Quartic Trigonometric Bézier Curve with Two Shape Parameters

Author

Bashir, Uzma ; Abbas, Muhammad ; Ali, Jamaludin Md

Author_Institution

Sch. of Math. Sci., Univ. Sains Malaysia, Minden, Malaysia

fYear

2012

fDate

25-27 July 2012

Firstpage

70

Lastpage

75

Abstract

A quartic trigonometric Bézier curve with two shape parameters based on newly constructed trigonometric basis functions is presented in this paper. The curve is drawn by using end point curvature conditions and carries all the geometric features of the ordinary quartic Bézier curve. The presence of shape parameters provides an opportunity to adjust the shape of the curve by simply altering their values. The G² and C² continuity under appropriate conditions is achieved by joining two pieces of trigonometric curve.

Keywords

CAD/CAM; computational geometry; curve fitting; engineering graphics; C² continuity; CAD-CAM systems; CAGD; G² continuity; computer aided geometric design; end point curvature conditions; geometric features; ordinary quartic Bézier curve; quartic trigonometric Bézier curve; trigonometric basis functions; trigonometric curve; two shape parameters; Computer graphics; Design automation; Polynomials; Shape; Splines (mathematics); Vectors; Parametric and Geometric Continuity; Quartic trigonometric Bézier curves; Quartic trigonometric basis functions; Shape parameters;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Graphics, Imaging and Visualization (CGIV), 2012 Ninth International Conference on

Conference_Location

Hsinchu

Print_ISBN

978-1-4673-2335-2

Electronic_ISBN

978-0-7695-4778-7

Type

conf

DOI

10.1109/CGIV.2012.21

Filename

6298352