The Rational Quadratic Trigonometric Bézier Curve with Two Shape Parameters

Author

Bashir, Uzma ; Abbas, Muhammad ; Majid, Ahmad Abd ; Ali, Jamaludin Md

Author_Institution

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

fYear

2012

fDate

25-27 July 2012

Firstpage

31

Lastpage

36

Abstract

In this paper, a newly constructed rational quadratic trigonometric Bézier curve with two shape parameters is presented. The purposed curve enjoys all the geometric properties of the traditional rational quadratic Bézier curve. The local control on the shape of the curve can be attained by altering the values of the shape parameters as well as the weight. The curve exactly represents some quadratic trigonometric curves such as the arc of an ellipse and the arc of a circle and best approximates the ordinary rational quadratic Bézier curve.

Keywords

computational geometry; quadratic programming; geometric properties; rational quadratic trigonometric Bézier curve; shape parameters; two shape parameters; Computers; Design automation; Mathematical model; Polynomials; Shape; Splines (mathematics); Quadratic trigonometric basis functions; Rational quadratic trigonometric Bézier curves; Shape parameters; Trigonometric polynomials;

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.2012.22

Filename

6298344