Title :
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
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;
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
DOI :
10.1109/CGIV.2012.22
