Title :
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
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;
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.2012.21
