Metric Properties of a Space-like Rational Bezier Curve with a Time-like Principal Normal

Authors : Hatice Kuşak Samancı

Pages : 144-148

View : 19 | Download : 6

Publication Date : 2018-04-15

Article Type : Research

Abstract :Rational Bezier curves are one of the most important computer graphics for the computer-aided geometric design (CAGD). This paper presents certain metric properties of a space-like rational Bezier curve with time-like principal normal in Minkowski 3-space. First, the Bezier curve is defined in Minkowski space. Then, Serret-Frenet frames, the curvatures, and the torsions of the curve are obtained for each space-like condition. Finally, the derivative formulas of the curve are calculated, and a numerical example is given.
Keywords : Bezier curve, CAGD, Minkowski space, space-like curve