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

Year 2018, Volume: 6 Issue: 1, 144 - 148, 15.04.2018

Hatice Kuşak Samancı

https://izlik.org/JA85PE52KZ

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

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