Gauss, Mean and Total Curvature Formulae of Rational Bezier Curves in Minkowski 4-Space

Filiz Ertem Kaya
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Abstract

In this paper Gaussian, Mean and total curvature formulae of Rational Bezier Curves with asymptotic frame field are calculated by using its curvatures in 3- dimensional lightlike cone in Minkowski 4- Space. Our main intention is to introduce and investigate some differential geometric properties of the the Rational Bezier Curves with asymptotic frame field in 3- dimensional lightlike cone in Minkowski 4- Space by using its curvatures.
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闵科夫斯基 4 空间中有理贝塞尔曲线的高斯、平均和总曲率公式
本文利用在闵科夫斯基四维空间的三维类光圆锥中的曲率,计算了具有渐近框架场的有理贝塞尔曲线的高斯、平均和总曲率公式。我们的主要目的是介绍和研究在闵科夫斯基四维空间的三维类光锥体中利用渐近框场的有理贝塞尔曲线的曲率的一些微分几何性质。
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