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

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.

Keywords

• Gauss Curvature
• Mean Curvature
• Total Curvature
• Minkowski 4-Space
• Rational Bezier Curves

Minkowski 4-Uzayda Rasyonel Bezier Eğrilerinin Gauss, Ortalama ve Total Eğriliklerinin Formüleri

Abstract

Bu makale Minkowski 4-Uzayda 3-boyutlu ışıksı konide asimtotik çatılı Rasyonel Bezier eğrilerinin eğriliklerini kullanarak Gauss, Ortalama ve Total eğriliklerinin hesaplanmasını sunmaktadır.

Keywords

• Gauss eğriliği
• ortalama eğrilik
• total eğrilik

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