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

Year 2023, Volume: 13 Issue: 4, 2926 - 2933, 01.12.2023

Filiz Ertem Kaya

https://doi.org/10.21597/jist.1243458

Cited By: 1

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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