Journal Article

·2020 OPEN ACCESS

Some Notes on Geometry of Bézier Curves in Euclidean 4-Space

Esra Erkan YTU , Salîm Yüce YTU

Journal of Engineering Technology and Applied Sciences

Abstract

The main purpose of this paper is to investigate Bézier curves in the Euclidean space $E^4$ with respect to differential geometry. For this purpose, the Serret-Frenet elements at every point, starting point and ending points are computed.

Keywords

Differential geometry of curves Euclidean space Point (geometry) Geometry Differential geometry Euclidean geometry Frenet–Serret formulas Mathematics Space (punctuation) Bézier curve Differential (mechanical device) Mathematical analysis Computer science Differential equation Physics Ordinary differential equation Curvature

Subject Areas

Advanced Numerical Analysis Techniques ·Computational Mechanics ·Physical Sciences

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