A Modelling on the Exponential Curves as $Cubic$, $5^{th}$ and $7^{th}$ B\'{e}zier Curve in Plane

Author:

KILIÇOGLU Şeyda1ORCID,YURTTANÇIKMAZ Semra2ORCID

Affiliation:

1. Başkent University

2. Atatürk University

Abstract

In this study, it has been researched the exponential curve as a $3^{rd},$ $5^{th}$ and $7^{th}$ order B\'{e}zier curve in $\mathbf{E}^{2}$. Also, the numerical matrix representations of these curves have been calculated using the Maclaurin series in the plane via the control points.

Publisher

Communications in Advanced Mathematical Sciences

Subject

General Medicine

Reference21 articles.

1. [1] D. Marsh, Applied Geometry for Computer Graphics and CAD, Springer Science and Business Media, 2006.

2. [2] E. Cohen, R. F. Riesenfeld, General matrix representations for B´ezier and B-spline curves, Computers in Industry, 3(1-2) (1982), 9-15.

3. [3] T.A. Aydin, A matrix presentation of higher order derivatives of Bezier curves and surfaces, Journal of Science and Art, 21(1) (2021), 77-90.

4. [4] Ş. Kılışoğlu, S. Şenyurt, On the Matrix Representation of 5th order B´ezier Curve and derivatives, Commun. Fac. Sci. Univ. Ank. Ser. A1. Math. Stat., 71(1) (2022), 133-152.

5. [5] Ş. Kılıçoğlu, On Approximation of Helix by 3rd; 5th and 7th order B´ezier curves in E3, Thermal Science, 26(2) (2023), 525-538.

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