on approximation sine wave with the 5th and 7th order Bezier paths in plane-Reference-Cited by-同舟云学术

on approximation sine wave with the 5th and 7th order Bezier paths in plane

Published:2022 Issue:Spec. issue 2 Volume:26 Page:539-550
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Kilicoglu Seyda¹

Affiliation:

1. Department of Mathematics, Faculty of Education, Baskent University, Ankara, Turkey

Abstract

There are many studies to approximate to sine curve or sine wave. In this study, it has been examined the way how the sine wave can be written as any order Bezier curve. First, it has been written the 5th and the 7th degree Maclaurin series expansion of the parametric form of sine curve. Also, they are 5th and the 7th order Bezier paths, based on the control points with matrix form in E2. Hence it has been given the control points of the 5th and the 7th order Bezier curve based on the coefficients of the 5th and the 7th degree Maclaurin series expansion of the sine curves in three steps. Further it has been given the coefficients based on the control points of the 5th and the 7th order Bezier curve too.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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