THERMAL SCIENCE

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Seyda Kilicoglu

ON APPROXIMATION SINE WAVE WITH THE 5TH AND 7TH ORDER BEZIER PATHS IN PLANE

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.
KEYWORDS
sine wave, Bezier curve, Maclaurin series, 7th order Bezier curve
PAPER SUBMITTED: 2022-08-25
PAPER REVISED: 2022-09-15
PAPER ACCEPTED: 2022-09-25
PUBLISHED ONLINE: 2023-01-29
DOI REFERENCE: https://doi.org/10.2298/TSCI22S2539K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Special issue 2, PAGES [539 - 550]
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on approximation sine wave with the 5th and 7th order Bezier paths in plane

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence