THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Seyda Kilicoglu

,

Semra Yurttancikmaz

HOW TO APPROXIMATE COSINE CURVE WITH 4TH AND 6TH ORDER BEZIER CURVE IN PLANE?

ABSTRACT
There are many ways to approximate cosine curve. In this study we have examined the way how the cosine curve can be written as any order Bezier curve. As a result using the Maclaurin series we have examined cosine curve as the 4th and the 6th order Bezier curve based on the control points with matrix form in E2. We give the control points of the 4th and the 6th order Bezier curve based on the coefficients. Also we give the coefficients based on the the control points of the 4th and the 6th order Bezier curve too.
KEYWORDS
cosine curve, 4th order Bezier curve, 6th order Bezier curve, Maclaurin series
PAPER SUBMITTED: 2021-08-10
PAPER REVISED: 2022-09-10
PAPER ACCEPTED: 2022-09-25
PUBLISHED ONLINE: 2023-01-29
DOI REFERENCE: https://doi.org/10.2298/TSCI22S2559K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Special issue 2, PAGES [559 - 570]
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How to approximate cosine curve with 4th and 6th order Bezier curve 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