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Title: | ON THE MATRIX REPRESENTATION OF 5th ORDER BEZIER CURVE AND ITS DERIVATIVES IN E3 |
Authors: | Kilicoglu, Seyda Senyurt, Suleyman Ordu Üniversitesi |
Keywords: | Bezier curve, cubic Bezier curve, derivatives of Bezier curves, matrix representation |
Issue Date: | 2022 |
Publisher: | ANKARA UNIV, FAC SCI-ANKARA |
Citation: | Kiliçoglu, S., Senyurt, S. (2022). ON THE MATRIX REPRESENTATION OF 5th ORDER BEZIER CURVE AND ITS DERIVATIVES IN E3. Commun. Fac. Sci. Univ. Ank.-Ser, A1 Math. Stat, 71(1), 133-152. https://doi.org/10.31801/cfsuasmas.895598 |
Abstract: | Using the matrix representation form, the first, second, third, fourth, and fifth derivatives of 5th order Bezier curves are examined based on the control points in E-3. In addition to this, each derivative of 5th order Bezier curves is given by their control points. Further, a simple way has been given to find the control points of a Bezier curves and its derivatives by using matrix notations. An example has also been provided and the corresponding figures which are drawn by Geogebra v5 have been presented in the end. |
Description: | WoS Categories: Mathematics Web of Science Index: Emerging Sources Citation Index (ESCI) Research Areas: Mathematics |
URI: | http://dx.doi.org/10.31801/cfsuasmas.895598 https://www.webofscience.com/wos/woscc/full-record/WOS:000851320000007 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4873 |
ISSN: | 1303-5991 |
Appears in Collections: | Matematik |
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