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Title: | On the matrix representation of Bezier curves and derivatives in E3 |
Authors: | Kilicoglu, Seyda Senyurt, Suleyman Ordu Üniversitesi |
Keywords: | Bezier Curve, Cubic Bezier Curve, Derivatives Of Bezier Curves, Matrix Representation |
Issue Date: | 2023 |
Publisher: | YILDIZ TECHNICAL UNIV-ISTANBUL |
Citation: | Kiliçoglu, S., Senyurt, S. (2023). On the matrix representation of Bezier curves and derivatives in E3. Sigma J. Eng. Nat. Sci., 41(5), 992-998. https://doi.org/10.14744/sigma.2023.00117 |
Abstract: | In this study we have examined, the coefficient matrix of a cubic, 4th order and nth order Bezier curves using combinations as the elements to get a pattern. Also their first, second, third derivativies are examined based on the control points, in matrix represation in E3. Further as a simple way has been given to find the equation of a Bezier curves and its derivatives using matrix product, based on the control points. |
Description: | WoS Categories: Engineering, Multidisciplinary Web of Science Index: Emerging Sources Citation Index (ESCI) Research Areas: Engineering |
URI: | http://dx.doi.org/10.14744/sigma.2023.00117 https://www.webofscience.com/wos/woscc/full-record/WOS:001102600300003 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4300 |
ISSN: | 1304-7205 1304-7191 |
Appears in Collections: | Matematik |
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