Eğitim Bilimleri Fakültesi / Faculty of Education

Permanent URI for this collectionhttps://hdl.handle.net/11727/2116

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search.filters.applied.f.rights: search.filters.rights.info:eu-repo/semantics/openAccessSubject: search.filters.subject.Bezier curve

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    On Approximation Sine Wave with the 5(Th) and 7(Th) Order Bezier Paths in Plane
    (2022) Kilicoglu, Seyda
    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 5(th) and the 7(th) degree Maclaurin series expansion of the parametric form of sine curve. Also, they are 5(th) and the 7(th) order Bezier paths, based on the control points with matrix form in E-2. Hence it has been given the control points of the 5(th) and the 7(th) order Bezier curve based on the coefficients of the 5(th) and the 7(th) 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 5(th) and the 7(th) order Bezier curve too.
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    On The Matrix Representation Of 5th Order Bezier Curve And Its Derivatives In E-3
    (2022) Kilicoglu, Seyda; Senyurt, Suleyman
    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.