Eğitim Bilimleri Fakültesi / Faculty of Education

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

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Subject: search.filters.subject.7(th) order Bezier curve

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    On Approximation of Helix by 3(rd), 5(th) and 7(th) Order Bezier Curves in E-3
    (2022) Kilicoglu, Seyda
    Approximation of helices has been studied by using in many ways. In this study, it has been examined how a circular helix can be written as Bezier curve and written the 3(th) degree, 5(th) degree, and the 7(th) degree Maclaurin series expansions of helices for the polynomial forms. Hence, they can be written cubic, 5(th) order, and 7(th) order Bezier curves, based on the control points with matrix form we have already given in E-3. Further we have given the control points of the Bezier curve based on the coefficients of the Maclaurin series expansion of the circular helix.
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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.