TY - JOUR
TI - on approximation sine wave with the 5th and 7th order Bezier paths in plane
AU - Kilicoglu Seyda
JN - Thermal Science
PY - 2022
VL - 26
IS - 102
SP - 539
EP - 550
PT - Article
AB - 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 5th and the 7th degree  Maclaurin series expansion of the parametric form of sine curve. Also, they  are 5th and the 7th order Bezier paths, based on the control points with  matrix form in E2. Hence it has been given the control points of the 5th and  the 7th order Bezier curve based on the coefficients of the 5th and the 7th  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 5th and the 7th order Bezier curve too.