TY - JOUR
TI - On approximation of helix by 3rd, 5th and 7th order Bezier curves in E3
AU - Kilicoglu Seyda
JN - Thermal Science
PY - 2022
VL - 26
IS - 102
SP - 525
EP - 538
PT - Article
AB - 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 3th degree, 5th degree, and the 7th degree Maclaurin  series expansions of helices for the polynomial forms. Hence, they can be  written cubic, 5th order, and 7th order Bezier curves, based on the control  points with matrix form we have already given in E3. Further we have given  the control points of the Bezier curve based on the coefficients of the  Maclaurin series expansion of the circular helix.