Open AccessTHE SERRET-FRENET FRAME OF THE RATIONAL BEZIER CURVES IN THE EUCLIDEAN-3 SPACE BY ALGORITHM METHOD
Author(s) -
Hatice Kuşak Samancı
Publication year - 2021
Publication title -
journal of science and arts
Language(s) - English
Resource type - Journals
eISSN - 2068-3049
pISSN - 1844-9581
DOI - 10.46939/j.sci.arts-21.3-a12
Subject(s) - frenet–serret formulas , bézier curve , mathematics , frame (networking) , euclidean geometry , radius , parametrization (atmospheric modeling) , mathematical analysis , euclidean space , space (punctuation) , geometry , algorithm , computer science , physics , curvature , optics , telecommunications , computer security , radiative transfer , operating system
In this study, the Serret-Frenet frame and derivative formulas were obtained for all intermediate points of the rational Bezier curves with the algorithm method, and much more general results were computed from the previous studies. In addition, the center and radius of the osculator circle and sphere were calculated.