The selection of control points for two open non uniform B-spline curves to form Bertrand pairs

M. Incesu, S. Yilmaz Evren

In this paper the second and third derivatives of open non- uniform B-spline curves and the Frenet vector fields and curvatures at the points t=td, t=tm-d and arbitrary point in domain of this curves are given. In addition,the control points of the second open non-uniform B-spline curve are given in terms of the control points of the first open non-uniform B-spline curve when given two curves occured a Bertrand curve pairs at a point. 

Tbilisi Mathematical Journal, Special Issue (8 - 2021), pp. 195-208