A VARIATIONAL ANALYSIS OF THE GENERALIZED OFFSET CURVES FOR PSEUDO NULL CURVES

In this study, the generalized offset curve of the pseudo-null curve is defined in terms of the vector elements of the original curve by using Serret Frenet and Bishop frames. The generalized curves are analyzed with a more precise approximation by using the ϵ-neighborhood approach. This method allows for the examination of variations in arc length and curvatures between the generalized offset curves and the original pseudo-null curves, using the Serret Frenet and Bishop parameters. In conclusion, illustrative examples are presented.