Triple Geometric Hermite Interpolation for Spatial Curves

This paper uses parametric quinary Bézier curve to interpolate a given special curve,whose position,tangent direction,curvature vector and torsion are prescribed at each endpoint.We prove that the interpolant exists locally with two degrees of freedom,and give a method to fix the two.Moreover, we prove that under appropriate assumptions the interpolant is of 6th order approximation accuracy.