Geometric Hermite interpolation for space curves
This paper considers the geometric Hermite interpolation for spacial curves by parametric quartic Bezier curve. In additon to position and tangent direction, the curvature vector is prescribed at each knot. We prove that under appropriate assumptions the interpolant exists locally with one degree of freedom. Moreover, we prove the interpolant is 6th order accurate. (C) 2001 Published by Elsevier Science B.V.
interpolation bezier curve geometric smoothness accuracy