On G2 continuous interpolatory composite quadratic Be´zier curves

In the paper the interpolation by G2 continuous composite quadratic Bézier curves is studied. It is shown that the interpolation problem can be naturally posed correctly in such a way that a smooth curve f is approximated up to the order 4, i.e., one order more than in the corresponding function case. In addition, the tangent direction of f is approximated up to order 3, and the curvature up to order 2.