Transition curve with G2 Hermite interpolation condition

We discussed the transition curve of G2 Hermite interpolation of boundary data that consist of two points, two unit tangent vectors, and two signed curvatures at those points, by using Bezier quartic spline of degree 4. It is shown that the solution of G2 Hermite interpolation problem can be found by combining S-shape or C-shape transition curve with one or more quartic arcs. In this paper, an S-shaped interpolating curve made of one spiral and a C-shaped interpolating curve made of a curve with only one extreme curvature is constructed. As a result, we obtain a new construction of curvature continuous Bezier spline curves where those transition curves are considered as fair because it comprises with a small number of spirals.