Composite Curves:
Let the problem of joining the curve segment G (1) (u), (0 ≤ u ≤ 1) along the curve segment
. Typically we shall like to ensure continuity of the curve, its slope and even the curvature. Hence, we put the conditions
where
is the common unit tangent and εi are parameters.
For curvature continuity, it gives following
i.e.
This equation is satisfied through
here λ is an arbitrary scalar.