ABSTRACT

To link simple curves in order to obtain splines with more or less regu­ larity is an outstanding problem. It is a common concern for piecewise poly­ nomial curves. The segments can be pieced together using different concepts of continuity : Cfc-continuity, geometric continuity, continuity of the Frenet frame, and higher order curvatures GFk, TCr-continuity. For a complete study, bibliography and historical details, see [1,4,12, 13,14,15,17,19].