Developability of ruled surfaces based on C-Bézier basis

In this paper, we discuss developable surfaces of ruled surfaces based on C-Bézier basis, which named C-developable surfaces. This method has three important advantages. No (nonlinear) charactering equations have to be solved and some special surfaces such as circular conical surface and circular cylindrical surface can be represented exactly. Moreover ruled surfaces based on C-Bézier basis can be computed by subdivision algorithm. It is useful to free form developable surfaces modeling with C-developable surfaces.