Design and modification of developable rational Bezier surfaces

A method for design and modification of developable surfaces was presented by constructing a curve which was similar to the given rational Bezier curve. Furthermore, the constrained plane was given, and the surface patch which was intersected with the plane would be replaced with one of its surface family, which either was tangent to the plane or interpolated the point on its boundaries. The method did not need to calculate the new control points and their weights and then reduced the calculation. The modified surface would not intersect with the plane but would remain a developable surface. Numerical examples show that the method is simple, fast and efficient.