A Class of Global Subdivision for Curves

The quality of traditional subdivision curves are restricted by the local mask of subdivision schemes.Notice that a step of subdivision can be decomposed into a sequence of simple stages-calculating the difference,interpolation and reconstruction.A class of global subdivision curves is proposed by manipulating the reconstruction stage.Through a reconstruction involving all the control vertices,the subdivision turns to be global.An improvement on the smoothness and curvature distribution is proved then.Further improvement can be achieved by employing high-order difference and smoother interpolations.Experiments show that the curvature distribution improves under our new construction for subdivision curves.