Reconstructing curve on the surface with extreme learning machines

A novel approach for reconstructing the curve contained on the given surface is presented in this paper. We first project the given curve points restricted on the surface onto the corresponding x-y coordinate plane, then a plane curve is constructed with these projected points by using the extreme learning machines. A cylinder is estanlished with the constructed curve as directrix, The required approximation curve restricted on the surface is achieved via the intersection of surface and cylinder. The experiment results show that the proposed method achieve good effect compared to traditional methods using piecewise function to represent the curve on the surface.