Approximation of Curves Contained on the Surface by Freed-Forward Neural Networks

Based on Freed-forward Neural Networks, we develop a new method to approximate curves contained on the given surface; the main contribution is to convert the problems of space curve approximation on surfaces into the plane curve approximation by point projection. The final approximation curve restricted on the surface is achieved via the intersection of surface and cylinder whose directrix is plane approximation curve by freed-forword Neural Networks method, we also give an upper bound estimation about approximation accuracy.The experiment results show that the method achieve good effect compared to traditional methods nusing piecewise function to represent the curve on the surface.