Homeomorphic approximation of the intersection curve of two rational surfaces Original Research Article

We present an approach of computing the intersection curve image of two rational parametric surface image and image, one being projectable and hence can easily be implicitized. Plugging the parametric surface to the implicit surface yields a plane algebraic curve image. By analyzing the topology graph image of image and the singular points on the intersection curve image we associate a space topology graph to image, which is homeomorphic to image and therefore leads us to an approximation for image in a given precision.