An effective geometrically motivated intersection algorithm for two spatial parametric curves is presented. Examples are shown to illustrate the efficiency and robustness of the new method.
A new orthogonal projection method for computing the minimum distance between a point and a spatial parametric curve is presented. It consists of a geometric iteration which converges faster than the existing Newton's method, and it is insensitive to the choice of initial values. We prove that projecting a point onto a spatial parametric curve under the… (More)
In this paper, we propose the concept of generalized harmonic curvature for the image surface, and then, we give a new diffusion coefficient which is based on the generalized harmonic curvature for the PM model. Moreover, we also give a semi-implicit difference scheme, the stability with respect to the sup-norm doesn't depend on the time step. Finally,… (More)