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)