Biparted Hyperboloid and Sphere Intersection Algorithm

Abstract. The focus of this paper is about biparted hyperboloid and sphere intersection algorithm. By coordinate transformation, the generalized cylindrical parametric equation of the biparted hyperboloid is first gained. Then a quartic equation with one unknown number is built. According to the distribution of the equation roots, the topological structure of the intersection curves can be judged accurately. In each valid subinterval, the parametric equations of intersection curves are foundwhich the intersection curves can be drawn correctly. Finally, some examples are provided to demonstrate the algorithm.The algorithm is suitable for the engineering application.