2012/03/02 by Li‐Yong Shen, shen, Liyong, Jin-San Cheng +3
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Computational Geometry (cs.CG) #Computational Geometry and Mesh Generation #FOS: Computer and information sciences #FOS: Mathematics #G.1.2 #Geometric Topology (math.GT) #I.3.5 #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1203.0442
openalex publication_date 2012/03/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We present an approach of computing the intersection curve C of two rational parametric surface §1(u,s) and §2(v,t), one being projectable and hence can easily be implicitized. Plugging the parametric surface to the implicit surface yields a plane algebraic curve G(v,t)=0. By analyzing the topology graph \G of G(v,t)=0 and the singular points on the intersection curve C we associate a space topology graph to C, which is homeomorphic to C and therefore leads us to an approximation for C in a given precision.