A Symbolic-Numeric Approach for Parametrizing Ruled Surfaces

作     者：PÉREZ-DÍAZ Sonia SHEN Li-Yong P(E)REZ-D(I)AZ Sonia;SHEN Li-Yong

作者机构：Dpto.de Física y MatemáticasUniversidad de Alcalá28871-Alcaláde HenaresMadridSpain School of Mathematical SciencesUniversity of Chinese Academy of SciencesBeijing 100049China 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2020年第33卷第3期

页      面：799-820页

核心收录：

学科分类：1305[艺术学-设计学（可授艺术学、工学学位）] 13[艺术学] 08[工学] 080203[工学-机械设计及理论] 081304[工学-建筑技术科学] 0802[工学-机械工程] 0813[工学-建筑学] 080201[工学-机械制造及其自动化] 

基　　金：partially supported by FEDER/Ministerio de Ciencia,Innovación y Universidades-Agencia Estatal de Investigacin/MTM2017-88796-P(Symbolic Computation New challenges in Algebra and Geometry together with its applications) the National Natural Science Foundation of China under Grant No.61872332 the University of Chinese Academy of Sciences the Research Group ASYNACS(Ref.CCEE2011/R34) 

主　　题：Implicit representation numeric algorithm ruled surface standard parametrization 

摘      要：This paper presents symbolic algorithms to determine whether a given surface(implicitly or parametrically defined)is a rational ruled surface and find a proper parametrization of the ruled ***,in practical applications,one has to deal with numerical objects that are given approximately,probably because they proceed from an exact data that has been perturbed under some previous measuring process or *** these numerical objects,the authors adapt the symbolic algorithms presented by means of the use of numerical *** authors develop numeric algorithms that allow to determine ruled surfacescloseto an input(not necessarily ruled)surface,and the distance between the input and the output surface is computed.