Determination and(Re)Parametrization of Rational Developable Surfaces

作     者：SHEN Liyong PREZ-DíAZ Sonia 

作者机构：School of Mathematical Sciences University of Chinese Academy of Sciences Key Laboratory of Mathematics Mechanization Academy of Mathematics and Systems Science Chinese Academy of Sciences Key Laboratory of Big Data Mining and Knowledge managementChinese Academy of Sciences Dpto de Física y Matemáticas Universidad de Alcalá 

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

年 卷 期：2015年第28卷第6期

页      面：1426-1439页

核心收录：

学科分类：081203[工学-计算机应用技术] 08[工学] 0835[工学-软件工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：supported by Beijing Nova Program under Grant No.Z121104002512065 The author PerezDíaz S is a member of the Research Group ASYNACS(Ref.CCEE2011/R34) 

主　　题：Parametrization proper rational developable surface reparametrization 

摘      要：The developable surface is an important surface in computer aided design, geometric modeling and industrial manufactory. It is often given in the standard parametric form, but it can also be in the implicit form which is commonly used in algebraic geometry. Not all algebraic developable surfaces have rational parametrizations. In this paper, the authors focus on the rational developable surfaces. For a given algebraic surface, the authors first determine whether it is developable by geometric inspection, and then give a rational proper parametrization in the affrmative case. For a rational parametric surface, the authors also determine the developability and give a proper reparametrization for the developable surface.