构造近似可展曲面的一类方法  

A Kind of Construction of Approximate Developable Surface

作　　者：王国忱[1] 

机构地区：[1]内蒙古民族大学计算机科学与技术学院,内蒙古通辽028043

出　　处：《内蒙古民族大学学报（自然科学版）》2011年第2期154-155,共2页Journal of Inner Mongolia Minzu University：Natural Sciences

摘　　要：基于Gauss曲率范数极小,给出了一类插值数据点的近似可展曲面的构造方法,并给出了具体实例.本文对直纹曲面和可展曲面的基本概念和现有的多项式可展曲面和参数型可展曲面的构造方法进行了介绍,进而给出了插值数据点集的近似可展参数曲面的构造方法.In this thesis,we present a method to construct approximately developable surfaces,which interpolate a set of points,based on minimizing the norm of the Gauss curvature.The thesis is organized as follows.The definition and basic results of developable surfaces are introduced.Moreover,the developable polynomial surfaces and parametric surfaces are introduced.Finally,the method to construct approximately developable surfaces which interpolate a set of points and some examples are presented

关 键 词：可展曲面 近似可展曲面 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]