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Analyses and Solutions of Specific Cases in Spatial Angles Calculation
作者姓名:ZHANG Ai-mei  QIU Yi  SUN Bo-lu  FANG Dong-yang
作者单位:School of Mechanical Engineering,Zhengzhou University,Zhengzhou 450002,China
基金项目:Supported by National Natural Science Foundation Council of Henan Province (011106300)
摘    要:1 Introduction “Spatial Angles Calculations” means that all the calculations of given and unknown parameters are related to calculating angles in 3D space. The functions and relevant parameters in 3D space are much more complicated than that in 2D space, i.e. on a plane. Professor Sun, based on his research conducting for more than a decade, presented a series of new algorithms to calculate angles in space which are valuable in both theory and applications1]. The authors found that, in g…

关 键 词:工程图形学  几何空间  计算机图形设计  三维空间

Analyses and Solutions of Specific Cases in Spatial Angles Calculation
ZHANG Ai-mei,QIU Yi,SUN Bo-lu,FANG Dong-yang.Analyses and Solutions of Specific Cases in Spatial Angles Calculation[J].CADDM,2006,16(1):57-62.
Authors:ZHANG Ai-mei QIU Yi SUN Bo-lu FANG Dong-yang
Affiliation:School of Mechanical Engineering, Zhengzhou University, Zhengzhou 450002, China
Abstract:Aiming at the specific cases existing in spatial angles calculation the paper investigates five types of them: lines in specific orientations, planes in specific orientations, two lines defining a plane and angles between them, orientations and relevant parameters of a line lying on a plane, and orientations and relevant parameters of a plane passing through a line. The results are presented. The strategy presented provides a firm theoretic basis for the application of the new method of spatial angles calculations.
Keywords:engineering graphics  spatial angles  automatic calculation  specific cases
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