Geometric Computing Based on Computerized Descriptive Geometric  

作　　者：YU Hai-yan HE Yuan-Jun 

机构地区：[1]College of Mechanical Engineering, Donghua University, Shanghai 201620, China [2]Shanghai Jiaotong University, Computer Science and Engineering Department, Shanghai 200240, China

出　　处：《Computer Aided Drafting,Design and Manufacturing》2011年第2期55-61,共7页计算机辅助绘图设计与制造（英文版）

基　　金：National Natural Science Foundation of China（No.61073986）

摘　　要：Computer-aided Design （CAD）, video games and other computer graphic related technology evolves substantial processing to geometric elements. A novel geometric computing method is proposed with the integration of descriptive geometry, math and computer algorithm. Firstly, geometric elements in general position are transformed to a special position in new coordinate system. Then a 3D problem is projected to new coordinate planes. Finally, according to 2D/3D correspondence principle in descriptive geometry, the solution is constructed computerized drawing process with ruler and compasses. In order to make this method a regular operation, a two-level pattern is established. Basic Layer is a set algebraic packaged function including about ten Primary Geometric Functions （PGF） and one projection transformation. In Application Layer, a proper coordinate is established and a sequence of PGFs is sought for to get the final results. Examples illustrate the advantages of our method on dimension reduction, regulatory and visual computing and robustness.Computer-aided Design （CAD）, video games and other computer graphic related technology evolves substantial processing to geometric elements. A novel geometric computing method is proposed with the integration of descriptive geometry, math and computer algorithm. Firstly, geometric elements in general position are transformed to a special position in new coordinate system. Then a 3D problem is projected to new coordinate planes. Finally, according to 2D/3D correspondence principle in descriptive geometry, the solution is constructed computerized drawing process with ruler and compasses. In order to make this method a regular operation, a two-level pattern is established. Basic Layer is a set algebraic packaged function including about ten Primary Geometric Functions （PGF） and one projection transformation. In Application Layer, a proper coordinate is established and a sequence of PGFs is sought for to get the final results. Examples illustrate the advantages of our method on dimension reduction, regulatory and visual computing and robustness.

关 键 词：geometric computing descriptive geometry computerized descriptive geometry （CDG） projection transformation primary geometric functions （PGF） 

分 类 号：TH391[机械工程—机械制造及自动化]