Geometric Computing Based on Computerized Descriptive Geometric

作     者：YU Hai-yan HE Yuan-Jun 

作者机构：College of Mechanical Engineering Donghua University Shanghai 201620 China Shanghai Jiaotong University Computer Science and Engineering Department Shanghai 200240 China 

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

出 版 物：《Computer Aided Drafting,Design and Manufacturing》 (计算机辅助绘图设计与制造（英文版）)

年 卷 期：2011年第21卷第2期

页      码：55-61页

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.

主 题 词：geometric computing descriptive geometry computerized descriptive geometry (CDG) projection transformation primary geometric functions (PGF) 

学科分类：080704[080704] 08[工学] 0807[工学-电子信息类] 

D　O　I：10.19583/j.1003-4951.2011.02.010

馆 藏 号：203324676...