[1]唐人卫.轴测投影的基本公式及其应用[J].东南大学学报(自然科学版),2001,31(3):124-127.[doi:10.3969/j.issn.1001-0505.2001.03.029]
 Tang Renwei.Foundation Formula of Axonometric Projection and Its Application[J].Journal of Southeast University (Natural Science Edition),2001,31(3):124-127.[doi:10.3969/j.issn.1001-0505.2001.03.029]
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轴测投影的基本公式及其应用()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
31
期数:
2001年第3期
页码:
124-127
栏目:
数学、物理学、力学
出版日期:
2001-05-20

文章信息/Info

Title:
Foundation Formula of Axonometric Projection and Its Application
作者:
唐人卫
东南大学交通学院, 南京 210096
Author(s):
Tang Renwei
Transportation College, Southeast University, Nanjing 210096, China)
关键词:
画法几何 轴测投影 波尔克-许华尔兹定理 轴测基本公式
Keywords:
descriptive geometry axonometric projection Pohlke-Schwarz theorem axonometric foundation formula
分类号:
O185.1
DOI:
10.3969/j.issn.1001-0505.2001.03.029
摘要:
轴测投影是画法几何学的重要组成部分,本文用解析的方法来研究一般形式的轴测投影问题.根据轴测投影系统中空间坐标系、投射方向、投影面三者之间的几何关系,推导并证明了轴测投影的基本公式.基本公式作为轴测投影基本定理(波尔克-许华尔兹定理)的数学表达式,更确切地反映了各轴测参数之间的定量关系,它在轴测投影的理论和应用方面都有重要的意义.本文在此基础上,整理出5组各类参数的计算公式,既适用于正轴测投影也适用于斜轴测投影.
Abstract:
Axonometric projection is one of the important parts in descriptive geometry. This paper uses an analytical method to solve problems in axonometric projection. The foundation formula of axonometric projection is deduced and proved by using geometric relations among space coordinates, projective directions and projection planes in axonometric projection system. The foundation formula, which is Pohlke-Schwarz theorem demonstrated by mathematics represents more exactly the qualitative relations of all parameters in axonometric projection. It plays a very important part in axonometric projection’s theory and its application. There are five sets of calculating formulae in this paper, which are suitable for both orthogonal projection and oblique projection.

参考文献/References:

[1] 包太兹,米列斯库.轴测投影理论与应用.李世铨译.北京:机械工业出版社,1988.118~130
[2] 格拉祖诺夫,切特维鲁新.轴测投影学.第2版.徐良佐等译.北京:人民教育出版社,1981.48~60
[3] 丘维声.解析几何.北京:北京大学出版社,1988.25~31

备注/Memo

备注/Memo:
作者简介:唐人卫,男,1950年生,副研究员.
更新日期/Last Update: 2001-05-20