期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

实空间中点面构型几何约束问题求解新方法

Solving Geometry Constraints Problems of Point-Plane Configuration in Euclidean Space
下载PDF
导出
摘要 利用距离几何理论,作者给出并实现了一种系统求解一类几何约束问题的方法.利用此方法,作者给出了点面构型几何约束问题中几何元素在直角坐标系中的表示.结果显示,该方法具有产生的方程个数少,计算效率高,计算机实现方便、彻底等优点. In this paper, a systematic new method to solve geometry constraints problems of point-plane configuration in euclidean space is presented with distance geometry theory. Geometry elements in point-plane configuration can be conveniently expressed in cartesian coordinates with our new method, thus one can obtain systematic and complete solutions of those problems.
作者 向晓林 刘武 陈光喜
机构地区 电子科技大学计算机学院 清华大学信息与网络研究中心 桂林电子工业学院计算科学系
出处 《四川大学学报（自然科学版）》 CAS CSCD 北大核心 2006年第1期52-58,共7页 Journal of Sichuan University(Natural Science Edition)
基金 国家重点基础研究项目(973项目)(G1998030600) 国家自然科学基金(70103007)
关键词 距离坐标 几何约束 非线性 代数方程组 distance coordinate geometry constraint nonlinear algebraic systems
分类号 O182.2 [理学—基础数学]
  • 相关文献

参考文献11

  • 1Blumenthal L M.Theory and applications of distance geometry[M].Clarendon:Oxford Press,1953.
  • 2Yang L.Distance coordinates used in geometric constraints solving,in "Automated Deduction in Geometry" (Proceedings of ADG2002,Linz,2002) [A].Winkler.Lecture notes in artificial intelligence[C].New York/London:Spriger-Verlag,2002.
  • 3Yang L,ZhangJ Z.Metric equations in geometry and their applications[R].I.C.T.P.Research Report,IC/89/281,International Centre for Theoretical Physics,Trieste,Italy,1989.
  • 4Yang L,Zhang J Z.A class of geometric inequalities in finite points (in Chinese)[J].Acta Math.Sinica,1980,23(5):740- 749.
  • 5Yang L,Zhang J Z.The concept of the rank of an abstract distance space (in Chinese)[J].Journal of China University of Science and Technology,1980,10(4):52- 65.
  • 6Yang L.Solving geometric constraints with distance-based global coordinate system[R].International Workshop on Geometric Constraint Solving,Beijing,October 2003.(available from http://www.mmrc.iss.ac.cn/ascm/ascm03/gcsweb/yang.pdf)
  • 7张景中,杨路,杨孝春.初等图形在欧氏空间的实现问题[J].中国科学（A辑）,1992,23(9):933-941. 被引量：9
  • 8张景中 杨路.有限点集在伪殴空间中的等长嵌入[J].数学学报,1981,24(4):481-487.
  • 9Hoffmann C M,Yuan B.On spatial constraint solving approaches,Proc.ADG2000,ETHZurich,NewYork/Berlin/London/Tokyo:Springer-Verlag,2000.
  • 10Michelucci D.Using Cayley-Menger determinants[EB/OL].Web document available from http://www.emse.fr/micheluc/menger/index.html.

二级参考文献16

  • 1张景中 杨路.有限点集在伪殴空间中的等长嵌入[J].数学学报,1981,24(4):481-487.
  • 2Blumenthal L.M.. Theory and Applications of Distance Geometry. Oxford at the Clarendon Press, 1953
  • 3Yang Lu, Zhang Jing-Zhong. Metric equations in geometry and their applications. International Center for Theoretical Physics, Trieste, Italy: I.C.T.P. Research Report, IC/89/281, 1989
  • 4Yang Lu, Zhang Jing-Zhong. A class of geometric inequalities on finite points.Acta Mathematical Sinica,1980,23(5):740～749(in Chinese)
  • 5Yang Lu, Zhang Jing-Zhong. The concept of the rank of an abstract distance space. Journal of University of Science and Technology of China, 1980, 10(4): 52～65(in Chinese)
  • 6Hoffmann C.M., Yuan B.. On spatial constraint solving approaches. In: Richter-Gebert J., Wang D. eds.. Proceedings of ADG 2000, Lecture Notes in Computer Science 2061, New York: Springer-Verlag, 2001, 1～15
  • 7Hoffmann C.M., Vermeer P.. Geometric constraint solving in R2 and R3. In: Du D.Z., Hwang F. eds.. Computing in Euclidean Geometry, Second Edition. Singapore: World Scientific Publishing, 1995, 266～298
  • 8Hoffmann C.M., Vermeer P.. A spatial constraint problem. In: Merlet J.-P., Ravani B. eds.. Computational Kinematics'95, Amsterdam, Netherlands: Kluwer Academic Publishing, 1995, 83～92
  • 9Hoffmann C.M., Joan-Arinyo R.. Symbolic constraint in geometric constraint solving. Journal of Symbolic Computation, 1997, 23: 287～300
  • 10Durand C., Hoffmann C.M.. A systematic framework for solving geometric constraints analytically. Journal of Symbolic Computation, 2000, 30: 493～520

共引文献8

四川大学学报（自然科学版）
2006年 第1期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部