期刊文献+

两种空间约束求解算法 被引量:9

Two Spatial Constraint Solving Algorithms
下载PDF
导出
摘要 进行了 3个方面的研究 :( 1)对由 3点 3面组成的空间约束系统进行了几何分析和推导 ,并且利用数值解验证了几何分析和推导的正确性 ,从而进一步完善了Hoffmann提出的基于图构造方法的约束求解方法 ;( 2 )将遗传模拟退火算法结合于空间约束求解中 ,有效地克服了基于图构造方法的可扩展性差的缺陷 ,并可以解决过约束和欠约束的情况 ;( 3)应用遗传模拟退火算法对 3点 3面约束系统进行求解 。 Analytic solution of a constraint template composed of three points and three planes is presented to enrich the graph based algorithm Genetic simulated annealing algorithm (SAGA) is integrated with spatial constraint solving further that not only overcomes the shortcomings of poor extensibility of the graph based algorithm, but also handles over ?and under ?constrained systems In the end, we solve the above constraint problem with SAGA and compare the two algorithms
出处 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2003年第8期1021-1029,共9页 Journal of Computer-Aided Design & Computer Graphics
基金 教育部博士点基金(2 0 0 0 0 3 3 5 5 4) 浙江省自然科学基金(60 0 110 7)资助
关键词 CAD 计算机辅助设计 空间约束求解算法 遗传模拟退火算法 变量化设计 geometric constraint solving variational design genetic simulated annealing algorithm
  • 相关文献

参考文献29

  • 1Hoffmann C M, Vermeer P. Geometric constraint solving in R2 and R3 [OL]. http://www.cs.purdue.edu/homes/cmh/dist ribution/pubseons, html.
  • 2Hoffmann C M, Vermeer P. A spatial constraint problem[OL]. http://www, cs. purdue, edu/homes/cmh/distribution/pubscons, html.
  • 3Durand C. Symbolic and numerical techniques for constraint solving [D]. West Lafayette: Purdue University, 1998.
  • 4Owen J. Algebraic solution for geometry from dimensional constraints [A]. In: Proceedings of the 1st ACM Symposium on Solid Modeling Foundations and CAD/CAM Applications [C].New York: ACM Press, 1991. 397--407.
  • 5Latheam R S, Middleditch A E. Connectivity analysis: A tool for processing geometric constraints [J]. Computer-Aided Design, 1998, 28(10): 831--841.
  • 6Joan-Arinyo R, Soto A. A correct rule-based geometric constraint solver [J]. Computer and Graphics, 1997, 21 ( 5 ) :599-- 609.
  • 7Joan-Arinyo R, Soto A. A ruler-and-compass geometric constraint solver [A]. In: Proceedings of the 5th IFIP TC5/WGS.2 International Workshop on Geometric Modeling in Computer Aided Design on Product Modeling for Computer Integrated Design and Manufacture [C]. Virginia: Airlie Hall Press. 1997. 384--393.
  • 8Verroust A, Schonek F, Roller D. Rule-oriented method for parameterized [J]. Computer-Aided Design, 1992, 24 ( 10 ) :531 ~ 540.
  • 9Bruderlin B. Using geometric rewriting rules for solving geometric problems symbolically [J]. Theoretical Computer Science, 1993, 116:291--303.
  • 10Gao X S, Chou S C. Solving geometrie constraint systems I : A global propagation approach [J]. Computer-Aided Design,1998, 30(1): 47--54.

同被引文献57

引证文献9

二级引证文献27

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