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利用刚性体识别的三维尺寸标注完备性检查 被引量:4

Completeness Testing of Three-Dimensional Dimensions Using Rigid Solid Recognition
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摘要 为了实现有循环约束的尺寸完备性的自动检查,将循环约束的判断问题转化为刚性体的识别问题,提出一种基于刚性体识别的三维尺寸完备性检查方法.首先引入定位元的概念,并建立了基于恒定度求交的定位元组选择机制;然后以定位元组为基准,提出基于轨迹相交法的刚性体识别方法;再通过向刚性体内部添加虚尺寸,利用等价定位元组的固定实现了刚性体的合并;最后根据刚性体的合并状态和尺寸的使用状态,分析了尺寸的4种完备性状态.以一个有循环约束和冗余尺寸的模型为例演示了尺寸完备性的检查过程,验证了该方法的有效性和稳定性. In order to achieve the automation of dimensioning completeness testing with cyclic constraints,determination of the cyclic constraints is converted into the recognition problem of rigid solid (RS), and a methodof three-dimensional dimensioning completeness testing based on rigid body recognition is proposed. Firstly, aconcept of located primitive(LP) is introduced, and the selection mechanism of LP group is established based onthe intersection of LP's degree of invariance. Subsequently, on the basis of LP group, the recognition method ofRSs is proposed based on the method of locus intersection. And then, the RSs are merged by using the fixation ofthe equivalent group of LPs, with the addition of virtual dimensions. Four types of dimensions completenessstates are analyzed according to the merged status of RS and the used status of dimensions. Finally, a model withcyclic constraints and redundant dimensions is taken as an example to demonstrate the completeness testing ofdimensions, and verify the effectiveness and stability of the approach.
出处 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2015年第2期351-361,共11页 Journal of Computer-Aided Design & Computer Graphics
基金 某部委预先研究项目(51318010102 51318010103) 苏州市科技发展计划项目(SYG201221)
关键词 循环约束 尺寸完备性 定位元选择 刚性体识别 虚尺寸 cyclic constraints completeness of dimensions located primitive rigid solid recognition virtual dimension
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参考文献18

  • 1张树有,卓勇.基于逻辑坐标的多视图尺寸冗余性判别[J].工程图学学报,1997,18(4):66-70. 被引量:10
  • 2纪杨建,张树有,谭建荣.基于空间坐标转换模型的多视图尺寸完备性检查[J].计算机辅助设计与图形学学报,2001,13(6):561-565. 被引量:12
  • 3成彬,王永平.图归并的多视图尺寸完备性判别方法研究[J].西安建筑科技大学学报(自然科学版),2004,36(2):246-249. 被引量:5
  • 4杨 勃. 基于约束原理和CR 图的工程图尺寸信息完备性检验和自动计算[D]. 湘潭: 湘潭大学信息工程学院, 2005.
  • 5Hoffmann C M, Sitharam M, Yuan B. Making constraintsolvers more usable: overconstraint problem [J]. Computer-Aided Design, 2004, 36(4): 377-399.
  • 6Joan-Arinyo R, Mata N, Soto-Riera A. A constraint solvingbasedapproach to analyze 2D geometric problems with intervalparameters[C]//Proceedings of the 6th ACM Symposium onSolid Modeling and Applications. New York: ACM Press,2001:11-17.
  • 7Ait-Aoudia S, Mana I. Numerical solving of geometricconstraints by bisection: a distributed approach[J]. InternationalJournal of Computing & Information Sciences, 2004, 2(2):66-73.
  • 8Hoffman C M, Lomonosov A, Sitharam M. Decomposition plansfor geometric constraint problems, part II: new algorithms[J].Journal of Symbolic Computation, 2001, 31(4): 409-427.
  • 9Hoffman C M, Lomonosov A, Sitharam M. Decompositionplans for geometric constraint systems, part I: performancemeasures for CAD[J]. Journal of Symbolic Computation, 2001,31(4): 367-408.
  • 10Ait-Aoudia S, Foufou S. A 2D geometric constraint solverusing a graph reduction method [J]. Advances in EngineeringSoftware, 2010, 41(10/11):1187-1194.

二级参考文献53

  • 1高小山,黄磊东,蒋鲲.Geometric constraint solving with geometric transformation[J].Science in China(Series F),2001,44(1):50-59. 被引量:8
  • 2夏鸿建,王波兴,陈立平.三维几何约束求解的变分算法[J].计算机辅助设计与图形学学报,2006,18(12):1878-1883. 被引量:6
  • 3张树有.侧点法自动跟踪获取图形轮廓信息[J].浙江大学学报(自然科学版),1996,30(4):403-407. 被引量:18
  • 4[26] Dong, J. X., Ge, J. X., Gao, Y. Et al., New ideas for constraint solving in parametric drawing systems, CAD and Graphics, 1997, 9(6): 513.
  • 5[27] Wu, W. T., Basical principles of mechanical geometry theorem proving, New York: Springer-Verlag, 1994.
  • 6[28] Chen, L. P., Tu, C., Luo, H., and Zhou, J., A New parametric oriented drawing technique, Ruanjian Xue-Bao (in Chinese), 1996, 7(7): 394.
  • 7[29] Wu, W. T., A mechanization method of geometry and its applications Ⅰ. Distances, areas, and volumes, J. Sys. Sci. And Math. Scis., 1986, 6: 204.
  • 8[1]Gao, X. S., Automated geometry diagram construction and intelligent CAD, in Automated Deduction in Geometry, 1999, Berlin: Springer-Verlag, 232-257.
  • 9[2]Fudos, I., Hoffmann, C. M., A graph-constructive approach to solving systems of geometric constraints, ACM Transactions on Graphics, 1997, 16(2): 179.
  • 10[3]Owen, J. C., Algebraic solution for geometry from dimensional constraints, in Proc. 1st Symp. Solid Modeling Foundations & CAD/CAM Applications, New York: ACM Press, 1991, 379-407.

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