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几何变换的误差传播 被引量:3

Error Propagation of Geometric Transforms
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摘要 采用最坏情况法研究几何变换中的误差传播问题 在给出基本几何元素误差域表示方法的基础上 ,讨论对称、旋转变换的误差传播规律 ;并利用Minkowski算子 ,给出计算几何变换后误差域的算法 。 Error propagation of geometric transform with worst case approach is presented Following the representation of tolerance zones of basic geometric elements, the rules of error propagation of mirror symmetry and rotation are formulated We also present the algorithms of computing the tolerance zones of theses two geometric transforms with Minkowski, which provides the basis for the further study of geometric tolerance control
出处 《计算机辅助设计与图形学学报》 EI CSCD 北大核心 2003年第5期537-540,546,共5页 Journal of Computer-Aided Design & Computer Graphics
基金 国家自然科学基金 (60 2 730 12 ) 国家"九七三"基础研究项目(19980 30 60 0 )
关键词 CAD 计算机辅助设计 三维几何造型 几何变换 误差传播 Minkowski算子 worst case approach Minkowski operator
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参考文献7

  • 1Sederberg T W, Farouki R T. Approximation by interval Béziercurves[J]. IEEE Computer, Graphics and Applications, 1992,12(5): 87-95.
  • 2Hu C-Y, Maekawa T, Sherbrooke E C, et al. Robust interval algorithm for curve intersections[ J ]. Computer-Aided Design,1996, 28(6/7): 495-506.
  • 3Hu C-Y, Maekawa T, Patrikalakis N M, et al. Robust interval algorithm for surface intersections[J]. Computer-Aided Design,1997, 29(9): 617-627.
  • 4Tuohy S T, Maekawa T, Shen G, et al. Approximation of measured data with interval B-splines [ J ] . Computer-Aided Design, 1997, 29(11): 791-799.
  • 5Pottmann H, Odehnal B, Peternell M, et al. On optimal tolerance in computer-aided design[A] . In: Proceedings. of Pacific Graphics 2000[C]. HongKong: IEEE Computer Society Press, 2000. 347-363.
  • 6Wallner J, Krasauskas R, Pottmann H. Error propagation in geometric construction[J]. Computer-Aided Design, 2000, 32(11): 631 -641.
  • 7Farouki R T, Moon H P, Ravani B. Minkowski geometric algebra of complex sets [ J ] . Geometric Dedicata, 2001,85(1/3) : 283-315.

同被引文献18

  • 1胡雪芬,陈爱萍,童水光,单新潮.基于点云数据的鞋楦数控编程及其仿真[J].组合机床与自动化加工技术,2004(7):16-18. 被引量:11
  • 2Piegl L, Tiller W. The NURBS Book. Berlin: Springer Press, 1997
  • 3Bao H P,Soundar P,Yang T. Integrated Approach to Design and Manufacture of Shoe Lasts for Orthopaedic Use. Computers & Industrial Engineering,1994, 26(2): 411~421
  • 4Jimeno A M,Chamizo J M G, Salas F.Shoe Last Machining Using Virtual Igitising. Int. Journal of Advanced Manufacturing Technoly,2001,17: 744~750
  • 5McAllister D F, Carver D,Devarajan R, et al. Interactive Computer Graphics System for the Design of Molded and Orthopedic Shoe Lasts. Journal of Rehabilitation Research & Development,1991, 28(4): 39~46
  • 6Cheng Fengtsung, Perng D. Systematic Approach for Developing a Foot Size Information System for Shoe Last Design. International Journal of Industrial Ergonomics,1999, 25(2): 171~185
  • 7Mochimaru M, Kouchi M, Dohi M. Analysis of 3-D Human Foot Forms Using the Free Form Deformation Method and Its Application in Grading Shoe Lasts. Ergonomics,2000, 43(9): 1301~1313
  • 8Hoffmann C M. The problems of accuracy and robustness in geometric computation [J]. Computer, 1989, 22(3): 31~41
  • 9Salesin D, Stolti J, Guibas L. Epsilon geometry: Building robust algorithms from imprecise calculations. In: Proceedings of ACM Annual Symposium on Computational Geometry, Saarbrucken, West Germany, 1989. 208~217
  • 10Ottmann T, Thiemt G, Uullrich C. Numerical stability of geometric algorithms. In: Proceedings of ACM Annual Symposium on Computational Geometry, Waterloo, Ontario, Canada, 1987. 119~125

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