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Shape Modification by Beam Model in FEM 被引量:3

基于有限元方法中粱模型的形状修改算法(英文)
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摘要 Shape modification and deformation play an important role in the filed of geometry modeling, computer graphics, conceptual design and so on. A novel physically based shape modification approach is presented in this article, with beam model in finite element method (FEM). By means of interactively creating a beam with circle cross section based on pre-defined local coordi- nate system, the primitive geometry model is embedded in the beam globally or locally. After imposing external loads, such as concentrated force or couple, on selected nodes, their displacement can be computed. Moreover, deflection, axial deformation and twist angle of beam model can also be interpolated using shape function matrix. As a result, object is modified as a part of beam. The proposed approach is linear, simple and fast, by which stretch, bending, taping and twist deformation can be accom- plished. Finally, some experimental results are given to demonstrate that the presented method is potentially useful in geometry modeling and shape design. Shape modification and deformation play an important role in the filed of geometry modeling, computer graphics, conceptual design and so on. A novel physically based shape modification approach is presented in this article, with beam model in finite element method (FEM). By means of interactively creating a beam with circle cross section based on pre-defined local coordi- nate system, the primitive geometry model is embedded in the beam globally or locally. After imposing external loads, such as concentrated force or couple, on selected nodes, their displacement can be computed. Moreover, deflection, axial deformation and twist angle of beam model can also be interpolated using shape function matrix. As a result, object is modified as a part of beam. The proposed approach is linear, simple and fast, by which stretch, bending, taping and twist deformation can be accom- plished. Finally, some experimental results are given to demonstrate that the presented method is potentially useful in geometry modeling and shape design.
出处 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2010年第2期246-251,共6页 中国航空学报(英文版)
基金 National Natural Science Foundation of China (50805075,60673026)
关键词 geometry modeling DEFORMATION finite element method stiffness matrix geometry modeling deformation finite element method stiffness matrix
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  • 1黄正东,王启付,周济,余俊.构造G^1曲面的变分优化方法[J].计算机辅助设计与图形学学报,1996,8(5):352-360. 被引量:2
  • 2关志东,计算机学报,1996年,19卷,增刊,187页
  • 3Barr A H. Global and local deformation of solid primitives.Siggraph'84 ACM Computer Graphics, 1984,18(3): 21 - 34.
  • 4Watt A. Advanced animation and rendering technique. Addison-Wesley Publishing Company, 1992.
  • 5Sederberg T W, Parry S R. Free-form deformation of solid geometric models. Computer Graphics, 1986, 20(4): 151-160.
  • 6Griessmair J, Purgathofer W. Deformation of solid with trivariate B-spline. In: Proceeding of Eurographics'89,North-Holland, 1989:137-148.
  • 7Lamousin H J, Waggenspack W N. NURBS-based freeform deformation. IEEE Computer Graphics and Application,1994,14(9): 59-65.
  • 8Hsu W M, Hughes J F, Kaufman H. Direct manipulation of free-form deformation. Computer Graphics, 1992, 26(2):177-184.
  • 9Hu S M, Zhang H, Tai C L, et al. Direct manipulation of FFD:efficient explicit solutions and decomposable multiple point constraints. The Visual Computer, 2001, 17(6): 370-379.
  • 10Feng J Q, Ma L Z, Peng Q S. A new free-form deformation through the control of parametric surfaces. Computer & Graphics, 1996, 20(4): 531 -539.

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  • 1Liprnan Y, Sorkine O, Levin D, et al. Linear rotation- invariant coordinates for meshes [J]. ACM Transactions on Graphics, 2005, 24(3): 479-487.
  • 2Xu D, Chen W, Zhang H X, et al. Multi level differential surface representation based on local transformations [J]. Visual Computer, 2006, 22(7): 49:3-505.
  • 3Capell S, Green S, Curless B, et al. Interactive skeleton- driven dynamic deformations [J]. ACM Transactions on Graphics, 2002, 21(3): 586-593.
  • 4Yan H B, Hu S M, Martin R R, et al. Shape deformation using a skeleton to drive simplex transformations [J]. IEEE Transactions on Visualization and Computer Graphics, 2008, 14(3) : 693-706.
  • 5Yoshizawa S, Belyaev A G, Seidel H P. Free form skeleton driven mesh deformations [C] //Proceedings of the 8th ACM Symposium on Solid Modeling and Application. New York: ACM Press, 2003: 247-253.
  • 6Terzopoulos D, Platt J, Barr A. Elastically deformable models [J]. ACM SIGGRAPH Computer Graphics, 1987, 21 (4) :205-214.
  • 7Celniker G, Welch W. Linear constraints for deformable non-uniform B-spline surface [C] //Proceedings of the Symposium on Interactive 3D Graphics. New York: ACM Press, 1992:61-68.
  • 8Welch W, Witkin A. Variational surface modeling [J]. ACM SIGGRAPH Computer Graphics, 1992, 26(2): 157-166.
  • 9Liu X G, Huang J, Bao H J, et al. An efficient Large deformation method using domain decomposition [J].Computers & Graphics, 5:006, 30(6): 927-935.
  • 10Nesme M, Kry P G, Jeradbkova L, et al. Preserving topology and elasticity for embedded deformable models [J]. ACM Transactions on Graphics, 2009, 28(3) : Article No. 52.

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