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Octree-based automatic mesh generation for non-manifold domains

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Abstract

Automatic mesh generation within the context of non-manifold geometric models is far from a commercial reality. While manifold objects are the most commonly encountered domains in many applications, other applications such as those requiring multiple material models and mixedmodel representations (combination of 1-D, 2-D and 3-D domains) fall beyond the realm of the existing automatic meshing procedures as they require a non-conventional modeling enviroment, namely the non-manifold topology (NMT) based environment. This paper focuses on automatic mesh generation issues in the context of two such applications: (i) finite element modeling for multiple material models and (ii) geometric abstractions requiring a mixed-model representation. Specifically, the paper describes a geometry utility system, built around an NMT data structure and geometry-based meshing algorithms that ensure the validity of the mesh for non-manifold domains.

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References

  1. Shephard, M.S. (1988) Approaches to the automatic generation and control of finite element meshes, Applied Mechanics Review, 41, 4, 169–185

    Google Scholar 

  2. Kodiyalam, S.; Finnigan, P.M.; Kumar, V. (1990) A hybrid CSG/B-Rep approach to three-dimensional shape optimization, 90-WA/CIE-1, ASME Winter Annual Meeting, Dallas, November 25–30

  3. Finnigan, P.M.; Hathaway, A.; Lorensen, W. (1990) Merging CAT and FEM, Mechanical Engineering, 112, 7, 32–38

    Google Scholar 

  4. Agoston, M. (1976) Algebraic Topology, Marcel Dekker, New York

    Google Scholar 

  5. Weiler, K.J. (1986) Topological structures for geometric modeling, PhD Dissertation, Department of Computer and Systems Engineering, Rensselaer Polytechnic Institute, Troy, New York

    Google Scholar 

  6. Saxena, M.; Srivatsan, R.; Davis, J.E. (1991) Topological and geometrical issues in NMT-based modeling, Proceedings of the 1992 ASME Design Automation Conference, vol. 2, pp 267–274, Phoenix, September 13–16

    Google Scholar 

  7. Requicha, A.A.G.; Voelcker, H.B. (1985) Boolean operations in solid modeling: boundary evaluation and merging algorithms, Proceedings of IEEE, vol. 3, pp 30–44

    Google Scholar 

  8. Jackins, C.L.; Tanomoto, S.L. (1980) Oct-trees and their use in representing three-dimensional objects, Computer Graphics and Image Processing, 14, 3, 249–270

    Google Scholar 

  9. Kela, A. (1989) Hierarchical octree approximation for boundary representation based geometric models, Computer-Aided Design, 21, 6, 355–362.

    Google Scholar 

  10. Cavendish, J.C.; Field, D.A.; Frey, W.H. (1985) An approach to automatic three-dimensional finite element mesh generations, International Journal for Numerical Methods in Engineering, 21, 329–347

    Google Scholar 

  11. Graichen, C.M., Hathaway, A.F., Finnigan, P.M.; Kela, A.; Schroeder, W.J. (1989) A 3-D fully automated geometry-based finite element meshing system, ASME Winter Annual Meeting, 89-WA/CIE-4, San Francisco, CA

  12. Schroeder, W.J.; Shephard, M.S. (1988) A combined octree/Delaunay method for fully automatic 3-D mesh generation, International Journal for Numerical Methods in Engineering, 26, 1, 37–55

    Google Scholar 

  13. Watson, D.F. (1981) Computing then-dimensional Delaunay tesselation with applications to Voronoi polytopes, Computer Journal, 24, 2, 167–172

    Google Scholar 

  14. Schroeder, W.J.; Shephard, M.S. (1989) Geometry-based fully automatic mesh generation and the Delaunay triangulation, International Journal for Numerical Methods in Engineering, 29, 11, 2503–2515

    Google Scholar 

  15. Irani, R.K. (1989) Integrating features, interative redesign, and CAE technology to automatic design of the feed system of injection molds, PhD Dissertation, University of Massachusetts, Amherst, Massachusetts

    Google Scholar 

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Saxena, M., Finnigan, P.M., Graichen, C.M. et al. Octree-based automatic mesh generation for non-manifold domains. Engineering with Computers 11, 1–14 (1995). https://doi.org/10.1007/BF01230440

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