Tensor-guided hex-dominant mesh generation with targeted all-hex regions

Proceedings of the 18th International Meshing Roundtable, IMR 2009

Volumn , Issue , 2009, Pages 377-396

  Vyas, Ved ^a   Shimada, Kenji ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY INFORMATION; INDUSTRY ANALYSIS; LARGE DEFORMATIONS; METRIC FIELDS; METRIC TENSOR; PIECEWISE-CONTINUOUS; REGIONS OF INTEREST; TENSOR FIELDS;

ANISOTROPY; FINITE ELEMENT METHOD;

TENSORS;

EID: 82455170092     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-642-04319-2_22     Document Type: Conference Paper

References (29)

1. Lu, Y., Gadh, R., Tautges, T.J.: Volume Decomposition and Feature Recognition for Hexahedral Mesh Generation. In: Proceedings of the 8th International Meshing Roundtable, pp. 269-280 (1999)
2. Schneiders, R., Schindler, R., Weiler, F.: Octree-based Generation of Hexahedral Element Meshes. In: Proceedings of the 5th International Meshing Roundtable, pp. 205-216 (1996)
3. Zhang, Y., Hughes, T.J.R., Bajaj, C.L.: Automatic 3D Mesh Generation for a Domain With Multiple Materials. In: Proceedings of the 16th International Meshing Roundtable, pp. 367-386 (2007)
4. Blacker, T.D., Meyers, R.J.: Seams and Wedges in Plastering: A 3D Hexahedral Mesh Generation Algorithm. Engineering with Computers 2(9), 83-93 (1993)
5. Staten, M.L., Kerr, R.A., Owen, S.J., Blacker, T.D.: Unconstrained Paving and Plastering: Progress Update. In: Proceedings of the 15th International Meshing Roundtable, pp. 469-496 (2006)
6. Blacker, T.: Meeting the Challenge for Automated Conformal Hexahedral Meshing. In: Proceedings of the 9th International Meshing Roundtable, pp. 11-19 (2000)
7. Yamakawa, S., Shimada, K.: High Quality Anisotropic Tetrahedral Mesh Generation Via Ellipsoidal Bubble Packing. In: Proceedings of the 9th International Meshing Roundtable (2000)
8. Shimada, K., Liao, J.-H., Itoh, T.: Quadrilateral Meshing With Directionality Control through the Packing of Square Cells. In: Proceedings of the 7th International Meshing Roundtable, pp. 61-76 (1998)
9. Viswanath, N., Shimada, K., Itoh, T.: Quadrilateral Meshing With Anisotropy and Directionality Control Via Close Packing Of Rectangular Cells. In: Proceedings of the 9th International Meshing Roundtable, pp. 217-225 (2000)
10. Bossen, F.J., Heckbert, P.S.: A Pliant Method for Anisotropic Mesh Generation. In: Proceedings of the 5th International Meshing Roundtable, pp. 63-76 (1996)
11. Li, X.Y., Teng, S.H., Üngör, A.: Biting Ellipses to Generate Anisotropic Mesh. In: Proceedings of the 8th International Meshing Roundtable, pp. 97-108 (1999)
12. Strang, G.: Linear Algebra and Its Applications, 3rd edn. Brooks-Cole (1988)
13. Sirois, Y., Dompierre, J., Vallet, M.G., Guibault, F.: Mesh Smoothing Based On Riemannian Metric Non-Conformity Minimization. In: Proceedings of the 15th International Meshing Roundtable, pp. 271-288 (2006)
14. Zhang, E., Hays, J., Turk, G.: Interactive Tensor Field Design and Visualization on Surfaces. IEEE Trans. Visual Comput. Graphics 13(1), 94-107 (2007)
15. Palacios, J., Zhang, E.: Rotational Symmetry Field Design on Surfaces. In: Proceedings of ACM SIGGRAPH, p. 55 (2007)
16. Alliez, P., Cohen-Steiner, D., Devillers, O., Levy, B., Desbrun, M.: Anisotropic Polygonal Remeshing. In: Proceedings of ACM SIGGRAPH, pp. 485-493 (2003)
17. Tchon, K.F., Dompierre, J., Vallet, M.G., Camarero, R.: Visualizing Mesh Adaptation Metric Tensors. In: Proceedings of the 13th International Meshing Roundtable, pp. 353-363 (2004)
18. Golub, G.H., Van Loan, C.F.: Matrix Computations, 3rd edn. JHU Press, Baltimore (1996)
19. Sundareswara, R., Schrater, P.: Extensible Point Location Algorithm. In: Proceedings of the 2003 International Conference on Geometric Modeling and Graphics, pp. 84-89 (2003)
20. Pennec, X., Fillard, P., Ayache, N.: A Riemannian Framework for Tensor Computing. Int. J. Comput. Vision 66(1), 41-66 (2006)
21. Hesselink, L., Levy, Y., Lavin, Y.: The Topology of Symmetric, Second-Order 3D Tensor Fields. IEEE Trans. Visual Comput. Graphics 3(1) (1997)
22. Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P.: Numerical Recipes in C: The Art of Scientific Computing, 2nd edn. Cambridge Univ. Press, UK (1992)
23. Akenine-Möller, T.: Fast 3D triangle-box overlap testing. In: SIGGRAPH 2005: ACM SIGGRAPH 2005 Courses, Article 8 (2005)
24. Yamakawa, S., Shimada, K.: Fully-automated hex-dominant mesh generation with directionality control via packing rectangular solid cells. International Journal for Numerical Methods in Engineering 57(15), 2099-2129 (2003)
25. Zheng, X., Parlett, B.N., Pang, A.: Topological lines in 3D tensor fields and discriminant Hessian factorization. IEEE Trans. Vis. and Comput. Graphics 11(4) (2005)
26. Simulia Corp., ABAQUS Analysis User's Manual, Version 6.8 (2008)
27. Meyers, R.J., Tautges, T.J., Tuchinsky, P.M.: The 'Hex-Tet' Hex-Dominant Meshing Algorithm as Implemented in CUBIT. In: Proceedings of the 7th International Meshing Roundtable, pp. 151-158 (1998)
28. Edelsbrunner, H.: Square Tori: -5/4 time. 180 Wrapped Tubes, http://www.cs.duke.edu/~edels/Tubes/tori/quad/n5.stl
29. Yamakawa, S., Shimada, K.: Subdivision Templates for Converting a Nonconformal Hex-Dominant Mesh to a Conformal Hex-Dominant Mesh without Pyramid Elements. In: Proceedings of the 17th International Meshing Roundtable, pp. 497-512 (2008)