Block-structured hexahedral meshes for CAD models using 3D frame fields

Procedia Engineering

Volumn 82, Issue , 2014, Pages 59-71

  Kowalski, N ^a   Ledoux, F ^b   Frey, P ^c  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b DIF   (France)

^c SORBONNE UNIVERSITÉ   (France)

Author keywords

Block structured; Frame fields; Hexahedra; Mesh

Indexed keywords

ALGORITHMS;

BLOCK STRUCTURED; BLOCK STRUCTURES; FRAME FIELDS; HEXAHEDRA; MESH; PARAMETRIZATIONS; TETRAHEDRAL MESHES; TWO-STEP PROCESS;

COMPUTER AIDED DESIGN;

EID: 84949135252     PISSN: None     EISSN: 18777058     Source Type: Conference Proceeding    
DOI: 10.1016/j.proeng.2014.10.373     Document Type: Conference Paper

References (25)

1. J. Huang, Y. Tong, H. Wei, H. Bao, Boundary aligned smooth 3d cross-frame field, ACM Trans. Graph. 30 (2011) 143:1-143:8.
2. Y. Li, Y. Liu, W. Xu, W. Wang, B. Guo, All-hex meshing using singularity-restricted field, ACM Trans. Graph. 31 (2012) 177:1-177:11.
3. F. Ledoux, J. Shepherd, Topological and geometrical properties of hexahedral meshes, Engineering with Computers 26 (2010) 419-432.
4. M. Nieser, U. Reitebuch, K. Polthier, Cubecover-parameterization of 3d volumes, Comput. Graph. Forum 30 (2011) 1397-1406.
5. T. J. Tautges, The generation of hexahedral meshes for assembly geometry: survey and progress, International Journal for Numerical Methods in Engineering 50 (2001) 2617-2642.
6. P. K. J. Shepherd, S.A. Mitchell, D. White, Methods for multisweep automation, in: proceedings of the 9th International Meshing Roundtable, 2000, pp. 77-87.
7. X. R. Eloi Ruiz-Gironés, J. Sarrate, A new procedure to compute imprints in multi-sweeping algorithms, in: B. W. Clark (Ed.), proceedings of the 18th International Meshing Roundtable, Springer, 2009, pp. 281-299.
8. T. Blacker, R. Meyers, Seams and wedges in plastering:a 3d hexahedral mesh generation algorithm, Engineering with Computers 2 (1993) 83-93.
9. S. Owen, S. Sunil, H-morph: An indirect approach to advancing front hex meshing, International Journal for Numerical Methods in Engineering 1 (2000) 289-312.
10. T. Tautges, T. Blacker, S. Mitchell, The whisker weaving algorithm: A connectivity-based method for constructing all-hexahedral finite element meshes, International Journal For Numerical Methods in Engineering 39 (1996) 3327-3349.
11. F. Ledoux, J.-C.Weill, An extension of the reliable whisker weaving algorithm, in: proceedings of the 16th International Meshing Roundtable, Springer, 2007, pp. 215-232.
12. R. Schneiders, An algorithm for the generation of hexahedral element meshes based on a octree technique, in: proceedings of the 6th International Meshing Roundtable, 1997, pp. 183-194.
13. L. Maréchal, Advances in octree-based all-hexahedral mesh generation: Handling sharp features, in: B. W. Clark (Ed.), proceedings of the 18th International Meshing Roundtable, Springer, 2009, pp. 65-84.
14. M. L. Staten, R. A. Kerr, S. J. Owen, T. D. Blacker, M. Stupazzini, K. Shimada, Unconstrained plastering-hexahedral mesh generation via advancing-front geometry decomposition, International Journal for Numerical Methods in Engineering 81 (2010) 135-171.
15. J. Gregson, A. Sheffer, E. Zhang, All-hex mesh generation via volumetric polycube deformation, Comput. Graph. Forum 30 (2011) 1407-1416.
16. J. Huang, T. Jiang, Z. Shi, Y. Tong, H. Bao, M. Desbrun, L1-based construction of polycube maps from complex shapes, in: ACM Transactions on Graphics, 2014.
17. F. Kalberer, M. Nieser, K. Polthier, Quadcover-surface parameterization using branched coverings, Comput. Graph. Forum 26 (2007) 375-384.
18. N. Ray, B. Vallet, W.-C. Li, B. Lévy, N-symmetry direction field design, ACM Trans. Graph. 27 (2008).
19. N. Kowalski, F. Ledoux, P. Frey, A pde based approach to multidomain partitioning and quadrilateral meshing, in: Springer-Verlag (Ed.), 21th International Meshing Roundtable, 2012, pp. 137-154.
20. J. Huang, M. Zhang, J. Ma, X. Liu, L. Kobbelt, H. Bao, Spectral quadrangulation with orientation and alignment control, ACM Trans. Graph. 27 (2008) 147.
21. D. Bommes, B. Levy, N. Pietroni, E. Puppo, C. Silva, M. Tarini, D. Zorin, Quad-mesh generation and processing: A survey, Computer Graphics Forum (2013).
22. J. Huang, T. Jiang, Y. Wang, Y. Tong, H. Bao, Automatic Frame Field Guided Hexahedral Mesh Generation, Technical Report, State Key Lab of CAD&CG, College of Computer Science at Zhejiang University, 2012.
23. T. Jiang, J. Huang, Y.Wang, Y. Tong, Frame field singularity correction for automatic hexahedralization, in: IEEE Transactions on Visualization and Computer Graphics, 2014.
24. J. Palacios, E. Zhang, Rotational symmetry field design on surfaces, ACM Trans. Graph. 26 (2007) 55.
25. M. Nieser, K. Polthier, Parameterizing singularities of positive integral index, in: IMA Conference on the Mathematics of Surfaces, 2009, pp. 265-277.