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Erschienen in: Engineering with Computers 1/2009

01.01.2009 | Original Article

Hexahedral mesh generation for biomedical models in SCIRun

verfasst von: Jason F. Shepherd, Chris R. Johnson

Erschienen in: Engineering with Computers | Ausgabe 1/2009

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Abstract

Biomedical simulations are often dependent on numerical approximation methods, including finite element, finite difference, and finite volume methods, to model the varied phenomena of interest. An important requirement of the numerical approximation methods above is the need to create a discrete decomposition of the model geometry into a ‘mesh’. Historically, the generation of these meshes has been a critical bottleneck in efforts to efficiently generate biomedical simulations which can be utilized in understanding, planning, and diagnosing biomedical conditions. In this paper we discuss a methodology for generating hexahedral meshes for biomedical models using an algorithm implemented in the SCIRun Problem Solving Environment. The method is flexible and can be utilized to build up conformal hexahedral meshes ranging from models defined by single isosurfaces to more complex geometries with multi-surface boundaries.

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Literatur
2.
Zurück zum Zitat Benzley SE, Perry E, Merkley K, Clark B (1995) A comparison of all hexagonal and all tetrahedral finite element meshes for elastic and elasto-plastic analysis. In: Proceedings, 4th international meshing roundtable. Sandia National Laboratories, pp 179–191 Benzley SE, Perry E, Merkley K, Clark B (1995) A comparison of all hexagonal and all tetrahedral finite element meshes for elastic and elasto-plastic analysis. In: Proceedings, 4th international meshing roundtable. Sandia National Laboratories, pp 179–191
3.
Zurück zum Zitat Borden MJ, Shepherd JF, Benzley SE (2002) Mesh cutting: fitting simple all-hexahedral meshes to complex geometries. In: Proceedings, 8th international society of grid generation conference Borden MJ, Shepherd JF, Benzley SE (2002) Mesh cutting: fitting simple all-hexahedral meshes to complex geometries. In: Proceedings, 8th international society of grid generation conference
4.
Zurück zum Zitat Brewer M, Freitag-Diachin L, Knupp P, Leurent T, Melander DJ (2003) The MESQUITE mesh quality improvement toolkit. In: Proceedings, 12th international meshing roundtable. Sandia National Laboratories, pp 239–250 Brewer M, Freitag-Diachin L, Knupp P, Leurent T, Melander DJ (2003) The MESQUITE mesh quality improvement toolkit. In: Proceedings, 12th international meshing roundtable. Sandia National Laboratories, pp 239–250
5.
Zurück zum Zitat Bussler ML, Ramesh A (1993) The eight-node hexahedral elements in FEA of part designs. In: Foundry management and technology, pp 26–28 Bussler ML, Ramesh A (1993) The eight-node hexahedral elements in FEA of part designs. In: Foundry management and technology, pp 26–28
6.
Zurück zum Zitat Cifuentes AO, Kalbag A (1992) A performance study of tetrahedral and hexahedral elements in 3-D finite element structural analysis. Finite Elem Anal Des 12(3–4):313–318CrossRef Cifuentes AO, Kalbag A (1992) A performance study of tetrahedral and hexahedral elements in 3-D finite element structural analysis. Finite Elem Anal Des 12(3–4):313–318CrossRef
8.
Zurück zum Zitat Freitag L (1997) On combining Laplacian and optimization-based mesh smoothing techniques. AMD trends in unstructured mesh generation. ASME 220:37–43 Freitag L (1997) On combining Laplacian and optimization-based mesh smoothing techniques. AMD trends in unstructured mesh generation. ASME 220:37–43
9.
Zurück zum Zitat Freitag LA, Plassmann P (2000) Local optimization-based simplicial mesh untangling and improvement. Int J Numer Methods Eng 49(1):109–125 Freitag LA, Plassmann P (2000) Local optimization-based simplicial mesh untangling and improvement. Int J Numer Methods Eng 49(1):109–125
10.
Zurück zum Zitat Johnson C, MacLeod R, Parker S, Weinstein D (2004) Biomedical computing and visualization software environments. Commun ACM 47(11):64–71CrossRef Johnson C, MacLeod R, Parker S, Weinstein D (2004) Biomedical computing and visualization software environments. Commun ACM 47(11):64–71CrossRef
11.
Zurück zum Zitat Jones TR, Durand F, Desbrun M (2003) Non-iterative, feature-preserving mesh smoothing. ACM Trans Graph 22(3):943–949CrossRef Jones TR, Durand F, Desbrun M (2003) Non-iterative, feature-preserving mesh smoothing. ACM Trans Graph 22(3):943–949CrossRef
12.
Zurück zum Zitat Knupp P, Mitchell SA (1999) Integration of mesh optimization with 3D all-hex mesh generation, LDRD subcase 3504340000, final report. SAND 99-2852, October 1999 Knupp P, Mitchell SA (1999) Integration of mesh optimization with 3D all-hex mesh generation, LDRD subcase 3504340000, final report. SAND 99-2852, October 1999
14.
Zurück zum Zitat Knupp PM (2000) Hexahedral mesh untangling and algebraic mesh quality metrics. In: Proceedings, 9th international meshing roundtable. Sandia National Laboratories, pp 173–183 Knupp PM (2000) Hexahedral mesh untangling and algebraic mesh quality metrics. In: Proceedings, 9th international meshing roundtable. Sandia National Laboratories, pp 173–183
15.
Zurück zum Zitat Lorenson WE, Cline HE (1987) Marching cubes: a high resolution 3D surface construction algorithm. Comput Graph 21(4):163–169. Proceedings of SIGGRAPH ’87CrossRef Lorenson WE, Cline HE (1987) Marching cubes: a high resolution 3D surface construction algorithm. Comput Graph 21(4):163–169. Proceedings of SIGGRAPH ’87CrossRef
18.
Zurück zum Zitat Parker S, Weinstein D, Johnson C (1997) The SCIRun computational steering software system. In: Arge E, Bruaset A, Langtangen H (eds) Modern software tools in scientific computing. Birkhauser Press, Boston, pp 1–40 Parker S, Weinstein D, Johnson C (1997) The SCIRun computational steering software system. In: Arge E, Bruaset A, Langtangen H (eds) Modern software tools in scientific computing. Birkhauser Press, Boston, pp 1–40
20.
Zurück zum Zitat Schneiders R (1996) A grid-based algorithm for the generation of hexahedral element meshes. Eng Comput 12:168–177CrossRef Schneiders R (1996) A grid-based algorithm for the generation of hexahedral element meshes. Eng Comput 12:168–177CrossRef
21.
Zurück zum Zitat Schneiders R (1997) An algorithm for the generation of hexahedral element meshes based on an octree technique. In: Proceedings, 6th international meshing roundtable. Sandia National Laboratories, pp 183–194 Schneiders R (1997) An algorithm for the generation of hexahedral element meshes based on an octree technique. In: Proceedings, 6th international meshing roundtable. Sandia National Laboratories, pp 183–194
23.
Zurück zum Zitat Scott MA, Earp MN, Benzley SE, Stephenson MB (2005) Adaptive sweeping techniques. In: Proceedings, 14th international meshing roundtable. Sandia National Laboratories, pp 417–432 Scott MA, Earp MN, Benzley SE, Stephenson MB (2005) Adaptive sweeping techniques. In: Proceedings, 14th international meshing roundtable. Sandia National Laboratories, pp 417–432
24.
Zurück zum Zitat Shephard MS, Georges MK (1991) Three-dimensional mesh generation by finite octree technique. Int J Numer Methods Eng 32:709–749MATHCrossRef Shephard MS, Georges MK (1991) Three-dimensional mesh generation by finite octree technique. Int J Numer Methods Eng 32:709–749MATHCrossRef
25.
Zurück zum Zitat Shepherd JF (2007) Topologic and geometric constraint-based hexahedral mesh generation. Published Doctoral Dissertation, University of Utah Shepherd JF (2007) Topologic and geometric constraint-based hexahedral mesh generation. Published Doctoral Dissertation, University of Utah
26.
Zurück zum Zitat Shepherd JF, Mitchell SA, Knupp P, White DR (2000) Methods for multisweep automation. In: Proceedings, 9th international meshing roundtable. Sandia National Laboratories, pp 77–87 Shepherd JF, Mitchell SA, Knupp P, White DR (2000) Methods for multisweep automation. In: Proceedings, 9th international meshing roundtable. Sandia National Laboratories, pp 77–87
28.
Zurück zum Zitat Vachal P, Garimella RV, Shashkov MJ (2002) Mesh untangling. LAU-UR-02-7271, T-7 Summer Report 2002 Vachal P, Garimella RV, Shashkov MJ (2002) Mesh untangling. LAU-UR-02-7271, T-7 Summer Report 2002
29.
Zurück zum Zitat Weingarten VI (1994) The controversy over hex or tet meshing. Machine Design, pp 74–78, April 18 Weingarten VI (1994) The controversy over hex or tet meshing. Machine Design, pp 74–78, April 18
30.
Zurück zum Zitat White DR, Leland RW, Saigal S, Owen SJ (2001) The meshing complexity of a solid: an introduction. In: Proceedings, 10th international meshing roundtable. Sandia National Laboratories, pp 373–384 White DR, Leland RW, Saigal S, Owen SJ (2001) The meshing complexity of a solid: an introduction. In: Proceedings, 10th international meshing roundtable. Sandia National Laboratories, pp 373–384
31.
Zurück zum Zitat White DR, Saigal S, Owen SJ (2003) Meshing complexity of single part CAD models. In: Proceedings, 12th international meshing roundtable. Sandia National Laboratories, pp 121–134 White DR, Saigal S, Owen SJ (2003) Meshing complexity of single part CAD models. In: Proceedings, 12th international meshing roundtable. Sandia National Laboratories, pp 121–134
32.
Zurück zum Zitat Yerry MA, Shephard MS (1984) Three-dimensional mesh generation by modified octree technique. Int J Numer Methods Eng 20:1965–1990MATHCrossRef Yerry MA, Shephard MS (1984) Three-dimensional mesh generation by modified octree technique. Int J Numer Methods Eng 20:1965–1990MATHCrossRef
33.
Zurück zum Zitat Zhang Y, Bajaj C (2005) Adaptive and quality quadrilateral/hexahedral meshing from volumetric imaging data. In: Proceedings, 13th international meshing roundtable. Sandia National Laboratories, pp 365–376 Zhang Y, Bajaj C (2005) Adaptive and quality quadrilateral/hexahedral meshing from volumetric imaging data. In: Proceedings, 13th international meshing roundtable. Sandia National Laboratories, pp 365–376
Metadaten
Titel
Hexahedral mesh generation for biomedical models in SCIRun
verfasst von
Jason F. Shepherd
Chris R. Johnson
Publikationsdatum
01.01.2009
Verlag
Springer-Verlag
Erschienen in
Engineering with Computers / Ausgabe 1/2009
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-008-0108-z

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