Hexahedral Mesh Generation for the Simulation of the Human Mandible
| dc.contributor.author | Kober, Cornelia | |
| dc.contributor.author | Müller-Hannemann, Matthias | |
| dc.date.accessioned | 2021-12-17T10:17:38Z | |
| dc.date.available | 2021-12-17T10:17:38Z | |
| dc.date.issued | 2000 | |
| dc.description.abstract | A combinatorial approach for the generation of hexahedral meshes by means of successive dual cycle elimination has been proposed by the second author in previous work. We provide a case study for the applicability of our hexahedral mesh generation approach to the simulation of physiological stress scenarios of the human mandible. Due to its complex and very detailed free-form geometry, the mandible model is very demanding. This test case is used as a running example to report on the progress and recent advances of the cycle elimination scheme. The given input data, a surface triangulation, requires a substantial mesh reduction and a suitable conversion into a quadrilateral surface mesh as a first step, for which we use mesh clustering and b-matching techniques. Several strategies for improved cycle elimination orders are proposed. They lead to a significant reduction in the mesh size and a better structural quality. Based on the resulting combinatorial meshes, gradient- based optimized smoothing with the condition number of the Jacobian matrix as objective together with mesh untangling techniques yielded embeddings of a satisfactory quality. We tested our hexahedral meshes for the mandible model in an FEM simulation under the scenario of a bite on a “hard nut.” Our simulation results are in good agreement with observations from biomechanical experiments. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15955 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14728 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | hexahedral mesh generation | en |
| dc.subject.other | quadrilateral mesh generation | en |
| dc.subject.other | optimized mesh smoothing | en |
| dc.subject.other | FEM simulation | en |
| dc.subject.other | human mandible | en |
| dc.title | Hexahedral Mesh Generation for the Simulation of the Human Mandible | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 2000, 692 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 65M50 Mesh generation and refinement | en |
| tub.subject.msc2000 | 65D18 Computer graphics and computational geometry | en |