2012 Fiscal Year Final Research Report
Topology-aware hexahedral mesh generation based on singularities of3D tensor fields
| Project/Area Number |
23650042
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Media informatics/Database
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| Research Institution | The University of Tokyo |
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Principal Investigator |
TAKAHASHI Shigeo 東京大学, 大学院新領域創成科学研究科, 准教授 (40292619)
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| Project Period (FY) |
2011 – 2012
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| Keywords | 四辺形メッシュ / 六面体メッシュ / テンソル場 / 特異点 / 双対 / 有限要素法 / 画 |
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| Research Abstract |
This research project aims at composing an algorithm fordecomposing the input 2D and 3D objects quadrilateral and hexahedral meshes, which aresets of quadrilaterals and hexahedra. This is an important process for transforming inputobjects into their discrete representations especially for finite element method analysis.Our idea is to synthesize an appropriate tensor field within the input object, and controlthe overall mesh topology by locating the degeneracy on the underlying tensor field. Thissuccessfully leads us to the generation of high-quality quadrilateral and hexahedralmeshes.
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