All-hex meshing using closed-form induced polycube
| Autor: | Xianzhong Fang, Jin Huang, Weiwei Xu, Hujun Bao |
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| Rok vydání: | 2016 |
| Předmět: |
Curl (mathematics)
Integrable system 0211 other engineering and technologies 020207 software engineering Ranging 02 engineering and technology Computer Science::Computational Geometry Polycube Topology Computer Graphics and Computer-Aided Design Singularity 0202 electrical engineering electronic engineering information engineering Vector field Polygon mesh Gravitational singularity 021106 design practice & management Mathematics |
| Zdroj: | ACM Transactions on Graphics. 35:1-9 |
| ISSN: | 1557-7368 0730-0301 |
| DOI: | 10.1145/2897824.2925957 |
| Popis: | The polycube-based hexahedralization methods are robust to generate all-hex meshes without internal singularities. They avoid the difficulty to control the global singularity structure for a valid hexahedralization in frame-field based methods. To thoroughly utilize this advantage, we propose to use a frame field without internal singularities to guide the polycube construction. Theoretically, our method extends the vector fields associated with the polycube from exact forms to closed forms, which are curl free everywhere but may be not globally integrable. The closed forms give additional degrees of freedom to deal with the topological structure of high-genus models, and also provide better initial axis alignment for subsequent polycube generation. We demonstrate the advantages of our method on various models, ranging from genus-zero models to high-genus ones, and from single-boundary models to multiple-boundary ones. |
| Databáze: | OpenAIRE |
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