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Constrained Tetrahedral Subdivision for Arbitrary Polygonal Prismatic Meshes
| Content Provider | Semantic Scholar |
|---|---|
| Author | Yin, Xiaotian Guo, Yang Li, Jian Gu, Xianfeng |
| Copyright Year | 2017 |
| Abstract | Abstract We consider the tetrahedral subdivision problem for a polygonal prismatic mesh with prescribed boundary constraints and without Steiner points. We prove the necessary and sufficient conditions for the existence of solutions, and also provide algorithms to compute such a constrained subdivision if there exists one. The result applies to arbitrary k-gonal prismatic meshes and even mixed prismatic meshes, allowing arbitrary topology for the base mesh and arbitrary constraints on the boundary. |
| Starting Page | 53 |
| Ending Page | 64 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| DOI | 10.1016/j.proeng.2017.09.788 |
| Alternate Webpage(s) | http://imr.sandia.gov/papers/imr26/1009_imr26_Yin.pdf |
| Alternate Webpage(s) | https://doi.org/10.1016/j.proeng.2017.09.788 |
| Volume Number | 203 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |