Constraints Matrices and Convergence Proof of TPMS2STEP
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913416296267776 |
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| author | Zhao, Yaonaiming Zou, Qiang |
| author_facet | Zhao, Yaonaiming Zou, Qiang |
| contents | TPMS is consistently described in the functional representation (F-rep) format, while modern CAD/CAM/CAE tools are built upon the boundary representation (B-rep) format. To solve this issue, translating TPMS to STEP is needed, called TPMS2STEP. This paper provides constraint matrices and convergence proof of TPMS2STEP so that $C^2$ continuity and an error bound of $2ε$ on the deviation can be ensured during the translation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_03352 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Constraints Matrices and Convergence Proof of TPMS2STEP Zhao, Yaonaiming Zou, Qiang Computational Geometry I.3.5 TPMS is consistently described in the functional representation (F-rep) format, while modern CAD/CAM/CAE tools are built upon the boundary representation (B-rep) format. To solve this issue, translating TPMS to STEP is needed, called TPMS2STEP. This paper provides constraint matrices and convergence proof of TPMS2STEP so that $C^2$ continuity and an error bound of $2ε$ on the deviation can be ensured during the translation. |
| title | Constraints Matrices and Convergence Proof of TPMS2STEP |
| topic | Computational Geometry I.3.5 |
| url | https://arxiv.org/abs/2407.03352 |