English

Constraints Matrices and Convergence Proof of TPMS2STEP

Computational Geometry 2024-07-08 v1

Abstract

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 C2C^2 continuity and an error bound of 2ϵ2\epsilon on the deviation can be ensured during the translation.

Keywords

Cite

@article{arxiv.2407.03352,
  title  = {Constraints Matrices and Convergence Proof of TPMS2STEP},
  author = {Yaonaiming Zhao and Qiang Zou},
  journal= {arXiv preprint arXiv:2407.03352},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2405.07946

R2 v1 2026-06-28T17:28:19.628Z