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 C² continuity and an error bound of 2ε on the deviation can be ensured during the translation.
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Zhao et al. (2024) studied this question.
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