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Constraints Matrices and Convergence Proof of TPMS2STEP

Published 15 Jun 2024 in cs.CG | (2407.03352v1)

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 $C2$ continuity and an error bound of $2\epsilon$ on the deviation can be ensured during the translation.

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