TPMS2STEP 的约束矩阵和收敛性证明

arXiv - CS - Computational Geometry Pub Date : 2024-06-15 DOI:arxiv-2407.03352

Yaonaiming Zhao, Qiang Zou

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引用次数: 0

摘要

TPMS 始终采用功能表示（F-rep）格式进行描述，而现代 CAD/CAM/CAE 工具则基于边界表示（B-rep）格式。为了解决这个问题，需要将 TPMS 转换为 STEP，即 TPMS2STEP。本文提供了 TPMS2STEP 的约束矩阵和收敛性证明，以便在翻译过程中确保 $C^2$ 连续性和偏差的误差约束$2\epsilon$。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Constraints Matrices and Convergence Proof of TPMS2STEP

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 $2\epsilon$ on the deviation can be ensured during the translation.

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arXiv - CS - Computational Geometry

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