A prerequisite for many biomechanical simulation techniques is discretizing a bounded volume into a tetrahedral mesh. In certain contexts, such as cortical surface simulations, preserving input surface connectivity is critical. However, automated surface extraction often yields meshes containing self-intersections, small holes, and faulty geometry, which prevents existing constrained and unconstrained meshers from preserving this connectivity. We address this issue by developing a novel tetrahedralization method that maintains input surface connectivity in the presence of such defects. We also present a metric to quantify the preservation of surface connectivity and demonstrate that our method correctly maintains connectivity compared to existing solutions.

翻译：许多生物力学仿真技术的前提是将有界体积离散化为四面体网格。在某些场景下，例如皮层表面仿真，保持输入表面连接性至关重要。然而，自动表面提取常产生包含自相交、微小孔洞及几何缺陷的网格，这导致现有约束与非约束网格生成器均无法维持该连接性。针对此问题，我们提出一种新型四面体化方法，能在存在此类缺陷时保持输入表面连接性。我们还提出一种量化表面连接性保持程度的指标，并证明相较于现有解决方案，本方法能正确维持连接性。