Connectivity-Preserving Cortical Surface Tetrahedralization

Besm Osman; Ruben Vink; Andrei Jalba; Maxime Chamberland

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arXiv · 2512.08450

Connectivity-Preserving Cortical Surface Tetrahedralization

Besm Osman·Ruben Vink·Andrei Jalba·Maxime Chamberland

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Abstract

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.

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Besm Osman, Ruben Vink, Andrei Jalba, Maxime Chamberland. 2025-12-09. Connectivity-Preserving Cortical Surface Tetrahedralization. https://arxiv.org/abs/2512.08450

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