Accurate cardiac mesh reconstruction from volumetric data is essential for personalized cardiac modeling and clinical analysis. However, existing deformation-based approaches are prone to topological inconsistencies, particularly membrane penetration, which undermines the anatomical plausibility of the reconstructed mesh. To address this issue, we introduce Topology-Preserving Mesh Loss (TPM Loss), a novel loss function that explicitly enforces topological constraints during mesh deformation. By identifying topology-violating points, TPM Loss ensures spatially consistent reconstructions. Extensive experiments on CT and MRI datasets show that TPM Loss reduces topology violations by up to 93.1% while maintaining high segmentation accuracy (DSC: 89.1%-92.9%) and improving mesh fidelity (Chamfer Distance reduction up to 0.26 mm). These results demonstrate that TPM Loss effectively prevents membrane penetration and significantly improves cardiac mesh quality, enabling more accurate and anatomically consistent cardiac reconstructions.

本研究解决了现有基于变形的方法在心脏网格重建中存在的拓扑不一致性问题，特别是膜穿透，影响了重建网格的解剖合理性。提出的拓扑保持网格损失（TPM Loss）通过显式实施拓扑约束，在保持高分割准确度和改善网格保真度的同时，减少了最多93.1%的拓扑违规现象，从而显著提高了心脏网格的质量和解剖一致性。

拓扑保持损失用于准确且解剖上一致的心脏网格重建