用深度学习生成统一四边形网格,实现精准高效的心脏主动脉瓣建模。
Shape Deformation Networks for Automated Aortic Valve Finite Element Meshing from 3D CT Images
- 基于模板拟合与神经网络,将CT图像转为统一四边形网格。
- 相比传统方法,网格平滑度和形状质量显著提升,且节点对应一致。
- 适合医学影像分析、个性化手术模拟等需要跨患者对比的研究者。
从3D CT图像精确构建主动脉瓣几何模型对于生物力学分析和个体化仿真至关重要。然而,不同患者间解剖差异大,传统方法常生成拓扑不规则的三角形网格,导致单元质量差且跨患者对应关系不一致。本文提出一种基于深度神经网络的模板拟合流程,从3D CT图像生成结构化的四边形(quad)网格以表征主动脉瓣几何。通过所有患者使用同一四边形模板重网格化,确保了全局一致的拓扑结构和节点-节点、单元-单元的对应关系。该一致性使神经网络损失函数仅需两项:几何重建项与光滑性正则项,即可有效保持网格平滑性和单元质量。实验表明,该方法生成的表面网格质量更高,平滑性更好,且所需显式正则化更少,验证了采用结构化四边形模板与神经网络训练能同时保障网格一致性、质量与训练效率。
原文摘要 · Abstract (English)
Accurate geometric modeling of the aortic valve from 3D CT images is essential for biomechanical analysis and patient-specific simulations to assess valve health or make a preoperative plan. However, it remains challenging to generate aortic valve meshes with both high-quality and consistency across different patients. Traditional approaches often produce triangular meshes with irregular topologies, which can result in poorly shaped elements and inconsistent correspondence due to inter-patient anatomical variation. In this work, we address these challenges by introducing a template-fitting pipeline with deep neural networks to generate structured quad (i.e., quadrilateral) meshes from 3D CT images to represent aortic valve geometries. By remeshing aortic valves of all patients with a common quad mesh template, we ensure a uniform mesh topology with consistent node-to-node and element-to-element correspondence across patients. This consistency enables us to simplify the learning objective of the deep neural networks, by employing a loss function with only two terms (i.e., a geometry reconstruction term and a smoothness regularization term), which is sufficient to preserve mesh smoothness and element quality. Our experiments demonstrate that the proposed approach produces high-quality aortic valve surface meshes with improved smoothness and shape quality, while requiring fewer explicit regularization terms compared to the traditional methods. These results highlight that using structured quad meshes for the template and neural network training not only ensures mesh correspondence and quality but also simplifies the training process, thus enhancing the effectiveness and efficiency of aortic valve modeling.
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