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arXiv 2607.04243cs.CV

HeartVolMesh:通过协方差引导的图变形进行心脏体积网格重建

HeartVolMesh: Cardiac Volumetric Mesh Reconstruction via Covariance-Guided Graph Deformation

Centre for Computational Imaging and Modelling in Medicine (CIMIM), University of Manchester(曼彻斯特大学医学计算成像与建模中心(CIMIM));Christabel Pankhurst Institute, University of Manchester(曼彻斯特大学克里斯塔贝尔·潘克赫斯特研究所);Department of Computer Science, University of Manchester(曼彻斯特大学计算机科学系);Division of Informatics, Imaging & Data Sciences, University of Manchester(曼彻斯特大学信息学、成像与数据科学部);NIHR Manchester Biomedical Research Centre, Manchester Academic Health Sciences Centre, University of Manchester(曼彻斯特大学NIHR曼彻斯特生物医学研究中心,曼彻斯特学术健康科学中心)

Fengming Lin, Arezoo Zakeri, Haoran Dou, Zherui Zhou, Shaokun Lan, Jinming Duan, Alejandro Frangi

AI总结:

提出HeartVolMesh,将模板顶点提升为各向异性高斯核,用3D CNN-GNN预测位移和协方差,经协方差感知负对数似然损失训练,通过多步骤变形固定模板生成网格,实验表明其在精度上优于基于变形的基线。

摘要:

准确的患者特异性四面体心脏网格对计算机模拟试验至关重要,但常见流程会模糊薄壁解剖结构且跨病例对应性有限。我们提出HeartVolMesh,将每个模板顶点提升为各向异性高斯核,并使用3D CNN-GNN从体积图像预测每个顶点的位移和Cholesky参数化协方差。训练由具有轻量级网格正则化的协方差感知负对数似然损失引导。对于体积网格划分,我们通过分阶段对齐、非刚性配准和变形传播将固定的四面体模板扭曲到重建表面,通过构造保持连通性和对应性,分辨率由模板密度控制。实验表明,在表面网格精度和体积网格保真度方面,与基于变形的基线相比有一致的提升。

英文摘要:

Accurate patient-specific tetrahedral cardiac meshes are essential for in-silico trials, yet common segmentation-then-modelling pipelines can blur thin-wall anatomy and offer limited cross-case correspondence. We propose HeartVolMesh, which lifts each template vertex to an anisotropic Gaussian kernel and uses a 3D CNN-GNN to predict per-vertex displacements and Cholesky-parameterized covariances from volumetric images. Training is guided by a covariance-aware negative log-likelihood loss with lightweight mesh regularization. For volumetric meshing, we warp a fixed tetrahedral template to the reconstructed surface via staged alignment, non-rigid registration, and deformation propagation, preserving connectivity and correspondence by construction, with resolution controlled by template density. Experiments show consistent gains over deformation-based baselines in surface mesh accuracy and volumetric mesh fidelity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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