用几何编码+生成数据,让心脏模型在数据少时也能准预测
Shape-informed cardiac mechanics surrogates in data-scarce regimes via geometric encoding and generative augmentation

- 先学心脏形状的压缩表示,再生成新形状扩充数据
- 在理想与患者数据上,对未知形状预测误差低至3.2%~5.1%
- 适合临床心脏模拟、小样本医学建模场景
高保真心脏力学模型虽能揭示心功能机制,但计算成本过高,难以用于常规临床。代理模型可加速仿真,但在多样解剖结构下泛化困难,尤其在数据稀缺时。本文提出两阶段框架,将几何表征与物理响应学习解耦,实现数据稀缺下的形状感知代理建模。首先,通过形状模型学习左心室几何的紧凑隐空间,有效编码解剖特征并生成合成几何以增强数据。其次,基于神经场的代理模型,以几何编码为条件,预测外部载荷下的心室位移。该架构采用通用心室坐标进行位置编码,提升跨解剖结构的泛化能力。几何变异性采用两种策略编码:适用于点云表示的PCA方法,以及直接从点云学习的DeepSDF隐式神经表示。在理想化和患者特异性数据集上的结果表明,所提方法能实现准确预测,对未见几何具有强泛化能力,且对噪声或稀疏采样输入具备鲁棒性。
原文摘要 · Abstract (English)
High-fidelity computational models of cardiac mechanics provide mechanistic insight into the heart function but are computationally prohibitive for routine clinical use. Surrogate models can accelerate simulations, but generalization across diverse anatomies is challenging, particularly in data-scarce settings. We propose a two-step framework that decouples geometric representation from learning the physics response, to enable shape-informed surrogate modeling under data-scarce conditions. First, a shape model learns a compact latent representation of left ventricular geometries. The learned latent space effectively encodes anatomies and enables synthetic geometries generation for data augmentation. Second, a neural field-based surrogate model, conditioned on this geometric encoding, is trained to predict ventricular displacement under external loading. The proposed architecture performs positional encoding by using universal ventricular coordinates, which improves generalization across diverse anatomies. Geometric variability is encoded using two alternative strategies, which are systematically compared: a PCA-based approach suitable for working with point cloud representations of geometries, and a DeepSDF-based implicit neural representation learned directly from point clouds. Overall, our results, obtained on idealized and patient-specific datasets, show that the proposed approaches allow for accurate predictions and generalization to unseen geometries, and robustness to noisy or sparsely sampled inputs.
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