arXiv:2509.14844physics.med-phcs.LG2025-09被引 1

无需访问模型代码,用少量MRI数据高精度重建心脏运动场。

Non-Intrusive Parametrized-Background Data-Weak Reconstruction of Cardiac Displacement Fields from Sparse MRI-like Observations

  • 基于非侵入式背景数据弱方法,仅需解算快照即可重建心脏位移场。
  • 无噪声下误差达1e-5,10%噪声和稀疏测量下误差仍低于1e-2。
  • 计算速度比完整有限元模拟快10000倍,适合临床实时应用。

个性化心脏诊断需要从稀疏临床影像数据中准确重建心肌位移场,但现有方法常需侵入式访问计算模型。本文将非侵入式参数化背景数据弱(PBDW)方法应用于三维心脏位移场重建,仅需解算快照,无需控制方程、组装代码或求解器访问,可直接部署于各类商业与研究代码。提出两种改进:一种基于H-size小批量最坏情况正交匹配追踪(wOMP)的传感器选择算法,提升效率且保持精度;另一种利用向量问题中的块矩阵结构进行内存优化。在含模拟瘢痕组织的三维左心室模型上验证,无噪声时相对L2误差为1e-5,10%高斯噪声下仍保持1e-2量级,稀疏采样下误差亦在1e-2量级。在线重建时间不足0.1秒,较全有限元模拟提速10000倍,展现出良好的临床整合潜力。

原文摘要 · Abstract (English)

Personalized cardiac diagnostics require accurate reconstruction of myocardial displacement fields from sparse clinical imaging data, yet current methods often demand intrusive access to computational models. In this work, we apply the non-intrusive Parametrized-Background Data-Weak (PBDW) approach to three-dimensional (3D) cardiac displacement field reconstruction from limited Magnetic Resonance Image (MRI)-like observations. Our implementation requires only solution snapshots -- no governing equations, assembly routines, or solver access -- enabling immediate deployment across commercial and research codes using different constitutive models. Additionally, we introduce two enhancements: an H-size minibatch worst-case Orthogonal Matching Pursuit (wOMP) algorithm that improves Sensor Selection (SS) computational efficiency while maintaining reconstruction accuracy, and memory optimization techniques exploiting block matrix structures in vectorial problems. We demonstrate the effectiveness of the method through validation on a 3D left ventricular model with simulated scar tissue. Starting with noise-free reconstruction, we systematically incorporate Gaussian noise and spatial sparsity mimicking realistic MRI acquisition protocols. Results show exceptional accuracy in noise-free conditions (relative L2 error of order O(1e-5)), robust performance with 10% noise (relative L2 error of order O(1e-2)), and effective reconstruction from sparse measurements (relative L2 error of order O(1e-2)). The online reconstruction achieves four-order-of-magnitude computational speed-up compared to full Finite Element (FE) simulations, with reconstruction times under one tenth of second for sparse scenarios, demonstrating significant potential for integration into clinical cardiac modeling workflows.

心脏建模数据重建稀疏观测PBDW

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。