arXiv:2509.09894eess.IVcs.LG2025-09被引 3

用神经算子直接反演3D光声成像,提升重建速度与质量。

Physics-Aware Neural Operators for Direct Inversion in 3D Photoacoustic Tomography

  • 构建端到端物理感知神经算子,直接从传感器数据生成3D图像
  • 在模拟与真实数据上分别提升33%和14%的相似度,支持稀疏采样
  • 无需重新训练即可适应不同传感器密度,适合临床前研究应用

学习受物理约束的逆向算子——而非对基于物理的重建结果进行后处理——是解决前向模型计算成本高的问题的通用策略。本文将其应用于三维光声计算机断层成像(3D PACT),当前系统依赖密集阵列传感器和长时间扫描,限制了临床转化。我们提出PANO(PACT成像神经算子),一种端到端的物理感知神经算子,可无须重训练即跨输入采样密度泛化,直接学习从原始传感器测量到三维体数据的逆映射。不同于先重建再去噪的两步法,PANO通过单次前向传播实现直接反演,联合嵌入物理与数据先验。其采用球面对称离散-连续卷积以匹配半球形传感器布局,并引入亥姆霍兹方程约束确保物理一致性。PANO在多种稀疏采集条件下,均能从模拟与真实数据中重构高质量图像,实现实时推理,在模拟数据上相比广泛使用的UBP算法提升约33个百分点的余弦相似度,在真实幻影数据上提升14个百分点。这些成果为更易获取的3D PACT系统开辟了路径,推动未来活体验证与临床转化。

原文摘要 · Abstract (English)

Learning physics-constrained inverse operators-rather than post-processing physics-based reconstructions-is a broadly applicable strategy for problems with expensive forward models. We demonstrate this principle in three-dimensional photoacoustic computed tomography (3D PACT), where current systems demand dense transducer arrays and prolonged scans, restricting clinical translation. We introduce PANO (PACT imaging neural operator), an end-to-end physics-aware neural operator-a deep learning architecture that generalizes across input sampling densities without retraining-that directly learns the inverse mapping from raw sensor measurements to a 3D volumetric image. Unlike two-step methods that reconstruct then denoise, PANO performs direct inversion in a single pass, jointly embedding physics and data priors. It employs spherical discrete-continuous convolutions to respect hemispherical sensor geometry and Helmholtz equation constraints to ensure physical consistency. PANO reconstructs high-quality images from both simulated and real data across diverse sparse acquisition settings, achieves real-time inference and outperforms the widely-used UBP algorithm by approximately 33 percentage points in cosine similarity on simulated data and 14 percentage points on real phantom data. These results establish a pathway toward more accessible 3D PACT systems for preclinical research, and motivate future in-vivo validation for clinical translation.

3D成像神经算子光声成像物理约束

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