arXiv:2512.12236eess.IVcs.CV2025-12

首个可跨采样率通用的CT重建神经算子,解决辐射与速度难题。

Resolution-Agnostic Neural Operators for Multi-Rate Sparse-View CT

  • 用神经算子在连续函数空间建模,无需重训练即可适配不同采样率
  • 比CNN提升3.4dB以上PSNR,推理速度是扩散模型的500倍
  • 适合临床多设备、多协议场景,对噪声和数据分布变化鲁棒

稀疏视图计算机断层扫描(CT)通过有限的X射线投影重建图像,以降低辐射剂量和扫描时间,但这是一个病态逆问题。现有方法虽能实现高保真重建,却局限于固定采集设置,难以跨采样率泛化。例如,卷积神经网络(CNN)在不同分辨率下使用相同卷积核,导致分辨率变化时出现伪影。这在临床中尤为关键,因不同器官和诊断协议的采样设置各异。本文提出首个用于CT重建的神经算子框架——CTO,将学习从离散网格扩展至连续函数空间,使单一模型无需重训练即可跨采样率泛化。我们还设计了两项新结构:(i) 在sinogram和图像空间双域并行的神经算子架构,捕捉互补的空间-频率信息;(ii) 具备旋转等变性的离散-连续卷积(DISCO),利用断层扫描中的固有旋转结构。实验表明,CTO在多个CT数据集上均优于CNN及其他基线方法(提升超3.4dB PSNR),且相比最先进扩散模型,推理速度提升500倍,平均性能提升3dB。CTO还展现出强跨数据集迁移能力和噪声鲁棒性。消融实验验证了各项设计的有效性。本工作确立了神经算子作为灵活、离散化无关的CT重建范式。代码已开源:https://github.com/neuraloperator/sparse_ct。

原文摘要 · Abstract (English)

Sparse-view Computed Tomography (CT) reconstructs images from a limited number of X-ray projections to reduce radiation and scanning time, which is an ill-posed inverse problem. Existing methods achieve high-fidelity reconstructions but overfit to a fixed acquisition setup, failing to generalize well across sampling rates. For example, convolutional neural networks (CNNs) use the same kernels across resolutions, leading to artifacts when data resolution changes. This is a critical limitation in clinical practice, where acquisition sampling settings vary across organs and diagnostic protocols. We propose Computed Tomography neural Operator (CTO), the first neural operator (NO) framework for CT reconstruction. CTO extends learning from fixed discretized grids to continuous function space, enabling a single model to generalize across measurement sampling rates without retraining. We also propose new NO architectural designs for CT: (i) a dual-domain NO architecture in both sinogram and image spaces, capturing complementary spatial-frequency information, and (ii) rotation-equivariant DIScrete-COntinuous convolutions (DISCO) that exploit the rotational structure inherent in tomographic acquisition. Empirically, CTO outperforms CNNs (> 3.4dB PSNR gain) and other baselines in multi-resolution settings across multiple CT datasets. Compared to state-of-the-art diffusion methods, CTO has 500x faster inference with an average 3dB gain. CTO further demonstrates strong out-of-distribution robustness, maintaining gains under cross-dataset transfer and noisy sinogram conditions. Ablation studies also validate each design choice. CTO establishes neural operators as a principled and practical paradigm for flexible, discretization-agnostic CT reconstruction. Our code is available at https://github.com/neuraloperator/sparse_ct.

CT重建神经算子稀疏视图医学影像

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