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arXiv 2510.27487eess.IV

基于学习迭代方法的鲁棒定量光声断层成像

Towards robust quantitative photoacoustic tomography via learned iterative methods

Anssi Manninen, Janek Gröhl, Felix Lucka, Andreas Hauptmann

AI总结:

本文提出基于学习迭代方法的定量光声断层成像方法,通过模型信息迭代提升网络泛化能力,对比了梯度下降、高斯-牛顿等方法,测试了理想模拟数据和数字孪生数据集。

摘要:

光声断层成像(PAT)是一种医学成像技术,通过光学吸收提供高分辨率组织图像。经典重建方法依赖足够的先验信息来克服噪声和不完美的测量。由于这些方法使用计算昂贵的正向模型,计算变得缓慢,限制了其在时间敏感应用中的潜力。作为替代方法,基于深度学习的重建方法已被建立以实现更快和更准确的重建。然而,大多数方法依赖大量训练数据,这在实践中并不适用。在本工作中,我们采用基于模型的学习迭代方法用于定量PAT(QPAT),其中模型的额外信息被迭代提供给更新网络,从而在少量训练数据下实现更好的泛化能力。我们比较了基于梯度下降、高斯-牛顿和拟牛顿方法的不同学习更新性能。学习任务被公式化为贪心的,要求迭代最优,以及端到端的,其中所有网络联合训练。实施的方法在理想模拟数据以及模拟稀缺训练数据和高建模误差的数字孪生数据集上进行了测试。

英文摘要:

Photoacoustic tomography (PAT) is a medical imaging modality that can provide high-resolution tissue images based on the optical absorption. Classical reconstruction methods for quantifying the absorption coefficients rely on sufficient prior information to overcome noisy and imperfect measurements. As these methods utilize computationally expensive forward models, the computation becomes slow, limiting their potential for time-critical applications. As an alternative approach, deep learning-based reconstruction methods have been established for faster and more accurate reconstructions. However, most of these methods rely on having a large amount of training data, which is not the case in practice. In this work, we adopt the model-based learned iterative approach for the use in Quantitative PAT (QPAT), in which additional information from the model is iteratively provided to the updating networks, allowing better generalizability with scarce training data. We compare the performance of different learned updates based on gradient descent, Gauss-Newton, and Quasi-Newton methods. The learning tasks are formulated as greedy, requiring iterate-wise optimality, as well as end-to-end, where all networks are trained jointly. The implemented methods are tested with ideal simulated data as well as against a digital twin dataset that emulates scarce training data and high modeling error.

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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