arXiv:2507.22316cs.CV2025-07被引 3

LAMA-Net通过双域协同优化,实现高稳定性的医学图像重建。

LAMA-Net: A Convergent Network Architecture for Dual-Domain Reconstruction

  • 基于残差学习的交替优化框架,融合图像与测量域信息。
  • 理论证明算法收敛至克拉克平稳点,确保网络稳定可靠。
  • 可扩展为iLAMA-Net,初始化设计进一步提升重建质量。

我们提出一种可学习的变分模型,通过从图像域和测量域中学习特征并利用互补信息来实现图像重建。具体地,我们引入了先前工作中提出的可学习交替最小化算法(LAMA),该算法在近端交替框架中结合残差学习结构,以解决两块非凸非光滑优化问题。本文的目标是为LAMA提供完整严格的收敛性证明,表明指定子序列的所有累积点必为该问题的克拉克平稳点。LAMA直接生成一个高度可解释的神经网络架构——LAMA-Net。值得注意的是,除了先前工作中的结果外,本研究还展示了LAMA的收敛性带来LAMA-Net在稀疏视图计算机断层成像中的出色稳定性与鲁棒性。此外,我们证明通过集成一个合理设计的网络以生成合适初始值,可进一步提升LAMA-Net性能,该改进版本称为iLAMA-Net。为评估LAMA-Net/iLAMA-Net,我们在多个流行基准数据集上进行了实验,并与若干先进方法进行了对比。

原文摘要 · Abstract (English)

We propose a learnable variational model that learns the features and leverages complementary information from both image and measurement domains for image reconstruction. In particular, we introduce a learned alternating minimization algorithm (LAMA) from our prior work, which tackles two-block nonconvex and nonsmooth optimization problems by incorporating a residual learning architecture in a proximal alternating framework. In this work, our goal is to provide a complete and rigorous convergence proof of LAMA and show that all accumulation points of a specified subsequence of LAMA must be Clarke stationary points of the problem. LAMA directly yields a highly interpretable neural network architecture called LAMA-Net. Notably, in addition to the results shown in our prior work, we demonstrate that the convergence property of LAMA yields outstanding stability and robustness of LAMA-Net in this work. We also show that the performance of LAMA-Net can be further improved by integrating a properly designed network that generates suitable initials, which we call iLAMA-Net. To evaluate LAMA-Net/iLAMA-Net, we conduct several experiments and compare them with several state-of-the-art methods on popular benchmark datasets for Sparse-View Computed Tomography.

图像重建深度学习优化理论医学成像

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