arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2008.01846eess.IVcs.CVcs.LG
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稳定的深部断层重建

Stabilizing Deep Tomographic Reconstruction

Rensselaer Polytechnic Institute(伦斯勒理工学院);Southeast University(东南大学);Fudan University(复旦大学);University of Massachusetts Lowell(马萨诸塞大学洛厄尔分校);The University of Hong Kong(香港大学)

Weiwen Wu, Dianlin Hu, Wenxiang Cong, Hongming Shan, Shaoyu Wang, Chuang Niu, Pingkun Yan, Hengyong Yu, Varut Vardhanabhuti, Ge Wang

摘要:

使用深度学习的断层扫描图像重建是一个新兴领域,但最近的一项具有里程碑意义的研究表明,几种深度重建网络对于计算机断层扫描(CT)和磁共振成像(MRI)是不稳定的。具体而言,报告了三种不稳定性:(1)来自微小扰动的强烈图像伪影,(2)深度重建图像中丢失的小特征,以及(3)随着输入数据的增加而降低的成像性能。另一方面,压缩感知(CS)启发的重构方法由于其内置的内核感知而不遭受这些不稳定性。为了使深度重建充分发挥其潜力并成为断层成像的主流方法,通过稳定深度重建网络来应对这一挑战至关重要。在这里,我们提出了一个分析压缩迭代深度(ACID)框架来解决这一挑战。ACID协同使用在大数据上训练的深度重建网络,来自CS启发处理的内核感知,以及迭代细化,以最大限度地减少相对于实际测量的数据残差。我们的研究表明,使用ACID的深度重建是准确和稳定的,并揭示了在有界相对误差范数(BREN)条件下ACID迭代的收敛机制。特别是,该研究表明,基于ACID的重建对对抗性攻击具有弹性,优于单独的经典稀疏正则化重建,并消除了三种不稳定性。我们预计,这种集成的数据驱动的方法将有助于促进发展和翻译的深层断层图像重建网络的临床应用。

英文摘要:

Tomographic image reconstruction with deep learning is an emerging field, but a recent landmark study reveals that several deep reconstruction networks are unstable for computed tomography (CT) and magnetic resonance imaging (MRI). Specifically, three kinds of instabilities were reported: (1) strong image artefacts from tiny perturbations, (2) small features missing in a deeply reconstructed image, and (3) decreased imaging performance with increased input data. On the other hand, compressed sensing (CS) inspired reconstruction methods do not suffer from these instabilities because of their built-in kernel awareness. For deep reconstruction to realize its full potential and become a mainstream approach for tomographic imaging, it is thus critically important to meet this challenge by stabilizing deep reconstruction networks. Here we propose an Analytic Compressed Iterative Deep (ACID) framework to address this challenge. ACID synergizes a deep reconstruction network trained on big data, kernel awareness from CS-inspired processing, and iterative refinement to minimize the data residual relative to real measurement. Our study demonstrates that the deep reconstruction using ACID is accurate and stable, and sheds light on the converging mechanism of the ACID iteration under a Bounded Relative Error Norm (BREN) condition. In particular, the study shows that ACID-based reconstruction is resilient against adversarial attacks, superior to classic sparsity-regularized reconstruction alone, and eliminates the three kinds of instabilities. We anticipate that this integrative data-driven approach will help promote development and translation of deep tomographic image reconstruction networks into clinical applications.

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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