The limited angle Radon transform is notoriously difficult to invert due to the ill-posedness. In this work, we give a mathematical explanation that the data-driven approach based on deep neural networks can reconstruct more information in a stable way compared to traditional methods.
翻译:有限角度Radon变换因其不适定性而难以求逆是公认的难题。本文从数学角度解释了基于深度神经网络的数据驱动方法相比传统方法能够以更稳定的方式重建更多信息。