Stabilizing Deep Tomographic Reconstruction Networks

While the field of deep tomographic reconstruction has been advancing rapidly since 2016, there are constant debates and major challenges with the recently published PNAS paper on instabilities of deep learning in image reconstruction as a primary example, in which three kinds of unstable phenomena are demonstrated: (1) tiny perturbation on input generating strong output artifacts, (2) small structural features going undetected, and (3) increased input data leading to decreased performance. In this article, we show that key algorithmic ingredients of analytic inversion, compressed sensing, iterative reconstruction, and deep learning can be synergized to stabilize deep neural networks for optimal tomographic image reconstruction. With the same or similar datasets used in the PNAS paper and relative to the same state of the art compressed sensing algorithm, our proposed analytic, compressed, iterative deep (ACID) network produces superior imaging performance that are both accurate and robust with respect to noise, under adversarial attack, and as the number of input data is increased. We believe that deep tomographic reconstruction networks can be designed to produce accurate and robust results, improve clinical and other important applications, and eventually dominate the tomographic imaging field.