Date of Award

August 2019

Degree Type


Degree Name

Doctor of Philosophy



First Advisor

Jun Zhang

Committee Members

Chiu Tai Law, Mahsa Ranji, Tian Zhao, Ping Xue


CT reconstruction, Deep learning, RNN, Single image super-resolution


Solving an ill-posed inverse problem is difficult because it doesn't have a unique solution. In practice, for some important inverse problems, the conventional methods, e.g. ordinary least squares and iterative methods, cannot provide a good estimate. For example, for single image super-resolution and CT reconstruction, the results of these conventional methods cannot satisfy the requirements of these applications. While having more computational resources and high-quality data, researchers try to use machine-learning-based methods, especially deep learning to solve these ill-posed problems. In this dissertation, a model augmented recursive neural network is proposed as a general inverse problem method to solve these difficult problems. In the dissertation, experiments show the satisfactory performance of the proposed method for single image super-resolution, CT reconstruction, and metal artifact reduction.