We present a new image reconstruction method that replaces the projector in a projected gradient descent (PGD) with a convolutional neural network (CNN). Recently, CNNs trained as image-to-image regressors have been successfully used to solve inverse problems in imaging. However, unlike existing iterative image reconstruction algorithms, these CNN-based approaches usually lack a feedback mechanism to enforce that the reconstructed image is consistent with the measurements. We propose a relaxed version of PGD wherein gradient descent enforces measurement consistency, while a CNN recursively projects the solution closer to the space of desired reconstruction images. We show that this algorithm is guaranteed to converge and, under certain conditions, converges to a local minimum of a non-convex inverse problem. Finally, we propose a simple scheme to train the CNN to act like a projector. Our experiments on sparse-view computed-tomography reconstruction show an improvement over total variation-based regularization, dictionary learning, and a state-of-the-art deep learning-based direct reconstruction technique.
CNN-Based Projected Gradient Descent for Consistent CT Image Reconstruction
Harshit Gupta,Kyong Hwan Jin,H. Nguyen,Michael T. McCann,M. Unser
Published 2017 in IEEE Transactions on Medical Imaging
ABSTRACT
PUBLICATION RECORD
- Publication year
2017
- Venue
IEEE Transactions on Medical Imaging
- Publication date
2017-09-06
- Fields of study
Medicine, Computer Science, Engineering, Mathematics
- Identifiers
- External record
- Source metadata
Semantic Scholar, PubMed
CITATION MAP
EXTRACTION MAP
CLAIMS
- No claims are published for this paper.
CONCEPTS
- No concepts are published for this paper.
REFERENCES
Showing 1-59 of 59 references · Page 1 of 1