Title
Tomographic reconstruction with adaptive sparsifying transforms
Abstract
A central problem in computed tomography (CT) imaging is to obtain useful, high-quality images from low-dose measurements. Methods that exploit the sparse representations of tomographic images have long been known to improve the quality of reconstructions from low-dose data. Recent work has shown that sparse representations learned directly from the data can outperform traditional, fixed representations, but are prohibitively expensive for practical use in CT. We propose a new method for tomographic reconstruction from low-dose data by combining the statistically weighted data fidelity term with an adaptive sparsifying transform regularizer. This regularizer can be fit to the data at lower cost than competing methods. Our algorithm alternates between reconstructing the image and learning the sparsifying transform. The Alternating Direction Method of Multipliers technique is used to provide an efficient solution to the statistically weighted minimization problem. Numerical experiments on data from clinical CT reconstructions indicate that adaptive sparsifying transform regularization outperforms synthesis sparsity methods at speeds rivaling total-variation regularization.
Year
DOI
Venue
2014
10.1109/ICASSP.2014.6854940
Acoustics, Speech and Signal Processing
Keywords
Field
DocType
computerised tomography,image reconstruction,image representation,medical image processing,minimisation,transforms,CT imaging,adaptive sparsifying transform regularization,adaptive sparsifying transform regularizer,alternating direction method-of-multiplier technique,clinical CT reconstruction,computed tomography imaging,high-quality images,image reconstruction,low-dose measurement,reconstruction quality,statistically-weighted data fidelity term,statistically-weighted minimization problem,synthesis sparsity method,tomographic image sparse representation,tomographic reconstruction,total-variation regularization,CT dose reduction,Sparse representations,Sparsifying transform learning,iterative reconstruction
Minimization problem,Iterative reconstruction,Tomographic reconstruction,Mathematical optimization,Fidelity,Pattern recognition,Computer science,Tomography,Regularization (mathematics),Artificial intelligence,Computed tomography
Conference
ISSN
Citations 
PageRank 
1520-6149
13
0.65
References 
Authors
21
2
Name
Order
Citations
PageRank
Luke Pfister1372.78
Yoram Bresler21104119.17