Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Learning Optical Flow for Fast MRI Reconstruction   Reconstructing high-quality magnetic resonance images (MRI) from undersampled
raw data is of great interest from both technical and clinical point of views.
To this date, however, it is still a mathematically and computationally
challenging problem due to its severe ill-posedness, resulting from the highly
undersampled data leading to significantly missing information. Whilst a number
of techniques have been presented to improve image reconstruction, they only
account for spatio-temporal regularisation, which shows its limitations in
several relevant scenarios including dynamic data. In this work, we propose a
new mathematical model for the reconstruction of high-quality medical MRI from
few measurements. Our proposed approach combines - \textit{in a multi-task and
hybrid model} - the traditional compressed sensing formulation for the
reconstruction of dynamic MRI with motion compensation by learning an optical
flow approximation. More precisely, we propose to encode the dynamics in the
form of an optical flow model that is sparsely represented over a learned
dictionary. This has the advantage that ground truth data is not required in
the training of the optical flow term. Furthermore, we present an efficient
optimisation scheme to tackle the non-convex problem based on an alternating
splitting method. We demonstrate the potentials of our approach through an
extensive set of numerical results using different datasets and acceleration
factors. Our combined approach reaches and outperforms several state of the art
techniques. Finally, we show the ability of our technique to transfer phantom
based knowledge to real datasets.

12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ