Mathematical analysis

Programming language

Operating system

Iterative reconstruction

Data acquisition

Computer science

Data set

Inverse problem

Pattern recognition (psychology)

Mathematics

Spiral (railway)

Compressed sensing

Sampling (signal processing)

Ground truth

Computer vision

Filter (signal processing)

Artificial intelligence

Set (abstract data type)

IEEE Transactions on Medical Imaging

The discovery of the theory of compressed sensing brought the realisation that many inverse problems can be solved even when measurements are “incomplete”. This is particularly interesting in magnetic resonance imaging (MRI), where long acquisition times can limit its use. In this work, we consider the problem of learning a sparse sampling pattern that can be used to optimally balance acquisition time versus quality of the reconstructed image. We use a supervised learning approach, making the assumption that our training data is representative enough of new data acquisitions. We demonstrate that this is indeed the case, even if the training data consists of just 7 training pairs of measurements and ground-truth images; with a training set of brain images of size 192 by 192, for instance, one of the learned patterns samples only 35% of k-space, however results in reconstructions with mean SSIM 0.914 on a test set of similar images. The proposed framework is general enough to learn arbitrary sampling patterns, ...

Learning the Sampling Pattern for MRI