A Frame Work for Non-Rigid Motion Corrected Compressed Sensing for Highly Accelerated MRI

Muhammad Usman¹, Christoph kolbitsch¹, Ghislain Vaillant¹, David Atkinson², Tobias Schaeffter¹, Philip G. Batchelor¹, Claudia Prieto¹, ³

Motion during MRI acquisition can cause inconsistencies in k-space, resulting in strong artefacts in the reconstructed images. Accelerated imaging using compressed sensing (CS) requires motion correction approaches not just to correct the motion related artefacts, but also to retain the sparsity level in the sparse representation, which is one of the requirements of CS reconstruction. Currently, only translational motion correction methods have been combined with CS. In this work, we propose a novel Motion Correction-Compressed Sensing (MC-CS )technique that can correct for any arbitrary non-rigid motion in CS undersample acquisitions. This approach was tested both in simulations and in-vivo data for 2D CINE MRI, and use to reconstruct respiratory motion-free cardiac cycle from free-breathing acquisitions.