Acquisition, reconstruction and uncertainty quantification of 3D non-rigid motion fields directly from k-space data at 100 Hz frame rate

We introduce a method based on Gaussian Processes to rapidly acquire and reconstruct non-rigid motion fields of the human body directly from few points in k-space. Overall, the acquisition and processing time is less than 10 milliseconds for 3D applications leading to 100 Hz frame rate. Uncertainty quantification is also provided, making the method suitable for clinical real-time applications such as MR-guided radiation therapy.