1. A medical imaging system, comprising: a memory which stores magnetic resonance k-space data, the magnetic resonance data including non-rigid motion defects; one or more processors configured to: reconstruct a first image from the magnetic resonance data which includes a high signal to noise ratio and motion artifacts; detect and reject portions of k-space which include non-rigid motion defects; and reconstruct a second image from non-rejected portions of k-space and the first image.