Designing K-Space Trajectories for Simultaneous Encoding with Linear and PatLoc Gradients

Daniel Gallichan¹, Gerrit Schultz¹, Jrgen Hennig¹, Maxim Zaitsev¹

Recent work has shown that MR imaging can be performed using non-linear encoding gradients (PatLoc). Here we investigate the possibilities of combining non-linear encoding gradients with simultaneous use of the conventional linear gradients. We introduce the concept of a 'local k-space' to compare trajectories, as well as presenting a combination of a split-radial 4D trajectory which is able to exploit the advantages of varying spatial resolution across the FoV whilst retaining control over the resolution in the centre.