In this talk, we look at inverse problems in MR image reconstruction and how to tackle them. We start off with the spatial frequency concept (k-space), which is pivotal for acquisition and reconstruction. We look at different ways of traversing k-space in 2D and 3D and their pros and cons for various applications. We review hardware limitations and ways to account for different k-space trajectories at the image reconstruction stage. We will also investigate the handling of static and dynamic magnetic field inhomogeneities in image reconstruction.