In a method and a reconstruction device for reconstructing an image from MR raw data acquired with multiple coils and entered at sample points on a grid in k-space, the sample points are arranged on data entry trajectories, respectively, along one-dimensional edges in an equidistant grid dimension characteristic for the respective edge. If raw data were acquired at all sample points, k-space would be sufficiently scanned, but the raw data are entered only on a portion of the sample points so that sufficient scanning exists only in an internal region of k-space, with undersampling existing in an external region of k-space. Reconstruction of the missing raw data is performed by reconstructing raw data for a specific coil for the non-sampled sample points in the internal region using the raw data acquired with that coil for other sample points in the internal region, without using raw data acquired with other coils, and for the non-sampled sample points in the external region, using the raw data acquired for the internal region, as well as reconstructed raw data, and using raw data acquired with different coils.
