A method for generating an image 
data set of an 
image area located in a measurement volume of a magnetic 
resonance system comprising a 
gradient system and an 
RF transmission / reception 
system, comprises the following method steps: —reading out k-space corresponding to the imaging area, by: (a) activating a 
frequency encoding gradient in a predetermined 
spatial direction and with a predetermined strength G0 by means of said 
gradient system, (b) after the activated 
frequency encoding gradient achieves its strength G0, radiating a non-slice-selective 
RF excitation pulse by means of said 
RF transmission / reception 
system, (c) after a transmit-receive switch time ΔtTR following the radiated 
excitation pulse, acquiring FID signals with said 
RF transmission / reception system and storing said FID signals as 
raw data points in k-space along a radial k-space trajectory that is predetermined by the direction and strength G0 of the 
frequency encoding gradient, (d) repeating (a) through (c) with respectively different frequency encoding gradient directions in each repetition until k-space corresponding to the 
image area is read out in an outer region of k-space along radial k-space trajectories, said radial k-space trajectories each having a radially innermost limit kgap which depends on said switch time ΔtTR, (e) reading out a remainder of k-space that corresponds to the imaging area, said remainder being an inner region of k-space not being filled by said first region and including at least a center of k-space, in a read out procedure that is different from (a) through (d), and storing all data points read out in (d) and (e); and —reconstructing image data from the read out data points ink-space by implementing a 
reconstruction algorithm; In order to constrain image fidelity and optimize scan duration under given circumstances, the inner k-space region is subdivided into a core region and at least one radially adjacent shell region.