A magnetic resonance imaging system comprises a receiver system to acquire magnetic resonance signals. A control system controls the receiver system to reform an acquisition sequence to acquire the magnetic resonance signals in several acquisition segments. Respective groups of acquisition segments involve acquisition of magnetic resonance signals in different RF-receiver frequency bands. In the respective groups of acquisition segments, magnetic resonance signals are acquired from different nuclei having different gyromagnetic ratios. According to the invention, reconstruction of different types of information carried by the respective nuclei is made possible. For example, imaging of the anatomy of a patient to be examined is performed on the basis of proton magnetic resonance imaging. Imaging of a targeted contrast agent is achieved on the basis of .sup.19F magnetic resonance imaging. Localisation of a invasive device, such as a catheter, is also performed on the basis of e.g. .sup.19F magnetic resonance imaging.