In a method and apparatus to determine a magnetic resonance image from magnetic resonance data entered into k-space that are acquired with the magnetic resonance apparatus, in the acquisition of the data a deviation from ideal homogeneity, described by an interference field, is present in the imaging region that is covered by the magnetic resonance data. To reduce image artifacts generated by this interference field, the transformation of the magnetic resonance data from k-space into the image domain, at least along a readout direction of a readout gradient used in the acquisition, takes place by multiplication of the data with the inverse of a transformation matrix that is calculated depending on the interference field.