1. A method for acquiring and processing a series of temporally successive image data sets, comprising the steps of: acquiring a series of temporally successive magnetic resonance image data sets using a magnetic resonance data acquisition system, with corresponding k-space image data also being acquired for each of said magnetic resonance image data sets; for each of respective magnetic resonance image data sets in a first portion of the magnetic resonance image data sets in said series, automatically electronically determining a measure that characterizes a global intensity value of the respective magnetic resonance image data set; and automatically electronically correcting respective magnetic resonance data sets in a second portion of the image data sets in said series using the respective measures to compensate for a temporal change of the respective global image intensity values for the magnetic resonance image data sets in said series, or using the respective measures to automatically electronically evaluate a third portion of the magnetic resonance image data sets in said series dependent on a temporal change of the respective global image intensity values for the magnetic resonance image data sets in said series.