In a method and magnetic resonance apparatus for acquisition and processing of a series of temporally successive image data sets of the series of temporally successive image data sets is acquired by magnetic resonance technology, wherein k-space image data corresponding to each image data set are acquired, and for each image data set in the series, a determination is made, in at least one first part of that image data set, of a measure that characterizes a global image intensity value of that image data set. At least one second part of the image data sets is corrected using the determined measures and/or the determined measures are used in an evaluation of at least one third part of the image data sets. A temporal change of the global image intensity value in the series of temporally successive image data sets is compensated or taken into account in this manner.