1. A method for localization light-microscopy imaging of a sample structure, wherein said light microscopy imaging has a resolution limit; said method comprising: preparing the sample structure with markers that are transferrable into a state imageable by light microscopy, generating a sequence of individual-image raw-data image sets by sequential imaging of the sample structure in such a way that for each image, only a subset of the totality of the markers is in each case transferred into the state imageable by light microscopy, the markers of the respective subset having an average spacing from one another which is greater than the resolution limit of light-microscopy imaging which determines the extent of a light distribution representing one of the respectively imaged markers, generating at least two data blocks in which multiple successive individual-image raw-data sets are respectively combined, superposing for each data block the individual-image raw-data sets contained in the respective data block to yield a corresponding superposed-image data set, identifying a drift-based image offset between the superposed-image data sets of the at least two data blocks, wherein identification of the drift-based image offset is based on the imaged sample structure itself, correcting the individual-image data sets that are contained in at least one of the superposed-image data sets of one of the data blocks on the basis of the identified image offset, determining center point positions of the corrected individual-image data sets of the light distributions representing the imaged markers, and assembling the center point positions into an offset-corrected overall localization microscopy image, wherein the step of determining center point positions is performed after the step of correcting the individual-image data sets, wherein the individual-image raw-data sets contained in the at least one superposed-image data set first are corrected based on the identified image offset, and the center point positions of the light distributions representing the imaged markers then are determined.