Abstract: A method for additively manufacturing a workpiece having lateral workpiece dimensions includes obtaining a first data set defining the workpiece in layers arranged on top of the other. The method includes providing a manufacturing platform having lateral platform dimensions that are greater than the lateral workpiece dimensions. The method includes providing a structuring tool movable relative to the manufacturing platform. The method includes selecting an individual manufacturing region on the manufacturing platform. The method includes obtaining a second data set that represents individual layer deformations that are dependent on the selected manufacturing region. The method includes producing a defined material layer of the workpiece in the manufacturing region by controlling the structuring tool using the first and second data sets. The method includes repeating the producing in order to produce further defined material layers one on top of the other using the first data set and the second data set.