Graphics cards normally control the image display of data processing systems.A graphics processing apparatus 1 is proposed which comprises a control device 2 for accepting graphical data relating to first graphic objects from a first application App_1 and for accepting graphical data relating to second graphic objects from a second application App_2; a geometry module 5 for generating the geometry data of the graphic objects from the graphical data; a raster module 7 for rasterizing the graphic objects on the basis of the geometry data and for generating pixels of the graphic objects; the control device 2, the geometry module 5 and the raster module 7 forming a graphics pipeline which is designed to process one of the graphic objects in a serial pass through by generating pixels of the graphic object from the graphical data relating to the graphic object, wherein the graphics pipeline is designed to interrupt the processing of one of the first graphic objects of the first application App_1 in a first serial pass through so that a partially processed graphic object is present, to process at least one of the second graphic objects of the second application App_2 in a second serial pass through, and subsequently to continue the processing of the partially processed graphic object of the first application App_1.