Apparatus for producing an object by means of additive manufacturing, said apparatus comprising: - a process chamber for receiving a bath of powdered material which can be solidified by exposure to electromagnetic radiation; - a support for positioning said object in relation to a surface level of said bath of powdered material; - a solidifying device arranged for emitting a beam of electromagnetic radiation on said surface level for solidifying a selective part of a layer of said powdered material; and - a control device arranged for controlling an energy density of said electromagnetic radiation, during solidification of said selective part of said layer of said powdered material, taking into account a position of said beam of electromagnetic radiation at said surface level. Method for producing an object by means of additive manufacturing.