The invention relates to a method and a device for representing a two-dimensional digital image on a projection surface, whereby at least one projector projects the content of an image buffer onto the projection surface. The aim of the invention is to provide a method and a device which allow to project a digital image onto a background having any surface structure and/or color in such a manner that any influences on the image caused by the background are compensated to the last pixel for at least one special observer perspective. In a special embodiment, definition of the representation is optimized to the last pixel even on an uneven background. For this purpose, the digital image is processed during a rendering step by geometrically distorting it using a two-dimensional pixel-offset field which contains information on the projection surface, and by manipulating the color of the image by means of a two-dimensional surface texture of the projection surface. A least a part of the processed image is rendered in an image buffer and a rectangle is written into the image buffer for initiating the rendering step, thereby compensating scattered light influences. The invention especially relates to a system comprising a plurality of projectors. Definition of representation can be optimized to the last pixel by means of definition values and representation is furthermore possible subject to the observer's position.