Abstract: In an image-processing method and apparatus for displaying computer-modeled objects that are present in the form of a grid model and are simulated by a plurality of adjacent polygon surfaces, the individual polygon surfaces are divided into pixels and the image impression of each pixel is calculated, on the one hand, corresponding to Phong's illumination model and, on the other hand, by suitable addressing of storage matrices (8, 9) that represent the image impression of the environment, so both a natural-looking shading and the consideration of reflections of the environment in the objects are possible; the environment reflections can be modulated from perfect mirroring of the environment to a complete lack of mirroring.