The invention relates to a method for the construction of a shaped body from photopolymerizable material by using lithography-based generative production, in which a layer of liquid photopolymerizable material is defined on a production platform, and is polymerized in an exposure region having a predetermined contour, a further layer of photopolymerizable material is defined, the layer defined last is polymerized in an exposure region having a predetermined contour for the layer defined last, and the latter two steps are repeated until a shaped body having a predetermined shape has been formed by the sequence of cured layers with contours predetermined layer by layer, each exposure in an exposure region having a predetermined contour being carried out by controlled activation of individual exposure elements in a two-dimensional array of exposure elements, each exposure element being assigned an image element, wherein the exposure of the exposure region is carried out by a common light source and by a two-dimensional light intensity modulator which is illuminated by the light source and which has a grid of individually controllable intensity modulators, in such a way that each illuminated intensity modulator forms and exposure element that exposes an image element in the exposure region, wherein a two-dimensional matrix is compiled for each exposure step of a layer, each element of the matrix being assigned to an exposure element in the array of exposure elements and control instructions for this exposure element being obtained in the form of a time-dependent function which individually establishes the intensity profile of the radiation of the exposure element over the exposure step, characterized in that, if a component of the intensity variation common to all time-dependent function of the intensity profiles of all exposure elements to be activated exists as a general intensity variation in an exposure step, this general intensity variation is carried out by controlling the intensity of the light source in accordance with the general intensity variation.