The invention relates to a method for constructing a shaped body (10) from photopolymerizable material by means of lithography-based additive manufacturing, wherein, on a construction platform, successive layers are cured by light exposure so as to have a specified contour until a shaped body (10) having a specified shape is formed by the sequence of cured layers, wherein each light exposure is performed by the controlled activation of individual light exposure elements from a two-dimensional field of light exposure elements, wherein an image element is associated with each light exposure element, wherein the light exposure of the light exposure region is performed by means of a common light source and a two-dimensional light intensity modulator, which is illuminated by the light source and which has a grid of individually controllable intensity modulators, such that each illuminated intensity modulator forms a light exposure element, which exposes an image element in the light exposure region to light, wherein a two-dimensional matrix is created for each light exposure step, wherein each element of the matrix is associated with a light exposure element from the field of the light exposure elements and contains control commands for said light exposure element in the form of a time-dependent function, which individually defines the intensity curve of the radiation of the light exposure element versus the light exposure step, wherein insofar as a portion of the intensity variation common to all time-dependent functions of the intensity curves of the light exposure elements to be activated is present as a general intensity variation in a light exposure step, said general intensity variation is caused by controlling the intensity of the light source in accordance with the general intensity variation.