A method of and apparatus for slicing a three-dimensional object representation into a plurality of layer representations is described, wherein the layer representations are subsequently used to form the object layer-by-layer according to the principles of stereolithography. If not already provided in the object representation, a plurality of layer boundary representations are first formed, and then the boolean difference of successive layer boundary representations are computed to derive boundaries of up and down-facing regions, enabling different cure parameters to be specified for these different regions.