Method for building a shaped body by layer-wise solidification of viscous, photopolymerizable building material by means of stereolithography, wherein a) building material is dispensed onto a planar, transparent bottom of a vat, b) the vat is moved relatively to a doctor blade in a direction parallel to the plane of the vat bottom, which doctor blade is suspended with adjustable positioning above the vat bottom, such that dispensed building material is moved underneath the doctor blade, to thereby form a smoothed layer having uniform layer thickness predetermined by the positioning of the doctor blade relative to the vat bottom, c) the smoothed layer is brought by relative movement of the vat to a region between an exposure unit located underneath the vat bottom and a building platform suspended above the vat adjustable in height, d) the building platform is lowered relative to the vat bottom in a controlled manner so that, while displacing building material, the remaining layer in the gap is formed into a predefined layer thickness, e) the layer is solidified in a spatially selective manner by controlled operation of the exposure unit within a contour desired for the current layer, f) whereafter the building platform is raised, building material is dispensed onto the vat bottom, and steps b) to f) are repeated until the shaped body is build up by a plurality of layers solidified on top of each other, characterized in that the positioning of the doctor blade with respect to the vat bottom is adjusted in such a manner that the resulting predetermined, uniform layer thickness is higher than the predefined layer thickness to be set by lowering the building platform, but does not exceed the predefined layer thickness by more than 50%, and the surface of the smoothed, thin layer is, in an intermediate step before lowering of the building platform and before spatially selective exposure, colored by applying in a spatially selective manner selected coloring agents, wherein the coloring agents for setting the color and translucence are selected in a manner adapted to the currently used building material: a) in case of photopolymers as building material: solutions including dye molecules and/or suspensions including pigments, b) in case of slurries including glass ceramics as building material: color pigments, in particular oxide, tin oxide or zirconium oxide, dispersed in an organic medium, c) in case of ZrO 2 slurries as building material: solutions of salts of nitrate, aqueous solutions or on the basis of another solvent, or acetyl acetonate dissolved in ethanol. a) building material is dispensed onto a planar, transparent bottom of a vat, b) the vat is moved relatively to a doctor blade in a direction parallel to the plane of the vat bottom, which doctor blade is suspended with adjustable positioning above the vat bottom, such that dispensed building material is moved underneath the doctor blade, to thereby form a smoothed layer having uniform layer thickness predetermined by the positioning of the doctor blade relative to the vat bottom, c) the smoothed layer is brought by relative movement of the vat to a region between an exposure unit located underneath the vat bottom and a building platform suspended above the vat adjustable in height, d) the building platform is lowered relative to the vat bottom in a controlled manner so that, while displacing building material, the remaining layer in the gap is formed into a predefined layer thickness, e) the layer is solidified in a spatially selective manner by controlled operation of the exposure unit within a contour desired for the current layer, f) whereafter the building platform is raised, building material is dispensed onto the vat bottom, and steps b) to f) are repeated until the shaped body is build up by a plurality of layers solidified on top of each other, a) in case of photopolymers as building material: solutions including dye molecules and/or suspensions including pigments, b) in case of slurries including glass ceramics as building material: color pigments, in particular oxide, tin oxide or zirconium oxide, dispersed in an organic medium, c) in case of ZrO 2 slurries as building material: solutions of salts of nitrate, aqueous solutions or on the basis of another solvent, or acetyl acetonate dissolved in ethanol.