A computer-implemented method of determining layer thicknesses (t) of a three-dimensional dental model for generation of a corresponding three-dimensional dental object such as a drilling template with an additive manufacturing apparatus, the method comprising: a step of determining the layer thicknesses (t) according to an adaptive slicing algorithm in which the thickness of a layer is calculated through a relation based on the inclination of the normal vectors (n) of the surface elements (s) of the 3D dental model which at least partly enclose the layer from a horizontal direction (x;y), the method further comprising: a step of selectively imposing on at least one surface element (s) of the 3D dental model a precision requirement out of at least two selectable different precision requirements which respectively differently alter in the determination step the relation with respect to the inclination of the normal vector (n) of the said at least one surface element (s), wherein the at least two selectable different precision requirements comprise at least a high precision requirement which allows, through the altered relation, the layer thickness (t) to obtain a value equal to or smaller than the layer thickness (t) determined through the unaltered relation; and a low precision requirement which allows, through the altered relation, the layer thickness (t) to obtain a value equal to or larger than the layer thickness (t) determined through the unaltered relation. a step of determining the layer thicknesses (t) according to an adaptive slicing algorithm in which the thickness of a layer is calculated through a relation based on the inclination of the normal vectors (n) of the surface elements (s) of the 3D dental model which at least partly enclose the layer from a horizontal direction (x;y), the method further comprising: a step of selectively imposing on at least one surface element (s) of the 3D dental model a precision requirement out of at least two selectable different precision requirements which respectively differently alter in the determination step the relation with respect to the inclination of the normal vector (n) of the said at least one surface element (s), wherein the at least two selectable different precision requirements comprise at least a high precision requirement which allows, through the altered relation, the layer thickness (t) to obtain a value equal to or smaller than the layer thickness (t) determined through the unaltered relation; and a low precision requirement which allows, through the altered relation, the layer thickness (t) to obtain a value equal to or larger than the layer thickness (t) determined through the unaltered relation. a step of selectively imposing on at least one surface element (s) of the 3D dental model a precision requirement out of at least two selectable different precision requirements which respectively differently alter in the determination step the relation with respect to the inclination of the normal vector (n) of the said at least one surface element (s), wherein the at least two selectable different precision requirements comprise at least a high precision requirement which allows, through the altered relation, the layer thickness (t) to obtain a value equal to or smaller than the layer thickness (t) determined through the unaltered relation; and a low precision requirement which allows, through the altered relation, the layer thickness (t) to obtain a value equal to or larger than the layer thickness (t) determined through the unaltered relation.