Disclosed is an ophthalmological treatment apparatus for modifying a shape of a corneal surface of a human eye. The apparatus includes a surgical laser device for implementing tissue cuts. The apparatus further includes a computerized control device in operative coupling with the surgical laser device, the control device being designed to control the laser device to implement tissue cuts according to a cut geometry with a primary tissue cut and a secondary tissue cut, wherein the primary tissue cut is a relief cut and extends into the depth of the corneal eye tissue, and wherein the secondary tissue cut lies within the corneal eye tissue, such that the secondary tissue cut adds to the relieving effect of the primary tissue cut.
