Method for providing
control data for an ophthalmic surgical
laser (18) of a treatment device (10), wherein the method comprises the following steps performed by a control device (20): - Determining at least one cross-sectional area (14, 16) in a
cornea (26) of a human or animal eye (30), - Defining an incision path (17, 17') which extends from an outer surface of the
cornea (26) to at least one of the
cut surfaces (14, 16), wherein the incision path (17, 17') has at least two sections (17a, 17b, 17c) with different slope values between the outer surface and the respective
cut surface (14, 16), and wherein the incision path (17, 17') terminates at an obtuse angle in the respective
cut surface (14, 16), - Providing
control data for controlling the ophthalmic surgical
laser (18) which includes at least the defined incision path (17, 17'), wherein a
path profile with a minimum area is calculated in a cross-section along the
optical axis of the eye to define the incision path (17, 17').