| CPC A61F 9/00827 (2013.01) [A61F 9/00804 (2013.01); A61D 1/00 (2013.01); A61F 2009/00872 (2013.01); A61F 2009/00882 (2013.01)] | 16 Claims |

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1. A method for controlling an eye surgical laser for removing a volume body from a human or animal cornea of an eye with an anterior actual interface of the cornea and a posterior actual interface of the cornea by means of a treatment apparatus, comprising the steps of:
presetting the posterior actual interface depending on at least one preset parameter of the cornea by means of a control device of the treatment apparatus;
determining a first imaging point of the cornea by means of the control device;
generating a mathematical model of an anterior target interface based on the posterior actual interface and the following equations:
![]() wherein xa is an x-coordinate of an input surface, xb is an x-coordinate of an outgoing surface, ya is a y-coordinate of the input surface, yb is a y-coordinate of the outgoing surface, za is a direction of incoming waves on the input surface, zb is a direction of outgoing waves on the outgoing surface, n is a refractive index of the cornea, fa is a focal length in front of the eye, fb is a focal length of the first imaging point, T is a depth of the cornea, L corresponds to a length of a path of a light beam within the cornea, and D is a 3-dimensional distance between a retina and a posterior corneal surface,
wherein the mathematical model is a generated mathematical model of an incoming wavefront on the anterior target interface, the anterior target interface corresponds to a specified outgoing wavefront, which in turn is focused on the first imaging point based on the posterior actual interface and the generated mathematical model of the anterior target interface;
determining a shape of the volume body to be generated based on a difference between the anterior actual interface to the anterior target interface;
generating control data for generating the volume body such that the anterior actual interface corresponds to the generated mathematical model of the anterior target interface after removing the volume body from the cornea; and
controlling the eye surgical laser to remove the volume body based on the control data.
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