Systems and methods for treating a tissue of an eye with a laser beam include at least one processor that determines angles between a curved surface and a laser beam, controlling an ablative treatment in response to the angles. Angles between a surface of a cornea and a laser beam may be mapped over a treatment area. A mapped area may include an apex of a cornea displaced from a center of a pupil of an eye. Ablation properties may be determined locally in response to the incident angle of a laser beam with respect to a local slope of a tissue surface. The treatment area may be ablated using local ablation properties to form a desired surface shape.

 
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