A system and method for altering the shape of a lamina of transparent material (e.g. the cornea of an eye), as it is being subjected to a transverse pressure differential, requires a computer controlled laser unit. In accordance with specified input parameters, the computer directs the laser unit to perform LIOB over predetermined surfaces within the lamina. This weakens the material for a desired reshaping of the lamina in response to the pressure differential. With respect to a perpendicular axis that is defined by the lamina, surfaces parallel to the axis (e.g. cylindrical surfaces) are separated from each other by about two hundred microns. For surfaces perpendicular to the axis, the separation is about ten microns. In each instance, the cuts that result from LIOB are only about two microns thick.