A system and method are disclosed for using a laser unit to treat a crystalline lens (or lens capsule) to compensate for any tilt angle “φ” there may be between a lens axis and an operational axis of the laser unit (i.e. “z” axis). To begin, a contiguous sequence of procedure paths that collectively define the boundary surface of a lens volume are identified, with each procedure path inclined by the tilt angle “φ”. A slice occurs in an x-y plane that is on the boundary surface of the volume of lens and includes portions of several procedure paths. The slices are projected into the x-y plane where they are sequenced for use as trace paths for the laser unit. The trace paths are used to guide a laser beam to perform LIOB along the slice for the different values of “z” to incise the boundary surface.