A system and method are provided for fragmenting a crystalline lens, to facilitate its removal from the lens bag during an ophthalmic laser surgery. First, a predetermined pattern is used to make Laser Induced Optical Breakdown (LIOB) cuts that section the lens into asymmetrical, operational segments. At least one operational segment is then selected and softened with a plurality of compact LIOB cuts. Once softened, the selected segment is aspirated. The remaining operational segments are then subsequently removed. During a procedure, an imaging unit can monitor movements of the lens bag to ensure proper placement of the LIOB cuts on the lens.