A method of cutting tissue for use as an implantable medical device employs a laser cutting system. The laser cutting system is computer controlled and includes a laser combined with a motion system. The laser precisely cuts segments out of source tissue according to predetermined pattern as designated by the computer. The cutting energy of the laser is selected so that the cut edges of the tissue segments are fused, melted or welded to discourage delamination or fraying, but communication of thermal energy into the segment beyond the edge is minimized to avoid damaging the tissue adjacent the edge.