Systems and methods of incising a portion of a material include creating a sub-surface separation in a region of the material, and incising a periphery of the region with a pulsed laser beam to produce an edge of the portion. The edge includes a periodically varying shape to secure the portion to the material when the portion is reintegrated. The system includes a laser producing the pulsed laser beam, a scanner operable in response to a control signal, and a controller coupled to the scanner. The controller produces the control signal. In response to the control signal, the scanner creates a sub-surface separation in the region with the pulsed laser beam and incises the periphery of the region with the pulsed laser beam to produce the edge with the periodically varying shape.