A ceramic material, such as sapphire, is irradiated using a laser-based process to form a cut. In some implementations, a region of the ceramic material adjacent to the cut may be heated. The region may be removed to form an edge feature. In various implementations, the region of the ceramic material adjacent to the cut may be shielded from an outer portion of a laser beam used in the laser-based process using a shield, such as a polyethylene film. This removal and/or shielding operations may improve the mechanical strength of the ceramic material.