The invention provides machines for removing strips of masking from glazing panes. Also provided are methods of removing strips of masking from glazing panes. One embodiment of a machine for removing strips of masking material from a glazing pane includes a cutting head and a processing station. The processing station can be constructed to retain the glazing pane in a processing position with a first surface of the glazing pane oriented toward the cutting head. The cutting head can be movable in various directions across the masked glazing pane and include cutters to cut strips from the masking material.