An industrial shaping system to form various articles including eyeglass lenses. The invention specifically discloses an eyeglass frame pattern generator and edge grinder for shaping eyeglass lenses to fit a particular frame. A sensing wheel makes contact with the internal frame groove which is designed to hold the lens. The frame pattern generator controls an edge cutter by means of a servo system to shape the lens so that it will fit into the frame groove after the grinding operation. A computing device in the frame pattern generator is arranged to correct for the inherent errors generally present in all contour devices employing a tracing mechanism and a grinding cutter where grinding is done along the circumference of the grinding wheel.