Abstract: A material shaping machine has a frame, a work-piece holder and a tool holder, for rotatably holding a tool. A computer performs real-time tool path calculations based upon stored mathematical representations of a desired work-piece surface and stored mathematical representations of an actual tool geometry, by calculating a desired position of a tool cutting edge relative a measured position of the tool cutting edge and a measured position of the work-piece, and adjusting a distance between the desired tool cutting edge and the measured position of the tool cutting edge in a first direction, so that the tool cutting edge reaches the desired position. Manipulation means provide a relative movement of the work-piece and the tool cutting surface in a second direction and a third direction. The manipulation means are operated outside the computer control. Sensors determine the position of the work-piece relative the cutting surface of the tool and send the position data to the computer.

Abstract: A material shaping machine has a frame, a work-piece holder and a tool holder, for rotatably holding a tool. A computer performs real-time tool path calculations based upon stored mathematical representations of a desired work-piece surface and stored mathematical representations of an actual tool geometry, by calculating a desired position of a tool cutting edge relative a measured position of the tool cutting edge and a measured position of the work-piece, and adjusting a distance between the desired tool cutting edge and the measured position of the tool cutting edge in a first direction, so that the tool cutting edge reaches the desired position. Manipulation means provide a relative movement of the work-piece and the tool cutting surface in a second direction and a third direction. The manipulation means are operated outside the computer control. Sensors determine the position of the work-piece relative the cutting surface of the tool and send the position data to the computer.