Method and apparatus for roll surface machining

There is provided a roll surface machining method and apparatus for using a cutting tool to carry out ultra-precision machining in the surface of a roll with a reduced amount of data. The apparatus and method for roll surface machining includes setting a machining start position of a cutting tool with respect to the surface of the roll by C-axis indexing of the roll and positioning of the roll in the axial direction (Z-axis direction) both with respect to the cutting tool. Also the cutting tool and the roll are moved relative to each other in the axial direction of the roll by position control using C-Z axis interpolation, thereby forming a three-dimensional pattern in the surface of the roll.