In a dimple processing method for forming dimples on a curved surface of a workpiece, a cutting tool having a cutting edge on a rod-shaped body is rotated about a central axis of the cutting tool. The workpiece is rotated about a first axis. The cutting tool or the workpiece moves on a virtual plane through which the first axis passes or on a plane parallel to the virtual plane. The cutting tool or the workpiece moves such that the tip end of the cutting tool follows the curved surface of the workpiece. The cutting edge forms one or more dimple on the curved surface each time the cutting tool rotates.

The spherical cutting tool and method of using the same are centered in the novel integration of a sphere cutter, with a roller burnisher tool, which may be adjustable, and may further be contained in a system comprising several additional components such as an indexer and a lathe, mill, or custom machine. The tool of the invention may further comprise a drill, end mill, reamer, or other similar cutting tool on one end, with the sphere cutter and roller burnisher. The method of the invention is comprised of steps for using the tool and system of the invention in a novel way, including steps for manipulating and actuating the novel spherical cutting tool to engage the inner or outer surface(s) of a workpiece, using multiple cutting operations on a fixed or movable indexer, or machining using the tool, system, and methods of the invention. The system of the invention utilizes at least two machine drive units, such as a lathes or other rotary machines, in conjunctions with an indexer, to be configured as a system for pre-drilling, drilling, reaming, and cutting. The system may be configured as a system for spherical cutting and hole finishing using the tool of the invention.

A mirror milling device for machining an arched annular thin-walled workpiece includes an external vertical gantry milling head assembly, an internal support and measurement head assembly, a clamping fixture, and a worktable. The machining method thereof includes: dividing a parallel curve of a theoretical surface and a parallel curve of a reverse surface, performing triangular meshing on a division point of the theoretical surface, using indexes of three points as indexes of a triangle, calculating area coordinates, in triangular meshes, of position points on a machining path, causing points with corresponding indexes on the reverse surface to form a triangle, reversely solving coordinate points by using the area coordinates, and compensating a machining path on a spherical surface from a designed curved surface to an actual curved surface obtained by means of reversing.