The step being performed in a state where a wheel body is fixed to be prevented from rotating around a rotation axis while a cutting edge of a cutting tool is in contact with the three-dimensional shape surface of the design surface in the wheel body, the cutting tool being three-dimensionally and continuously moved relatively along the three-dimensional shape surface while being changed in direction with respect to the three-dimensional shape surface to allow a rake face of the cutting tool to face a tool travel direction to perform three-dimensional continuous cutting processing that allows a specular glossy surface to be automatically formed in the three-dimensional shape surface, the specular glossy surface being finished into a processed surface having a high metallic gloss property by exposing the base metal.

The step being performed in a state where a wheel body is fixed to be prevented from rotating around a rotation axis while a cutting edge of a cutting tool is in contact with the three-dimensional shape surface of the design surface in the wheel body, the cutting tool being three-dimensionally and continuously moved relatively along the three-dimensional shape surface while being changed in direction with respect to the three-dimensional shape surface to allow a rake face of the cutting tool to face a tool travel direction to perform three-dimensional continuous cutting processing that allows a specular glossy surface to be automatically formed in the three-dimensional shape surface, the specular glossy surface being finished into a processed surface having a high metallic gloss property by exposing the base metal.

A method for machining a metallic member to provide a finished appearance uses a lathe and a scraping process. A metallic member comprising a top portion and a peripheral sidewall is provided, the metallic member is positioned on the worktable. The worktable is rotated with the metallic member, the lathe tool moved backwards and forwards to machine the top portion of the rotary metallic member circumferentially. The lathe tool is moved by the moving device along a predetermined path relative to the worktable to machine curved surfaces of the top portion of the metallic member. The scraping cutter is moved to contact the peripheral sidewall of the metallic member. The scraping cutter is moved along a predetermined path, and the scraping cutter is fed the metallic member to achieve the required shape and finish.