MACHINE FOR FINISHING A WORK PIECE, AND HAVING A HIGHLY CONTROLLABLE TREATMENT TOOL

A machine featuring a treatment tool that grinds a surface to a desired profile, imparts a desired roughness to that surface, and removes contamination from the surface, the machine configured to control multiple independent input variables simultaneously, the controllable variables selected from the group consisting of (i) velocity, (ii) rotation, and (iii) dither of the treatment tool, and (iv) pressure of the treatment tool against the surface. The machine can move the treatment tool with six degrees of freedom.