The invention relates to the technical field of optical
machining, in particular to a
magneto-rheological
polishing polyhedral common body element integrated
machining method which comprises the steps that S1, a known actual
grating type track is decomposed into row coordinates according to longitudinal coordinate abrupt
change points; s2, splitting each line of track into a first track segment of the main body mirror, a second track segment of the auxiliary body mirror and a second track segment of the main body mirror according to the
diameter of a
transition point circle; s3, determining the extension length of a
transition point according to the length of the removal function of the magnetorheological equipment; s4 to S5 respectively extending the main body mirror, and inserting new points from the body mirror track segments; s6, calculating the
z coordinate of each fragment by using a corresponding
surface equation to obtain a three-dimensional coordinate; s7, splicing to generate a single-row ordered
point sequence; and S8, combining all line tracks and rotating by an angle of-theta to obtain a final track. By means of the scheme, the problems that the multi-face common-body element is long in redundant time and low in efficiency in segmented
machining, the edge reserving range of the transition area of the optical element is too large, the effective aperture is reduced, and the
imaging quality of an optical
system is affected due to the fact that joints of the transition area are not precisely machined are solved.