A method for figuring an optical surface of an optical element to achieve a target profile for the optical surface includes: applying a removal process to an extended region of the optical surface extending along a first direction to remove material from the extended region of the optical surface; adjusting a position of the optical surface relative to the removal process along a second direction perpendicular to the first direction to remove material from additional extended regions of the optical surface extending along the first direction at each of different positions of the optical surface along the second direction; and repeating the applying of the removal process and the adjusting of the optical surface relative to the removal process for each of multiple rotational orientations of the optical surface about a third direction perpendicular to the first and second directions to achieve the target profile of the optical surface.