With the demand of improving the form accuracy of free-form surface by computer-controlled polishing, a theoretical investigation is presented on the material removal for the velocity-dwell-mode polishing process. Especially, the material removal profile as the sub-aperture tool polishes at the path corner is modeled. The material removal profile perpendicular to the polishing path can be calculated by integrating the wear index, the polished depth at unit length of polishing path, along the tool path in th...