We developed the computer-controlled figuring system having controllability of removal depths with nanometer accuracy and spatial resolutions close to 0.1mm. In this system, Elastic Emission Machining (EEM) using nozzle-type EEM head and Microstitching Interferometry (MSI) are employed as a machining method and a figure measurement method. In EEM, very small stationary spot profiles ware obtained, selecting small circle nozzle aperture of a 0.15 mm diameter. Surface figuring is performed with controlling scanning speeds of sample stages, so that a measured profile turned into designed one. MSI, which was developed on the basis of interferometric stitching technologies, has reproducibility at subnanometer level and with spatial resolution of 0.03 mm. In this study, we demonstrated computer controlled figuring, focusing on removal of high frequency figurer errors. Figure accuracy of 0.2 nm (RMS) was achieved in a cross-section profile with a length of 90mm.