Abstract: Methods and apparatus are described for automatically splitting carcass (10) of a slaughtered animal. The apparatus includes saw assembly (17) mounted on carriage (22) and ultrasonic scanner (30). Assembly (17) is moved by carriage (22) along support (16) so that saw blade (18) commences cutting at the base of the spine and progressively advances downwardly following the line of the spine. Scanner (30) scans carcass (10) and the data signals are processed to locate the spine and/or determine its conformation immediately ahead of the point where blade (18) is splitting carcass (10). The processed signals are used to control the degrees of movement of blade (18) including lateral movement, rolling movement, vertical movement, tilting movement and yawing movement. The apparatus can also follow a desired line of cut in other medical, veterinary or forensic applications, or for cutting manufactured products, artefacts or achaeological articles having an internal structure.