A system and method of registration includes detecting a first motion of a table that causes motion of a computer-assisted device, determining a first angular direction of the first motion in a table coordinate frame, determining a second angular direction of the motion of the computer-assisted device in a computer-assisted device coordinate frame, determining a first angular relationship between the table and the computer-assisted device based on the first and second angular directions, and aggregating the first angular relationship in a composite angular relationship. The second angular direction includes a direction of a second motion of a first articulated arm of the computer-assisted device or an aggregation of a plurality of angular directions, wherein, for each angular direction of the plurality of angular directions, that angular direction is of a respective third motion, of a respective articulated arm of a plurality of articulated arms of the computer-assisted device.
