Systems and methods for minimally invasive procedures include a computer-assisted system comprising a manipulator assembly configured to couple to a cannula and a controller coupled to the manipulator assembly. The cannula has a lumen configured to receive a shaft of an instrument. The controller is configured to position a remote center of motion for the manipulator assembly at a first location relative to the cannula, and in response to an indication to reposition the remote center of motion relative to the cannula, reposition the remote center of motion to a second location relative to the cannula while constraining the second location to be located along the cannula. The second location is different from the first location.