Embodiments of the present invention set forth a method to update an operation pathway for a robotic arm assembly in response to a movement of a patient. The method includes processing a two-dimensional image associated with a tag having a spatial relationship with the patient. A corresponding movement of the tag in response to the movement of the patient is determined based on the spatial relationship. The tag includes a first point and a second point and the two-dimensional image includes a first point image and a second point image. The method also includes associating the first point image with the first point and the second point image with the second point and updating the operation pathway based on a conversion matrix of the first point and the second point, and the first point image and the second point image.