I. Introduction
During the surgical operation for the spinal injury or fractures, the surgeons have experienced the technical difficulties to locate the surgical tools precisely [1]. It is caused by the unstable human handling and the long time operation fatigue. on the other hand, this operation demands high safety and accurate positioning because the spinal area is distributed with major blood vessels and nerves. In order to help surgeons improve tool insertion accuracy in spinal surgery, it is of importance to take advantage of the emerging techniques such as positioning, navigation and robotics [2], [3]. The Robotics Assisted Surgical System (RASS) is a promising technique for the spinal surgery. In most procedures of the spinal surgery, there are many delicate operations involving inserting the tools accurately and precisely in a confined workspace. Although there are several positioning techniques, the optical tracking technique is a suitable choice to provide continuous and real-time position and orientation in the RASS. Additionally, the optical tracking system can also be applied to the rehabilitation robotic system to obtain the accurate motion information of stroke patient [4], [5]. Spine surgical robot system