A system for tracking at least one bone in robotized computer-assisted surgery, comprises a processing unit and a non-transitory computer-readable memory communicatively coupled to the processing unit and comprising computer-readable program instructions executable by the processing unit for: obtaining backscatter images of the at least one bone from a tracking device in a coordinate system; generating a three-dimensional geometry of a surface of the at least one bone from the backscatter images, the three-dimensional geometry of the surface being in the coordinate system; determining a position and orientation of the at least one bone in the coordinate system by matching the three-dimensional geometry of the surface of the at least one bone to a three-dimensional model of the bone; controlling an automated robotized variation of at least one of a position and orientation of the tracking device as a function of a processing of the backscatter images; and continuously outputting the position and orientation of the at least one bone in the coordinate system to a robot driver controlling a robot arm supporting a surgical tool in the coordinate system for altering the bone.