Robotic system and methods for robotic arthroplasty are provided. The robotic system includes a machining system and a guidance system. The guidance station tracks movement of one or more of various objects in the operating room, such as a surgical tool, a tibia of a patient, a talus of the patient, or a component of an implant. The guidance system tracks these objects for purposes of displaying their relative positions and orientations to the surgeon and, in some cases, for purposes of controlling movement of the surgical tool of the machining system relative to virtual cutting boundaries or other virtual objects associated with the tibia and talus to facilitate preparation of bone to receive an ankle implant system.
