A robotic system includes a base, a grounding arm, a working arm, and one or more sensors. The grounding arm extends from the base and is configured to be coupled to a fixed structure within the mouth of the patient for establishing an origin for the robotic system. The working arm extends from the base and is configured to be coupled with one or more tools for use during an installation of a dental implant in the mouth. The one or more sensors are for monitoring positions of the grounding arm and/or the working arm and to generate positional data that is used to create a post-operative virtual three-dimensional model of at least a portion of the mouth of the patient.