1. A system for fabricating a dental restoration to restore a plurality of teeth in a dentition of a patient, wherein the dentition includes a restoration dental arch and an opposing dental arch, the restoration dental arch including a restoration site and the opposing dental arch being opposite the restoration dental arch, comprising: an impression apparatus configured to capture an impression of the dentition of the patient, the portion of the dentition including the restoration site; a motion capture apparatus configured to capture a plurality of location data points, the location data points representing the locations of the opposing dental arch relative to the restoration dental arch as the dentition moves between a plurality of bite positions; an interference model generation system configured to generate an interference model for the restoration site, wherein the interference model includes an interference surface, the interference surface corresponding to the locations of a portion of the opposing dental arch in at least a portion of the plurality of the locations represented by the plurality of location data points; and a restoration design system for designing a restoration using the interference model.