Alignment precision technology, in which a system accesses image data of a bone to which a reference marker array is fixed. The system generates a three-dimensional representation of the bone and the reference markers, defines a coordinate system for the three-dimensional representation, and determines locations of the reference markers relative to the coordinate system. The system accesses intra-operative image data that includes the bone and a mobile marker array that is attached to an instrument used in a surgical procedure. The system co-registers the intra-operative image data with the three-dimensional representation by matching the reference markers included in the intra-operative image data to the locations of the reference markers. The system determines locations of the mobile markers in the co-registered image and determines a three-dimensional spatial position and orientation of the instrument relative to the bone.