Abstract: The objective of the invention is a bi-level method for modeling geometric tolerances compatible with the ANSI/ASME tolerance standard. At the local level, the model represents each tolerance-zone for a plane or an axis (line) as a tolerance map, and it includes the computational techniques that relate interdependencies between these regions and subregions within them. The model includes formulations for variations in size, form, orientation, position, and runout, and combinations of these, because all of these variations can be modeled using points, lines, and planes. Since variations in simple profiles that are formed from lines and circular arcs also can be described by such combinations, they too are includable in the formulation. The primary method is to overlay the geometry of tolerance-zones onto some traditional modes for representing planes, lines, and points. At the global level, the model inter-relates all frames of reference on a part or an assembly.

Abstract: A navigation system and method for identifying a position or navigating an autonomous robotic platform within an area is provided including a moveable device having an acoustic transmitter for transmitting an acoustic signal, an electronic processor device and an RF receiver; and three or more beacons positioned proximate the area, each beacon including a signal receiving apparatus responsive to the acoustic signal and an RF transmitter, the acoustic signal and the RF signal received from each of the beacons being processed in the electronic processor device to identify the location of the platform within the area.