A processor calculates an estimated position of each of the plurality of magnets in a three dimensional space and calculates values related to a predicted magnetic field strength through at least a portion of {HEAD ~ the sensors} based on {TAIL ~ the estimated positions} of the plurality of magnets 
based on
A processor calculates an estimated position of each of the plurality of magnets in a three dimensional space and calculates values related to a predicted magnetic field strength through at least a portion of { HEAD ~ the sensors } based on { TAIL ~ the estimated positions } of the plurality of magnets
OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH HEAD HEAD HEAD HEAD HEAD HEAD REL REL TAIL TAIL TAIL TAIL TAIL TAIL TAIL OTH OTH OTH OTH OTH