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