The various movements of {HEAD ~ the array} may be reconstructed to determine {TAIL ~ a net two or three dimensional translation} 
The various movements of { HEAD ~ the array } may be reconstructed to determine { TAIL ~ a net two or three dimensional translation }
OTH OTH OTH OTH HEAD HEAD HEAD HEAD HEAD HEAD OTH OTH OTH OTH OTH TAIL TAIL TAIL TAIL TAIL TAIL TAIL TAIL TAIL TAIL TAIL