Apparatus 4, wherein said predefined width of thin lines is a width of one pixel and {HEAD ~ each point} along said line P comprises {TAIL ~ a distinct pixel} 
comprises
Apparatus 4 , wherein said predefined width of thin lines is a width of one pixel and { HEAD ~ each point } along said line P comprises { TAIL ~ a distinct pixel }
OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH HEAD HEAD HEAD HEAD HEAD HEAD OTH OTH OTH OTH REL TAIL TAIL TAIL TAIL TAIL TAIL TAIL