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