It is essence of gear integrated error measurement to obtain gear error information by measuring gear tuming angle variation on the base of single-flank engagement between the measurement worm and the gear. The error of measurement worm is the key factor which affects the measurement accuracy

so it is important for improving the measurement accuracy to compensate the error of measurement worm. With the tool of circle vector function

the involute helix profile with error is given

and with the media of engagement line

the error compensation mathematical model is established.