Roundness profiles are compared which were obtained from measurements
carried out at five national metrology laboratories. The object used f
or this comparison was a zirconium-oxide sphere with a profile contain
ing higher harmonics and a total roundness deviation of about 42 nm. T
he measurement results were obtained using different and independent m
easuring instruments and different evaluation methods for spindle erro
r separation. The number of data points used ranged from 50 to 4096. B
efore the analysis, the profiles were transformed to a common digital
data format containing 1024 points and a correlation analysis was carr
ied out to determine a common zero position for the profiles. In the a
nalysis, standard deviations and maximum deviations were calculated fr
om point-by-point differences of the profiles with reference to one an
other or to the average profile. Fourier analysis was used to select a
spectral area for an analysis at the edge of the significance limit.
The comparison shows that each participating laboratory is able to mea
sure a roundness profile with a standard deviation in each data point
of less than 2 nm.