This paper presents an automated instrument for high-precision roundne
ss measurement of spheres. Instead of a rotating spindle, the surface
of the sphere itself is used as a geometrical reference. The measureme
nt method is based on the well-established three-point method. In our
design, two points are realized as mechanical contacting points and on
e as a capacitive gauge that directly faces the surface of the sphere.
By this simple design-without any moving parts involved in the probin
g process-we measured the roundness of 1-inch steel spheres with nanom
eter resolution. After a short introduction into the basic mathematics
of the three-point method, the design of the instrument is presented,
including the automation of the measuring process and the means used
to minimize environmental effects in an industrial environment. Result
s are presented that prove the outstanding repeatability and accuracy
of the instrument. In a comparison with conventional methods, the adva
ntages and limitation of the method are discussed. (C) 1998 Elsevier S
cience Inc.