A transform is described for analysing scanning-probe-microscope image
s. This radial-histogram transform is shown to contain useful informat
ion for ascertaining the structure of an object in a scanning-probe-mi
croscope image. The radial-histogram transform also allows quantitativ
e assessment of tip dilation effects. The utility of the transform is
illustrated by analysing a noncontact atomic force microscope image of
a nanometer size Au cluster supported on a mica substrate. Using the
radial-histogram transform, detailed information about the faceting, s
tructure, and orientation of the supported nanometer-size cluster is o
btained.