  We present the initial results of a study of globular clusters in M31, using
the Faint Object Camera (FOC) on the Hubble Space Telescope (HST). The sample
of objects consists of 13 clusters spanning a range of properties. Three inde-
pendent image deconvolution techniques were used in order to compensate for the
optical problems of the HST, leading to mutually fully consistent results. We
present detailed tests and comparisons to determine the reliability and limits
of these deconvolution methods, and conclude that high-quality surface photome-
try of M31 globulars is possible with the HST data. Surface brightness profiles
have been extracted, and core radii, half-light radii, and central surface
brightness values have been measured for all of the clusters in the sample.
Their comparison with the values derived from ground-based observations indi-
cates the later to be systematically and strongly biased by the seeing effects,
as it may be expected. A comparison of the structural parameters with those of
the Galactic globulars shows that the structural properties of the M31 globu-
lars are very similar to those of their Galactic counterparts. A candidate for
a post-core-collapse cluster, Bo 343 = G 105, has been already identified from
these data; this is the first such detection in the M31 g. c. system.
