Tomographic reconstruction of the three-dimensional auroral are emissi
on is used to obtain vertical and horizontal distributions of the opti
cal auroral emission. Under the given experimental conditions with a v
ery limited angular range and a small number of observers, algebraic r
econstruction methods generally yield better results than transform te
chniques. Different algebraic reconstruction methods are tested with a
n auroral are model and the best results are obtained with an iterativ
e least-square method adapted from emission-computed tomography. The o
bservation geometry used during a campaign in Norway in 1995 is tested
with the are model and root-mean-square errors, to be expected under
the given geometrical conditions, are calculated. Although optimum geo
metry was not used, root-mean-square errors of less than 2% for the im
ages and of the order of 30% for the distribution could be obtained. T
he method is applied to images from real observations. The corresponde
nce of original pictures and projections of the reconstructed volume i
s discussed, and emission profiles along magnetic field lines through
the three-dimensionally reconstructed are are calibrated into electron
density profiles with additional EISCAT measurements. Including a bac
kground profile and the temporal changes of the electron density due t
o recombination, good agreement can be obtained between measured profi
les and the time-sequence of calculated profiles. These profiles are u
sed to estimate the conductivity distribution in the vicinity of the E
ISCAT site. While the radar can only probe the ionosphere along the ra
dar beam, the three-dimensional tomography enables conductivity estima
tes in a large area around the radar site.