The need for the reconstruction of three-dimensional structures from two-di
mensional sections or projections is well known. We use the computer experi
ment to study the problem. Four models all with spherical objects were prep
ared to study the possibility of at least partial reconstruction of three-d
imensional structures from their two-dimensional sections. The criterion on
how to judge whether the reconstructed structure consists of constant size
objects is given. There are discussed errors caused by the influence of li
mited numbers of objects or of digitisation. In the paper the use of the in
tegral transform method to unfold the structures is illustrated. The result
s of the structure reconstruction are presented. They give us the convictio
n that the method is widely usable not only for spherical objects. (C) 2000
Elsevier Science S.A. All rights reserved.