Method for acquisition of radiological data in multiple orthogonal orientations using a 2D detector relating to a body irradiated with x-rays and for reconstruction of structures corresponding to said body using an algebraic algorithm

In volume densitometry, and in cases where the number of views which it is possible to obtain is low, the artifact rate resulting from the reconstructions is reduced. At least one view is obtained of the object (4) to be reconstructed, the principal direction (11) of irradiation of which is orientated substantially orthogonally, in a plane formed by or containing the other (5, 8) irradiation directions corresponding to the other views. In voludensitometry and in cases in which it is necessary to acquire only a small number of views, the artifact ratio resulting from reconstructions is reduced. There is acquired at least one view of the object to be reconstructed, the principal direction of irradiation of which is oriented substantially at right angles to a plane formed by or containing the other directions of irradiation corresponding to the other views.