Sets of projections of measurements through an object (1) the image of
which is to be represented, undergo Fourier transforms before being broken down
into blocks according to cutoff frequencies. The blocks are separately reconstructed
in order to form a series of thumbnail images of the object, which are then combined
in order to reconstruct the final image. The reconstruction calculations on the
thumbnail images are rapid and often a large portion of the blocks will be discarded,
notably those which are at high frequencies, whereby their contribution may frequently
be neglected as well as the noise effects which accumulate therein.
The invention is applied to medical or industrial tomography methods and is of
larger interest for mobile objects, the movement of which may be estimated and compensated.