Theory of Adaptive Acquisition Method for Image Reconstruction from Projections and Application to EPR Imaging

An adaptive method for selecting the projections to be used for image reconstruction is presented. The method starts with the acquisition of four projections at angles of 0°, 45°, 90°, 135° and selects the new angles by computing a function of the previous projections. This makes it possible to adapt the selection of projections to the arbitrary shape of the sample, thus measuring a more informative set of projections. When the sample is smooth or has internal symmetries, this technique allows a reduction in the number of projections required to reconstruct the image without loss of information. The method has been tested on simulated data at different values of signal-to-noise ratio (S/N) and on experimental data recorded by an EPR imaging apparatus.