NOISE-PROPAGATION IN DIFFRACTION TOMOGRAPHY - COMPARISON OF CONVENTIONAL ALGORITHMS WITH A NEW RECONSTRUCTION ALGORITHM

In ultrasonic diffraction tomography, ultrasonic waves are used to pro be the object of interest at various angles. The incident waves scatte r when encountering inhomogeneities, unlike conventional X-ray CT. The oretically, when the scattering inhomogeneities are considered weak, t he scattering object can be reconstructed by algorithms developed from a generalized central slice theorem. We develop a hybrid algorithm fo r reconstruction of a scattering object by transforming the scattered data into a conventional X-ray-like sinogram thus allowing, standard X -ray reconstruction algorithms, such as filtered back-projection, to b e applied. We investigate the statistical properties of the filtered b ack-propagation, direct Fourier, and newly proposed hybrid reconstruct ion algorithms by performing analytical as well as numerical studies.