Phase contrast tomography using holographic measurements

Phase contrast tomography is a developing area in imaging. It is an extension of conventional tomography additionally employing phase information. However, a strong coherence condition is needed for the measurement set-up. Applications at synchrotron devices have been performed since 1998 with convincing success. Devices for small laboratories are about to be implemented in the near future. In this paper several models for phase contrast tomography are derived from the wave equation: Error estimates show the area of validity of these models. Using results from tomography, such as approximate inverse and fast backprojection, efficient reconstruction algorithms are worked out. Numerical tests with synthetic and real data are included.