Limited-angle hybrid diffraction tomography for biological samples

In the paper the case of diffraction tomography with limited angle of projections is discussed from the experimental and algorithmic point of views. To reconstruct a 3D distribution of refractive index of an object under study, we use the hybrid approach, which enables to apply the standard Computer Tomography algorithms for phase data obtained by digital holography. We present the results of applying Simultaneous Algebraic Reconstruction Technique together with Anisotropic Total Variation minimization (SART+ATV) on both a phantom object and real data acquired from an experimental setup based on a Mach-Zehnder interferometer configuration. Also, the analysis of the influence of the limited number of projections within a limited angular range is presented. We prove that in the case of simulated data, the limited number of projections captured in a limited angular range can be compensated by higher number of iterations of the algorithm. We also show that SART+ATV method applied for experimental data gives better results than the popular Data Replenishment algorithm.

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