Optical diffraction tomography (ODT) allows one to quantitatively measure the distribution of the refractive index (RI) of the sample [1]. It proceeds by measuring the complex fields that are produced when the sample is illuminated with plane waves from different angles. This allows for the deployment of numerical methods to recover the RI. In this work, we are interested in the limited-angle regime where only some angles are available, which makes the problem ill-posed. To overcome it, it is common to add prior knowledge (i.e., regularization) to the sample during the reconstruction such as non-negativity constraint. The project aims at implementing and evaluating a new regularization for ODT. The code will be done on Matlab within the GlobalBioIm library [2]. Good skill in Matlab is required. Please contact us for further details.

Reference
[1] Soubies, E., Pham, T. A., & Unser, M. (2017). Efficient inversion of multiple-scattering model for optical diffraction tomography. Optics express, 25(18), 21786-21800.
[2] Soubies, E., Soulez, F., Mccann, M. T., Pham, T. A., Donati, L., Debarre, T., ... & Unser, M. (2019). Pocket guide to solve inverse problems with globalbioim. Inverse Problems, 35(10), 104006.