Versatile Reconstruction Framework for Diffraction Tomography with Intensity Measurements and Multiple Scattering
T.-a. Pham, E. Soubies, A. Goy, J. Lim, F. Soulez, D. Psaltis, M. Unser
Optics Express, vol. 26, no. 3, pp. 2749-2763, February 5, 2018.
Taking benefit from recent advances in both phase retrieval and estimation of refractive indices from holographic measurements, we propose a unified framework to reconstruct them from intensity-only measurements. Our method relies on a generic and versatile formulation of the inverse problem and includes sparsity constraints. Its modularity enables the use of a variety of forward models, from simple linear ones to more sophisticated nonlinear ones, as well as various regularizers. We present reconstructions that deploy either the beam-propagation method or the iterative Lippmann-Schwinger model, combined with total-variation regularization. They suggest that our proposed (intensity-only) method can reach the same performance as reconstructions from holographic (complex) data. This is of particular interest from a practical point of view because it allows one to simplify the acquisition setup.
@ARTICLE(http://bigwww.epfl.ch/publications/pham1801.html, AUTHOR="Pham, T.-a. and Soubies, E. and Goy, A. and Lim, J. and Soulez, F. and Psaltis, D. and Unser, M.", TITLE="Versatile Reconstruction Framework for Diffraction Tomography with Intensity Measurements and Multiple Scattering", JOURNAL="Optics Express", YEAR="2018", volume="26", number="3", pages="2749--2763", month="February 5,", note="")