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="")