Open AccessVersatile reconstruction framework for diffraction tomography with intensity measurements and multiple scattering
Author(s) -
Thanh-an Pham,
Emmanuel Soubies,
Alexandre Goy,
Joowon Lim,
Ferréol Soulez,
Demetri Psaltis,
Michaël Unser
Publication year - 2018
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.26.002749
Subject(s) - holography , inverse problem , computer science , optics , phase retrieval , inverse scattering problem , iterative reconstruction , regularization (linguistics) , nonlinear system , algorithm , diffraction , tomography , diffraction tomography , modularity (biology) , scattering , fourier transform , physics , artificial intelligence , mathematics , mathematical analysis , quantum mechanics , biology , genetics
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.