Three-Dimensional Optical Diffraction Tomography With Lippmann-Schwinger Model

A broad class of imaging modalities involve the resolution of an inverse-scattering problem. Among them, three-dimensional optical diffraction tomography (ODT) comes with its own challenges. These include a limited range of views, a large size of the sample with respect to the illumination wavelengt...

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Bibliographic Details
Published in:IEEE transactions on computational imaging 2020-01, Vol.6 (1), p.727-738
Main Authors: Pham, Thanh-an, Soubies, Emmanuel, Ayoub, Ahmed, Lim, Joowon, Psaltis, Demetri, Unser, Michael
Format: Article
Language:English
Subjects:
Computational modeling
Computer Science
Computer simulation
Diffraction
Engineering Sciences
Green's function discretization
Green's function methods
Green's functions
Image Processing
Image reconstruction
Lippmann-Schwinger equation
Mathematical model
Optical diffraction
Optical diffraction tomography (ODT)
Optics
Photonic
Signal and Image processing
Three dimensional models
Tomography
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Summary:A broad class of imaging modalities involve the resolution of an inverse-scattering problem. Among them, three-dimensional optical diffraction tomography (ODT) comes with its own challenges. These include a limited range of views, a large size of the sample with respect to the illumination wavelength, and optical aberrations that are inherent to the system itself. In this work, we present an accurate and efficient implementation of the forward model. It relies on the exact (nonlinear) Lippmann-Schwinger equation. We address several crucial issues such as the discretization of the Green function, the computation of the far field, and the estimation of the incident field. We then deploy this model in a regularized variational-reconstruction framework and show on both simulated and real data that it leads to substantially better reconstructions than the approximate models that are traditionally used in ODT.
ISSN:2573-0436
2333-9403
2333-9403
DOI:10.1109/TCI.2020.2969070