Optical Diffraction Tomography by Use of Optimization and Phase-Based Fidelity Criterion

We introduce a method for reconstructing phase objects in optical diffraction tomography (ODT) based on regularized convex optimization with a new phase-based fidelity criterion. The new criterion is necessary because objects of different refractive-index distributions may produce similar diffracted...

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Bibliographic Details
Published in:IEEE journal of selected topics in quantum electronics 2021-07, Vol.27 (4), p.1-9
Main Authors: Smith-Dryden, Seth, Fan, Shengli, Saleh, Bahaa E. A., Li, Guifang
Format: Article
Language:English
Subjects:
Accuracy
Algorithms
Computational geometry
Convexity
Cost function
Criteria
Diffraction
Image reconstruction
Imaging
inverse problems
Optical diffraction
Optical fibers
Optical tomography
Optimization
Phase measurement
Phase objects
Scattering
Tomography
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Summary:We introduce a method for reconstructing phase objects in optical diffraction tomography (ODT) based on regularized convex optimization with a new phase-based fidelity criterion. The new criterion is necessary because objects of different refractive-index distributions may produce similar diffracted fields (magnitude and principal-phase) on the detection planes. This surjective, but non-injective relation, attributed to the cyclical nature of the phase, makes optimization algorithms using field-based cost functions prone to local minima that degrade reconstructive accuracy-particularly for objects introducing large optical pathlength difference. A phase-based optimization algorithm that avoids this problem has been developed and tested successfully using simulated data from phantoms and experimental data measured from optical fibers.
ISSN:1077-260X
1558-4542
DOI:10.1109/JSTQE.2020.3025879