1.Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
2.Sensebrain Technology Limited LLC, 2550 N 1st Street, Suite 300, San Jose, CA 95131, USA
3.Omnisens SA, Riond Bosson 3, 1110 Morges, VD, Switzerland
4.Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
5.Singapore-MIT Alliance for Research and Technology (SMART) Centre, Singapore 117543, Singapore
Mo Deng (modeng@mit.edu)
纸质出版日期:2020,
网络出版日期:2020-03-09,
收稿日期:2019-08-29,
修回日期:2020-02-04,
录用日期:2020-02-19
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Learning to synthesize: robust phase retrieval at low photon counts[J]. LSA, 2020,9(2):343-358.
Deng, M. et al. Learning to synthesize: robust phase retrieval at low photon counts. Light: Science & Applications, 9, 343-358 (2020).
Learning to synthesize: robust phase retrieval at low photon counts[J]. LSA, 2020,9(2):343-358. DOI: 10.1038/s41377-020-0267-2.
Deng, M. et al. Learning to synthesize: robust phase retrieval at low photon counts. Light: Science & Applications, 9, 343-358 (2020). DOI: 10.1038/s41377-020-0267-2.
The quality of inverse problem solutions obtained through deep learning is limited by the nature of the priors learned from examples presented during the training phase. Particularly in the case of quantitative phase retrieval
spatial frequencies that are underrepresented in the training database
most often at the high band
tend to be suppressed in the reconstruction. Ad hoc solutions have been proposed
such as pre-amplifying the high spatial frequencies in the examples; however
while that strategy improves the resolution
it also leads to high-frequency artefacts
as well as low-frequency distortions in the reconstructions. Here
we present a new approach that learns separately how to handle the two frequency bands
low and high
and learns how to synthesize these two bands into full-band reconstructions. We show that this "learning to synthesize" (LS) method yields phase reconstructions of high spatial resolution and without artefacts and that it is resilient to high-noise conditions
e.g.
in the case of very low photon flux. In addition to the problem of quantitative phase retrieval
the LS method is applicable
in principle
to any inverse problem where the forward operator treats different frequency bands unevenly
i.e.
is ill-posed.
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