2022
DOI: 10.1038/s42256-022-00530-3
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Recovery of continuous 3D refractive index maps from discrete intensity-only measurements using neural fields

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Cited by 43 publications
(9 citation statements)
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“…This regularity allows us to efficiently optimize o and ϕ using stochastic gradient descent, starting from random initializations. Related network-based parameterizations of images have been applied successfully to microscopy (39,40), tomographic microscopy (41,42), magnetic resonance imaging (43), and other applications (44)(45)(46)(47)(48)(49)(50).…”
Section: Resultsmentioning
confidence: 99%
“…This regularity allows us to efficiently optimize o and ϕ using stochastic gradient descent, starting from random initializations. Related network-based parameterizations of images have been applied successfully to microscopy (39,40), tomographic microscopy (41,42), magnetic resonance imaging (43), and other applications (44)(45)(46)(47)(48)(49)(50).…”
Section: Resultsmentioning
confidence: 99%
“…Such schemes have also come to be known as "untrained" or "self-supervised" and have been used in a variety of inverse problems. [8][9][10][11][12][13][14][15][16][17] They are beyond the scope of the present paper.…”
Section: Canonical Formulation For Non-invasive 3d Imagingmentioning
confidence: 95%
“…[63][64][65] It is also worthwhile to pinpoint again the self-supervised and neural field-based approaches (mentioned earlier) as they have been applied to the same problem. 14,16 For even stronger scattering, as mentioned earlier, the forward computation generally relies on the beam propagation method instead of inverting the Lippmann-Schwinger equation (24). Using the raw intensity measurement directly, some of the earlier works relied on gradient descent with sparse regularization, 66 which has the benefit that the beam propagation operator is geometrically analogous to a neural network.…”
Section: Pure Dielectric Response Weak Scattering and Negligible Diff...mentioning
confidence: 99%
“…To solve these reconstruction artifacts, convolutional neural networks have been trained in supervised or unsupervised settings, either using a fully-learned framework or in combination with a physical model [12][13][14][15][16][17]. Different approaches have been considered such as direct inversion, plug-and-play (PnP) priors, or physics-informed neural network (PINN) schemes.…”
Section: Introductionmentioning
confidence: 99%