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Recent advances in diffuse optical imaging
We review the current state-of-the-art of diffuse optical imaging, which is an emerging
technique for functional imaging of biological tissue. It involves generating images using …
technique for functional imaging of biological tissue. It involves generating images using …
Electrical impedance tomography and Calderón's problem
G Uhlmann - Inverse problems, 2009 - iopscience.iop.org
We survey mathematical developments in the inverse method of electrical impedance
tomography which consists in determining the electrical properties of a medium by making …
tomography which consists in determining the electrical properties of a medium by making …
Deep D-bar: Real-time electrical impedance tomography imaging with deep neural networks
The mathematical problem for electrical impedance tomography (EIT) is a highly nonlinear ill-
posed inverse problem requiring carefully designed reconstruction procedures to ensure …
posed inverse problem requiring carefully designed reconstruction procedures to ensure …
Neural inverse operators for solving PDE inverse problems
R Molinaro, Y Yang, B Engquist, S Mishra - ar**s from
operators to functions. Existing operator learning frameworks map functions to functions and …
operators to functions. Existing operator learning frameworks map functions to functions and …
Dominant-current deep learning scheme for electrical impedance tomography
Objective: Deep learning has recently been applied to electrical impedance tomography
(EIT) imaging. Nevertheless, there are still many challenges that this approach has to face …
(EIT) imaging. Nevertheless, there are still many challenges that this approach has to face …
Bayesian probabilistic numerical methods
Over forty years ago average-case error was proposed in the applied mathematics literature
as an alternative criterion with which to assess numerical methods. In contrast to worst-case …
as an alternative criterion with which to assess numerical methods. In contrast to worst-case …
[KÖNYV][B] Carleman estimates for coefficient inverse problems and numerical applications
MV Klibanov, AA Timonov - 2004 - books.google.com
In this monograph, the main subject of the author's considerations is coefficient inverse
problems. Arising in many areas of natural sciences and technology, such problems consist …
problems. Arising in many areas of natural sciences and technology, such problems consist …
Advances in electrical impedance tomography inverse problem solution methods: From traditional regularization to deep learning
Electrical Impedance Tomography (EIT) has emerged as a valuable medical imaging
modality, which visualizes the conductivity distribution of a subject by performing multi …
modality, which visualizes the conductivity distribution of a subject by performing multi …
Numerical solution of inverse problems by weak adversarial networks
In this paper, a weak adversarial network approach is developed to numerically solve a
class of inverse problems, including electrical impedance tomography and dynamic …
class of inverse problems, including electrical impedance tomography and dynamic …
Inverse problems: seeing the unseen
G Uhlmann - Bulletin of Mathematical Sciences, 2014 - Springer
This survey article deals mainly with two inverse problems and the relation between them.
The first inverse problem we consider is whether one can determine the electrical …
The first inverse problem we consider is whether one can determine the electrical …