Data-driven superresolution imaging in disordered media

A Alexander Christie (Department of Mathematics) M Matan Leibovich (Courant Institute of Mathematical Sciences) M Miguel Moscoso (Department of Mathematics) A Alexei Novikov (Department of Mathematics) G George Papanicolaou (Department of Mathematics) C Chrysoula Tsogka (Department of Applied Mathematics)

Abstract

We propose a methodology that exploits large and diverse datasets to accurately estimate the ambient medium’s Green’s functions in strongly scattering media. Given these estimates, excellent imaging results are achieved, with a resolution that is better than that of a homogeneous medium. This phenomenon, known as superresolution, arises because the ambient scattering medium effectively enlarges the physical imaging aperture. While superresolution has been demonstrated and analyzed extensively in the context of physical time reversal, time reversal itself is not imaging. Our proposed methodology, based on either conventional optimization methods or neural networks, makes it possible to achieve superresolution imaging in complex media.

Article Details

Volume / Issue Vol. 123, Issue 1
Published January 06, 2026
ISSN 0027-8424
Publisher National Academy of Sciences

Authors (6)

A

Alexander Christie

Department of Mathematics

M

Matan Leibovich

Courant Institute of Mathematical Sciences

M

Miguel Moscoso

Department of Mathematics

A

Alexei Novikov

Department of Mathematics

G

George Papanicolaou

Department of Mathematics

C

Chrysoula Tsogka

Department of Applied Mathematics