Inverse Transport and Acousto-Optic Imaging
Francis J Chung, John C Schotland
TL;DR
This paper presents a method to accurately recover optical properties of scattering media using acousto-optic measurements, providing stable reconstruction formulas for scattering and absorption coefficients.
Contribution
It introduces algebraic inversion formulas that enable Lipschitz stable recovery of optical properties from acousto-optic data, advancing inverse transport problem solutions.
Findings
Lipschitz stability in reconstructing optical coefficients
Explicit algebraic inversion formulas derived
Stable recovery of scattering and absorption coefficients
Abstract
We consider the inverse problem of recovering the optical properties of a highly-scattering medium from acousto-optic measurements. Using such measurements, we show that the scattering and absorption coefficients of the radiative transport equation can be reconstructed with Lipschitz stability by means of algebraic inversion formulas.
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