Inverse transport and acousto-optic imaging

Francis J. Chung; John C. Schotland

doi:10.1137/16M1104767

Inverse transport and acousto-optic imaging

Francis J. Chung, John C. Schotland

Mathematics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

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.

Original language	English
Pages (from-to)	4704-4721
Number of pages	18
Journal	SIAM Journal on Mathematical Analysis
Volume	49
Issue number	6
DOIs	https://doi.org/10.1137/16M1104767
State	Published - 2017

Bibliographical note

Publisher Copyright:
© 2017 Society for Industrial and Applied Mathematics.

Keywords

Acoustooptic tomography
Hybrid inverse problem
Inverse problem
Radiative transport equation

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/16M1104767

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title = "Inverse transport and acousto-optic imaging",

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.",

keywords = "Acoustooptic tomography, Hybrid inverse problem, Inverse problem, Radiative transport equation",

author = "Chung, {Francis J.} and Schotland, {John C.}",

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doi = "10.1137/16M1104767",

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AU - Chung, Francis J.

AU - Schotland, John C.

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KW - Acoustooptic tomography

KW - Hybrid inverse problem

KW - Inverse problem

KW - Radiative transport equation

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JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

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Inverse transport and acousto-optic imaging

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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